\u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alpha A+\\beta B+\\gamma C[\/latex]\u4e14\u6ee1\u8db3[latex]\\alpha +\\beta +\\gamma=1[\/latex]<\/p>\n\n\n\n
\u5982\u679c\u8fd9\u4e2a\u70b9\u5728\u4e09\u89d2\u5f62\u5185\u90e8\uff0c\u90a3\u4e48[latex]\\alpha[\/latex]\u3001[latex]\\beta[\/latex]\u548c[latex]\\gamma[\/latex]\u90fd\u662f\u6b63\u6570\u3002<\/p>\n\n\n\n
\u7531[latex]\\alpha[\/latex]\u3001[latex]\\beta[\/latex]\u548c[latex]\\gamma[\/latex]\u5c31\u662f\u91cd\u5fc3\u5750\u6807\uff1a[latex](\\alpha,\\beta\\gamma)[\/latex]<\/p>\n\n\n\n
\u7ed9\u51fa\u4e09\u89d2\u5f62\u5185\u4e00\u70b9\uff0c\u53ef\u4ee5\u6839\u636e\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u6c42\u51fa\u5b83\u7684\u91cd\u5fc3\u5750\u6807\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n[latex]\\alpha =\\frac{A_A}{A_A+A_B+A_C}[\/latex][latex]\\beta =\\frac{A_B}{A_A+A_B+A_C}[\/latex][latex]\\gamma =\\frac{A_C}{A_A+A_B+A_C}[\/latex]<\/p>\n\n\n\n\u4e09\u89d2\u5f62\u91cd\u5fc3\u7684\u91cd\u5fc3\u5750\u6807\uff1a[latex](\\frac{1}{3},\\frac{1}{3},\\frac{1}{3}[\/latex]<\/p>\n\n\n\n\u91cd\u5fc3\u5750\u6807\u7684\u7b80\u5316\u8ba1\u7b97\u65b9\u5f0f\uff1a<\/p>\n\n\n\n[latex]\\alpha =\\frac{-\\left(x-x_B\\right)\\left(y_C-y_B\\right)+\\left(y-y_B\\right)\\left(x_C-x_B\\right)}{-\\left(x_A-x_B\\right)\\left(y_C-y_B\\right)+\\left(y_A-y_B\\right)\\left(x_C-x_B\\right)}[\/latex]<\/p>\n\n\n\n[latex]\\beta =\\frac{-\\left(x-x_C\\right)\\left(y_A-y_C\\right)+\\left(y-y_C\\right)\\left(x_A-x_C\\right)}{-\\left(x_B-x_C\\right)\\left(y_A-y_C\\right)+\\left(y_B-y_C\\right)\\left(x_A-x_C\\right)}[\/latex]<\/p>\n\n\n\n[latex]\\gamma =1-\\alpha-\\beta[\/latex]<\/p>\n\n\n\n\u63d2\u503c<\/h3>\n\n\n\n\u5f97\u5230\u4e09\u89d2\u5f62\u5185\u4efb\u610f\u4e00\u70b9\u7684\u91cd\u5fc3\u5750\u6807\u540e\uff0c\u53ef\u4ee5\u5c06\u91cd\u5fc3\u5750\u6807\u4e58\u4e0a\u5bf9\u5e94\u9876\u70b9\u7684\u5c5e\u6027\uff0c\u5f97\u5230\u4e09\u89d2\u5f62\u5185\u4efb\u610f\u4e00\u70b9\u7684\u5c5e\u6027\u3002<\/p>\n\n\n\n[latex]V=\\alpha V_A+\\beta V_B+\\gamma V_C[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n[latex]V_A[\/latex]\uff0c[latex]V_B[\/latex]\uff0c[latex]V_C[\/latex]\u53ef\u4ee5\u662f\u4f4d\u7f6e\uff0c\u7eb9\u7406\u5750\u6807\uff0c\u989c\u8272\uff0c\u6cd5\u7ebf\uff0c\u6df1\u5ea6\uff0c\u6750\u8d28\u5c5e\u6027\u2026<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u5728\u6295\u5f71\u53d8\u6362\u4e0b\uff0c\u91cd\u5fc3\u5750\u6807\u5e76\u4e0d\u80fd\u4fdd\u8bc1\u4e0d\u53d8\uff0c\u5373\u7a7a\u95f4\u4e2d\u7684\u4e09\u89d2\u5f62\u91cd\u5fc3\u5750\u6807\u548c\u6295\u5f71\u540e\u7684\u4e2d\u5fc3\u5750\u6807\u5f88\u53ef\u80fd\u4e0d\u76f8\u540c\u3002\u6240\u4ee5\u5728\u6c42\u6295\u5f71\u5750\u6807\u65f6\uff0c\u8981\u5728\u7a7a\u95f4\u4e2d\u6c42\uff0c\u800c\u4e0d\u80fd\u5728\u8fdb\u884c\u6295\u5f71\u53d8\u6362\u540e\u518d\u6c42<\/p>\n\n\n\n\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u5e94\u7528\u7eb9\u7406<\/h3>\n\n\n\n\u6839\u636e\u4e09\u89d2\u5f62\u9876\u70b9\u5750\u6807\u63d2\u503c\u51fa\u6bcf\u4e2a\u70b9\u7684\u7eb9\u7406\u5750\u6807\uff0c\u7136\u540e\u5728\u7eb9\u7406\u56fe\u4e0a\u627e\u5230\u5bf9\u5e94\u7684\u70b9\uff0c\u4e5f\u5c31\u90a3\u4e2a\u70b9\u7684\u6f2b\u53cd\u5c04\u7cfb\u6570\u3002<\/p>\n\n\n\n\u7eb9\u7406\u8fc7\u5c0f<\/h3>\n\n\n\n\u8fd1\u4f3c\u67e5\u8be2<\/h4>\n\n\n\n\u7eb9\u7406\u4e0a\u7684\u50cf\u7d20\u2014\u7eb9\u7406\u5143\u7d20<\/p>\n\n\n\n\u6c42\u51fa\u4e00\u70b9\u7684\u5bf9\u5e94\u7684\u7eb9\u7406\u5750\u6807\u540e\uff0c\u4f1a\u627e\u5230\u8ddd\u79bb\u6700\u8fd1\u7684\u7eb9\u7406\u5143\u7d20\u5e76\u7740\u8272\u3002<\/p>\n\n\n\n\u4f46\u662f\u5f53\u6a21\u578b\u7cbe\u5ea6\u5927\u4e8e\u7eb9\u7406\u7cbe\u5ea6\u65f6\uff0c\u4f1a\u53d1\u751f\u591a\u4e2a\u50cf\u7d20\u7684\u7eb9\u7406\u5143\u7d20\u76f8\u540c\u3002<\/p>\n\n\n\n\u5de6\uff1a\u6700\u8fd1\u7eb9\u7406\u5750\u6807\uff0c\u4e2d\uff1a\u53cc\u7ebf\u6027\u63d2\u503c\uff0c\u53f3\uff1a\u4e09\u7ebf\u6027\u63d2\u503c<\/figcaption><\/figure >\n\u5de6\uff1a\u6700\u8fd1\u7eb9\u7406\u5750\u6807\uff0c\u4e2d\uff1a\u53cc\u7ebf\u6027\u63d2\u503c\uff0c\u53f3\uff1a\u4e09\u7ebf\u6027\u63d2\u503c<\/figcaption><\/figure><\/noscript>\n\n\n\n\u627e\u6700\u8fd1\u7684\u7eb9\u7406\u5143\u7d20\u65f6\uff0c\u7ea2\u8272\u7684\u70b9\u4f1a\u627e\u5230\u7eb9\u7406\u6837\u672cu11<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53cc\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5728\u53cc\u7ebf\u6027\u63d2\u503c\u65f6\uff0c\u4f1a\u627e\u5230\u7ea2\u70b9\u5468\u56f4\u7684\u56db\u4e2a\u7eb9\u7406\u6837\u672c\u3002\u53ef\u4ee5\u627e\u5230\u7ea2\u70b9\u8ddd\u79bb\u5de6\u4e0b\u89d2\u7684\u6c34\u5e73\u8ddd\u79bb[latex]s[\/latex]\u548c\u7ad6\u76f4\u8ddd\u79bb[latex]t[\/latex]\u3002\uff08\u8ba4\u4e3a\u6bcf\u4e24\u4e2a\u7eb9\u7406\u5143\u7d20\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e3a1\uff09<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7ebf\u6027\u63d2\u503c\uff1a[latex]lerp(x,v_0 ,v_1 )=v_0 +x(v_1 -v_0 )[\/latex]<\/p>\n\n\n\n\u5b9a\u4e49\u4e00\u4e2a[latex]x[\/latex]\uff0c\u5728[latex]v_0[\/latex]\u5230[latex]v_1[\/latex]\u4e4b\u95f4<\/p>\n\n\n\n\u5148\u7528[latex]s[\/latex]\u5728\u5de6\u4e0b\u89d2\u548c\u53f3\u4e0b\u89d2\u8fdb\u884c\u7ebf\u6027\u63d2\u503c\u5f97\u5230[latex]u_0[\/latex]\uff0c\u518d\u5728\u5de6\u4e0a\u89d2\u548c\u53f3\u4e0a\u89d2\u8fdb\u884c\u7ebf\u6027\u63d2\u503c[latex]u_1[\/latex]\u518d\u7528[latex]t[\/latex]\u5728[latex]u_0[\/latex]\u548c[latex]u_1[\/latex]\u4e4b\u95f4\u8fdb\u884c\u63d2\u503c\uff0c\u5f97\u5230\u7ea2\u70b9\u5904\u7684\u7eb9\u7406\u503c\u3002 <\/p>\n\n\n\n\u53cc\u4e09\u6b21\u63d2\u503c<\/h4>\n\n\n\n\u53cc\u4e09\u6b21\u63d2\u503c\uff08Bicubic\uff09\uff1a\u91c7\u7528\u5468\u56f416\u4e2a\u50cf\u7d20\u8fdb\u884c\u53cc\u4e09\u6b21\u63d2\u503c\uff0c\u5f97\u5230\u7684\u8d28\u91cf\u66f4\u597d\u3002<\/p>\n\n\n\n\u7eb9\u7406\u8fc7\u5927<\/h3>\n\n\n\n\u5f53\u7eb9\u7406\u8fc7\u5927\u65f6\uff0c\u8fdc\u5904\u7684\u50cf\u7d20\u70b9\u4f1a\u53d1\u751f\u4e00\u4e2a\u50cf\u7d20\u70b9\u4ee3\u8868\u4e86\u4e00\u5927\u7247\u7684\u7eb9\u7406\u5143\u7d20<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u65f6\u5c31\u4f1a\u51fa\u73b0\u6469\u5c14\u7eb9<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4ece\u4fe1\u53f7\u7684\u89d2\u5ea6\u6765\u8bf4\uff0c\u5c31\u662f\u91c7\u6837\u9891\u7387\u4f4e\u4e8e\u4fe1\u53f7\u7684\u53d8\u5316\u9891\u7387\u4ea7\u751f\u4e86\u7578\u53d8\u3002<\/p>\n\n\n\n\u5229\u7528\u8d85\u91c7\u6837\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u662f\u5176\u5f00\u9500\u4f1a\u975e\u5e38\u5927\u3002<\/p>\n\n\n\n\u6240\u4ee5\u73b0\u5728\u60f3\u8981\u4e0d\u91c7\u6837\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\nMipmap<\/h4>\n\n\n\nMipmap\u53ef\u4ee5\u505a\u5230\u5728\u4e0d\u91c7\u6837\u7684\u60c5\u51b5\u4e0b\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002\u5b83\u53ef\u4ee5\u505a\u5230\u5feb\u901f\u3001\u8fd1\u4f3c\u7684\u6b63\u65b9\u5f62\u8303\u56f4\u5e73\u5747\u50cf\u7d20\u67e5\u8be2\u3002\u4f46\u6ce8\u610f\uff0c\u5f97\u5230\u7684\u7ed3\u679c\u53ea\u662f\u8fd1\u4f3c\u503c\uff0c\u5e76\u4e14\u53ea\u80fd\u67e5\u8be2\u6b63\u65b9\u5f62\u8303\u56f4\u3002<\/p>\n\n\n\n\u5047\u8bbe\u6709\u4e00\u5f20\u5206\u8fa8\u7387\u4e3a128*128\u7684\u7eb9\u7406\u56fe\uff0c\u5c06\u539f\u56fe\u79f0\u4e3aLevel 0\u3002<\/p>\n\n\n\n\u5c06\u539f\u56fe\u7684\u957f\u5bbd\u90fd\u538b\u7f29\u4e00\u534a\uff0c\u79f0\u4e3aLevel 1\uff0c\u4e0d\u65ad\u538b\u7f29\u957f\u5bbd\uff0c\u76f4\u5230\u56fe\u7247\u53d8\u62101*1\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\nMipmap\u5360\u7528\u7684\u7a7a\u95f4\u662f\u539f\u56fe\u7684[latex]\\frac{4}{3}[\/latex]\uff0c\u5373\u7a7a\u95f4\u5f00\u9500\u589e\u52a0\u4e86[latex]\\frac{1}{3}[\/latex]\u3002\u5176\u5b9e\u5c31\u5bf9\u5e73\u5747\u50cf\u7d20\u8fdb\u884c\u9884\u5904\u7406\uff0c\u63d0\u524d\u5f97\u5230\u5404\u5c42\u6b21\u7684\u5e73\u5747\u50cf\u7d20\uff0c\u4e5f\u5c31\u662f\u7528\u7a7a\u95f4\u6362\u65f6\u95f4\u3002<\/p>\n\n\n\n\u56fe\u50cf\u91d1\u5b57\u5854\u4e5f\u5c31\u662f\u6307Mipmap\uff0cMipmap\u7684\u6bcf\u4e00\u4e2a\u7b49\u7ea7\u4e5f\u88ab\u79f0\u4e3a\u201c\u5c42\u201d\uff08D\uff09\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8ba1\u7b97Mipmap\u7b49\u7ea7<\/h4>\n\n\n\n\u8981\u8ba1\u7b97\u4e00\u4e2a\u50cf\u7d20\u7684Mipmap\u7b49\u7ea7\uff0c\u53ef\u4ee5\u5148\u627e\u51fa\u8be5\u50cf\u7d20\u4ee5\u53ca\u5176\u4e0a\u65b9\u3001\u53f3\u65b9\u4e24\u4e2a\u50cf\u7d20\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u5750\u6807\uff0c\u7136\u540e\u518d\u6839\u636e\u8fd9\u4e09\u4e2a\u70b9\u7684\u5750\u6807\u6c42\u51fa\u91c7\u6837\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u3002<\/p>\n\n\n\n[latex]L=\\max \\left(\\sqrt{\\left(\\frac{d u}{d x}\\right)^2+\\left(\\frac{d v}{d x}\\right)^2}, \\sqrt{\\left(\\frac{d u}{d y}\\right)^2+\\left(\\frac{d v}{d y}\\right)^2}\\right)[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u518d\u6839\u636e\u8fb9\u957fL\u5c31\u80fd\u6c42\u51fa\u7b49\u7ea7\u4e86[latex]D=\\log _2 L[\/latex]<\/p>\n\n\n\n\u4e09\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5c06Mipmap\u7b49\u7ea7\u53ef\u89c6\u5316\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53ef\u4ee5\u53d1\u73b0\uff0c\u5176\u7b49\u7ea7\u53d8\u5316\u975e\u5e38\u7684\u4e0d\u5e73\u6ed1\u3002\u5176\u539f\u56e0\u5c31\u662f\u8ba1\u7b97Mipmap\u65f6\uff0c\u53ea\u5bf9\u79bb\u6563\u7684\u7b49\u7ea7\u8fdb\u884c\u4e86\u91c7\u6837\u3002<\/p>\n\n\n\n\u53ef\u4ee5\u5229\u7528\u4e09\u7ebf\u6027\u63d2\u503c\u7684\u65b9\u6cd5\u6c42\u51fa\u8fde\u7eed\u7b49\u7ea7\u7684Mipmap\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5148\u7528\u53cc\u7ebf\u6027\u63d2\u503c\u5f97\u5230\u91c7\u6837\u70b9\u539f\u672c\u6240\u5728\u7684\u7b49\u7ea7D\u7684\u7eb9\u7406\u503c\uff0c\u518d\u53d6\u51fa\u91c7\u6837\u70b9\u9ad8\u4e00\u4e2a\u7b49\u7ea7D+1\u5c42\u7684\u7eb9\u7406\u503c\uff0c\u518d\u5c06\u4e24\u4e2a\u503c\u518d\u8fdb\u884c\u63d2\u503c\u3002<\/p>\n\n\n\n\u8fd9\u6837\u5f97\u5230\u7684Mipmap\u7b49\u7ea7\u5c31\u975e\u5e38\u5e73\u6ed1<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4<\/h4>\n\n\n\n\u4f46\u5982\u679c\u91c7\u7528Mipmap\u6765\u89e3\u51b3\u4e0a\u9762\u7684\u6469\u5c14\u7eb9\u95ee\u9898\uff0c\u4ea7\u751f\u7684\u56fe\u50cf\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fdc\u5904\u7684\u7ec6\u8282\u5b8c\u5168\u6d88\u5931\u4e86\u3002<\/p>\n\n\n\n\u5176\u539f\u56e0\u5c31\u662f\uff0c \u6bcf\u4e2a\u50cf\u7d20\u70b9\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u8303\u56f4\u5e76\u4e0d\u4e00\u5b9a\u662f\u6b63\u65b9\u5f62\u7684\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp …<\/p>","protected":false},"author":1,"featured_media":990,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,14,30,3],"tags":[17,15,16,12,22],"class_list":["post-991","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-games","category-games101","category-30","category-3","tag-games","tag-games101","tag-16","tag-12","tag-22"],"_links":{"self":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/comments?post=991"}],"version-history":[{"count":1,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions"}],"predecessor-version":[{"id":1754,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions\/1754"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media\/990"}],"wp:attachment":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media?parent=991"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/categories?post=991"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/tags?post=991"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
[latex]\\alpha =\\frac{A_A}{A_A+A_B+A_C}[\/latex][latex]\\beta =\\frac{A_B}{A_A+A_B+A_C}[\/latex][latex]\\gamma =\\frac{A_C}{A_A+A_B+A_C}[\/latex]<\/p>\n\n\n\n
\u4e09\u89d2\u5f62\u91cd\u5fc3\u7684\u91cd\u5fc3\u5750\u6807\uff1a[latex](\\frac{1}{3},\\frac{1}{3},\\frac{1}{3}[\/latex]<\/p>\n\n\n\n
\u91cd\u5fc3\u5750\u6807\u7684\u7b80\u5316\u8ba1\u7b97\u65b9\u5f0f\uff1a<\/p>\n\n\n\n
[latex]\\alpha =\\frac{-\\left(x-x_B\\right)\\left(y_C-y_B\\right)+\\left(y-y_B\\right)\\left(x_C-x_B\\right)}{-\\left(x_A-x_B\\right)\\left(y_C-y_B\\right)+\\left(y_A-y_B\\right)\\left(x_C-x_B\\right)}[\/latex]<\/p>\n\n\n\n
[latex]\\beta =\\frac{-\\left(x-x_C\\right)\\left(y_A-y_C\\right)+\\left(y-y_C\\right)\\left(x_A-x_C\\right)}{-\\left(x_B-x_C\\right)\\left(y_A-y_C\\right)+\\left(y_B-y_C\\right)\\left(x_A-x_C\\right)}[\/latex]<\/p>\n\n\n\n
[latex]\\gamma =1-\\alpha-\\beta[\/latex]<\/p>\n\n\n\n
\u5f97\u5230\u4e09\u89d2\u5f62\u5185\u4efb\u610f\u4e00\u70b9\u7684\u91cd\u5fc3\u5750\u6807\u540e\uff0c\u53ef\u4ee5\u5c06\u91cd\u5fc3\u5750\u6807\u4e58\u4e0a\u5bf9\u5e94\u9876\u70b9\u7684\u5c5e\u6027\uff0c\u5f97\u5230\u4e09\u89d2\u5f62\u5185\u4efb\u610f\u4e00\u70b9\u7684\u5c5e\u6027\u3002<\/p>\n\n\n\n
[latex]V=\\alpha V_A+\\beta V_B+\\gamma V_C[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n[latex]V_A[\/latex]\uff0c[latex]V_B[\/latex]\uff0c[latex]V_C[\/latex]\u53ef\u4ee5\u662f\u4f4d\u7f6e\uff0c\u7eb9\u7406\u5750\u6807\uff0c\u989c\u8272\uff0c\u6cd5\u7ebf\uff0c\u6df1\u5ea6\uff0c\u6750\u8d28\u5c5e\u6027\u2026<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u5728\u6295\u5f71\u53d8\u6362\u4e0b\uff0c\u91cd\u5fc3\u5750\u6807\u5e76\u4e0d\u80fd\u4fdd\u8bc1\u4e0d\u53d8\uff0c\u5373\u7a7a\u95f4\u4e2d\u7684\u4e09\u89d2\u5f62\u91cd\u5fc3\u5750\u6807\u548c\u6295\u5f71\u540e\u7684\u4e2d\u5fc3\u5750\u6807\u5f88\u53ef\u80fd\u4e0d\u76f8\u540c\u3002\u6240\u4ee5\u5728\u6c42\u6295\u5f71\u5750\u6807\u65f6\uff0c\u8981\u5728\u7a7a\u95f4\u4e2d\u6c42\uff0c\u800c\u4e0d\u80fd\u5728\u8fdb\u884c\u6295\u5f71\u53d8\u6362\u540e\u518d\u6c42<\/p>\n\n\n\n\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u5e94\u7528\u7eb9\u7406<\/h3>\n\n\n\n\u6839\u636e\u4e09\u89d2\u5f62\u9876\u70b9\u5750\u6807\u63d2\u503c\u51fa\u6bcf\u4e2a\u70b9\u7684\u7eb9\u7406\u5750\u6807\uff0c\u7136\u540e\u5728\u7eb9\u7406\u56fe\u4e0a\u627e\u5230\u5bf9\u5e94\u7684\u70b9\uff0c\u4e5f\u5c31\u90a3\u4e2a\u70b9\u7684\u6f2b\u53cd\u5c04\u7cfb\u6570\u3002<\/p>\n\n\n\n\u7eb9\u7406\u8fc7\u5c0f<\/h3>\n\n\n\n\u8fd1\u4f3c\u67e5\u8be2<\/h4>\n\n\n\n\u7eb9\u7406\u4e0a\u7684\u50cf\u7d20\u2014\u7eb9\u7406\u5143\u7d20<\/p>\n\n\n\n\u6c42\u51fa\u4e00\u70b9\u7684\u5bf9\u5e94\u7684\u7eb9\u7406\u5750\u6807\u540e\uff0c\u4f1a\u627e\u5230\u8ddd\u79bb\u6700\u8fd1\u7684\u7eb9\u7406\u5143\u7d20\u5e76\u7740\u8272\u3002<\/p>\n\n\n\n\u4f46\u662f\u5f53\u6a21\u578b\u7cbe\u5ea6\u5927\u4e8e\u7eb9\u7406\u7cbe\u5ea6\u65f6\uff0c\u4f1a\u53d1\u751f\u591a\u4e2a\u50cf\u7d20\u7684\u7eb9\u7406\u5143\u7d20\u76f8\u540c\u3002<\/p>\n\n\n\n\u5de6\uff1a\u6700\u8fd1\u7eb9\u7406\u5750\u6807\uff0c\u4e2d\uff1a\u53cc\u7ebf\u6027\u63d2\u503c\uff0c\u53f3\uff1a\u4e09\u7ebf\u6027\u63d2\u503c<\/figcaption><\/figure >\n\u5de6\uff1a\u6700\u8fd1\u7eb9\u7406\u5750\u6807\uff0c\u4e2d\uff1a\u53cc\u7ebf\u6027\u63d2\u503c\uff0c\u53f3\uff1a\u4e09\u7ebf\u6027\u63d2\u503c<\/figcaption><\/figure><\/noscript>\n\n\n\n\u627e\u6700\u8fd1\u7684\u7eb9\u7406\u5143\u7d20\u65f6\uff0c\u7ea2\u8272\u7684\u70b9\u4f1a\u627e\u5230\u7eb9\u7406\u6837\u672cu11<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53cc\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5728\u53cc\u7ebf\u6027\u63d2\u503c\u65f6\uff0c\u4f1a\u627e\u5230\u7ea2\u70b9\u5468\u56f4\u7684\u56db\u4e2a\u7eb9\u7406\u6837\u672c\u3002\u53ef\u4ee5\u627e\u5230\u7ea2\u70b9\u8ddd\u79bb\u5de6\u4e0b\u89d2\u7684\u6c34\u5e73\u8ddd\u79bb[latex]s[\/latex]\u548c\u7ad6\u76f4\u8ddd\u79bb[latex]t[\/latex]\u3002\uff08\u8ba4\u4e3a\u6bcf\u4e24\u4e2a\u7eb9\u7406\u5143\u7d20\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e3a1\uff09<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7ebf\u6027\u63d2\u503c\uff1a[latex]lerp(x,v_0 ,v_1 )=v_0 +x(v_1 -v_0 )[\/latex]<\/p>\n\n\n\n\u5b9a\u4e49\u4e00\u4e2a[latex]x[\/latex]\uff0c\u5728[latex]v_0[\/latex]\u5230[latex]v_1[\/latex]\u4e4b\u95f4<\/p>\n\n\n\n\u5148\u7528[latex]s[\/latex]\u5728\u5de6\u4e0b\u89d2\u548c\u53f3\u4e0b\u89d2\u8fdb\u884c\u7ebf\u6027\u63d2\u503c\u5f97\u5230[latex]u_0[\/latex]\uff0c\u518d\u5728\u5de6\u4e0a\u89d2\u548c\u53f3\u4e0a\u89d2\u8fdb\u884c\u7ebf\u6027\u63d2\u503c[latex]u_1[\/latex]\u518d\u7528[latex]t[\/latex]\u5728[latex]u_0[\/latex]\u548c[latex]u_1[\/latex]\u4e4b\u95f4\u8fdb\u884c\u63d2\u503c\uff0c\u5f97\u5230\u7ea2\u70b9\u5904\u7684\u7eb9\u7406\u503c\u3002 <\/p>\n\n\n\n\u53cc\u4e09\u6b21\u63d2\u503c<\/h4>\n\n\n\n\u53cc\u4e09\u6b21\u63d2\u503c\uff08Bicubic\uff09\uff1a\u91c7\u7528\u5468\u56f416\u4e2a\u50cf\u7d20\u8fdb\u884c\u53cc\u4e09\u6b21\u63d2\u503c\uff0c\u5f97\u5230\u7684\u8d28\u91cf\u66f4\u597d\u3002<\/p>\n\n\n\n\u7eb9\u7406\u8fc7\u5927<\/h3>\n\n\n\n\u5f53\u7eb9\u7406\u8fc7\u5927\u65f6\uff0c\u8fdc\u5904\u7684\u50cf\u7d20\u70b9\u4f1a\u53d1\u751f\u4e00\u4e2a\u50cf\u7d20\u70b9\u4ee3\u8868\u4e86\u4e00\u5927\u7247\u7684\u7eb9\u7406\u5143\u7d20<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u65f6\u5c31\u4f1a\u51fa\u73b0\u6469\u5c14\u7eb9<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4ece\u4fe1\u53f7\u7684\u89d2\u5ea6\u6765\u8bf4\uff0c\u5c31\u662f\u91c7\u6837\u9891\u7387\u4f4e\u4e8e\u4fe1\u53f7\u7684\u53d8\u5316\u9891\u7387\u4ea7\u751f\u4e86\u7578\u53d8\u3002<\/p>\n\n\n\n\u5229\u7528\u8d85\u91c7\u6837\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u662f\u5176\u5f00\u9500\u4f1a\u975e\u5e38\u5927\u3002<\/p>\n\n\n\n\u6240\u4ee5\u73b0\u5728\u60f3\u8981\u4e0d\u91c7\u6837\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\nMipmap<\/h4>\n\n\n\nMipmap\u53ef\u4ee5\u505a\u5230\u5728\u4e0d\u91c7\u6837\u7684\u60c5\u51b5\u4e0b\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002\u5b83\u53ef\u4ee5\u505a\u5230\u5feb\u901f\u3001\u8fd1\u4f3c\u7684\u6b63\u65b9\u5f62\u8303\u56f4\u5e73\u5747\u50cf\u7d20\u67e5\u8be2\u3002\u4f46\u6ce8\u610f\uff0c\u5f97\u5230\u7684\u7ed3\u679c\u53ea\u662f\u8fd1\u4f3c\u503c\uff0c\u5e76\u4e14\u53ea\u80fd\u67e5\u8be2\u6b63\u65b9\u5f62\u8303\u56f4\u3002<\/p>\n\n\n\n\u5047\u8bbe\u6709\u4e00\u5f20\u5206\u8fa8\u7387\u4e3a128*128\u7684\u7eb9\u7406\u56fe\uff0c\u5c06\u539f\u56fe\u79f0\u4e3aLevel 0\u3002<\/p>\n\n\n\n\u5c06\u539f\u56fe\u7684\u957f\u5bbd\u90fd\u538b\u7f29\u4e00\u534a\uff0c\u79f0\u4e3aLevel 1\uff0c\u4e0d\u65ad\u538b\u7f29\u957f\u5bbd\uff0c\u76f4\u5230\u56fe\u7247\u53d8\u62101*1\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\nMipmap\u5360\u7528\u7684\u7a7a\u95f4\u662f\u539f\u56fe\u7684[latex]\\frac{4}{3}[\/latex]\uff0c\u5373\u7a7a\u95f4\u5f00\u9500\u589e\u52a0\u4e86[latex]\\frac{1}{3}[\/latex]\u3002\u5176\u5b9e\u5c31\u5bf9\u5e73\u5747\u50cf\u7d20\u8fdb\u884c\u9884\u5904\u7406\uff0c\u63d0\u524d\u5f97\u5230\u5404\u5c42\u6b21\u7684\u5e73\u5747\u50cf\u7d20\uff0c\u4e5f\u5c31\u662f\u7528\u7a7a\u95f4\u6362\u65f6\u95f4\u3002<\/p>\n\n\n\n\u56fe\u50cf\u91d1\u5b57\u5854\u4e5f\u5c31\u662f\u6307Mipmap\uff0cMipmap\u7684\u6bcf\u4e00\u4e2a\u7b49\u7ea7\u4e5f\u88ab\u79f0\u4e3a\u201c\u5c42\u201d\uff08D\uff09\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8ba1\u7b97Mipmap\u7b49\u7ea7<\/h4>\n\n\n\n\u8981\u8ba1\u7b97\u4e00\u4e2a\u50cf\u7d20\u7684Mipmap\u7b49\u7ea7\uff0c\u53ef\u4ee5\u5148\u627e\u51fa\u8be5\u50cf\u7d20\u4ee5\u53ca\u5176\u4e0a\u65b9\u3001\u53f3\u65b9\u4e24\u4e2a\u50cf\u7d20\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u5750\u6807\uff0c\u7136\u540e\u518d\u6839\u636e\u8fd9\u4e09\u4e2a\u70b9\u7684\u5750\u6807\u6c42\u51fa\u91c7\u6837\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u3002<\/p>\n\n\n\n[latex]L=\\max \\left(\\sqrt{\\left(\\frac{d u}{d x}\\right)^2+\\left(\\frac{d v}{d x}\\right)^2}, \\sqrt{\\left(\\frac{d u}{d y}\\right)^2+\\left(\\frac{d v}{d y}\\right)^2}\\right)[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u518d\u6839\u636e\u8fb9\u957fL\u5c31\u80fd\u6c42\u51fa\u7b49\u7ea7\u4e86[latex]D=\\log _2 L[\/latex]<\/p>\n\n\n\n\u4e09\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5c06Mipmap\u7b49\u7ea7\u53ef\u89c6\u5316\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53ef\u4ee5\u53d1\u73b0\uff0c\u5176\u7b49\u7ea7\u53d8\u5316\u975e\u5e38\u7684\u4e0d\u5e73\u6ed1\u3002\u5176\u539f\u56e0\u5c31\u662f\u8ba1\u7b97Mipmap\u65f6\uff0c\u53ea\u5bf9\u79bb\u6563\u7684\u7b49\u7ea7\u8fdb\u884c\u4e86\u91c7\u6837\u3002<\/p>\n\n\n\n\u53ef\u4ee5\u5229\u7528\u4e09\u7ebf\u6027\u63d2\u503c\u7684\u65b9\u6cd5\u6c42\u51fa\u8fde\u7eed\u7b49\u7ea7\u7684Mipmap\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5148\u7528\u53cc\u7ebf\u6027\u63d2\u503c\u5f97\u5230\u91c7\u6837\u70b9\u539f\u672c\u6240\u5728\u7684\u7b49\u7ea7D\u7684\u7eb9\u7406\u503c\uff0c\u518d\u53d6\u51fa\u91c7\u6837\u70b9\u9ad8\u4e00\u4e2a\u7b49\u7ea7D+1\u5c42\u7684\u7eb9\u7406\u503c\uff0c\u518d\u5c06\u4e24\u4e2a\u503c\u518d\u8fdb\u884c\u63d2\u503c\u3002<\/p>\n\n\n\n\u8fd9\u6837\u5f97\u5230\u7684Mipmap\u7b49\u7ea7\u5c31\u975e\u5e38\u5e73\u6ed1<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4<\/h4>\n\n\n\n\u4f46\u5982\u679c\u91c7\u7528Mipmap\u6765\u89e3\u51b3\u4e0a\u9762\u7684\u6469\u5c14\u7eb9\u95ee\u9898\uff0c\u4ea7\u751f\u7684\u56fe\u50cf\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fdc\u5904\u7684\u7ec6\u8282\u5b8c\u5168\u6d88\u5931\u4e86\u3002<\/p>\n\n\n\n\u5176\u539f\u56e0\u5c31\u662f\uff0c \u6bcf\u4e2a\u50cf\u7d20\u70b9\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u8303\u56f4\u5e76\u4e0d\u4e00\u5b9a\u662f\u6b63\u65b9\u5f62\u7684\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp 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[latex]V_A[\/latex]\uff0c[latex]V_B[\/latex]\uff0c[latex]V_C[\/latex]\u53ef\u4ee5\u662f\u4f4d\u7f6e\uff0c\u7eb9\u7406\u5750\u6807\uff0c\u989c\u8272\uff0c\u6cd5\u7ebf\uff0c\u6df1\u5ea6\uff0c\u6750\u8d28\u5c5e\u6027\u2026<\/p>\n\n\n\n
\u6ce8\u610f\uff0c\u5728\u6295\u5f71\u53d8\u6362\u4e0b\uff0c\u91cd\u5fc3\u5750\u6807\u5e76\u4e0d\u80fd\u4fdd\u8bc1\u4e0d\u53d8\uff0c\u5373\u7a7a\u95f4\u4e2d\u7684\u4e09\u89d2\u5f62\u91cd\u5fc3\u5750\u6807\u548c\u6295\u5f71\u540e\u7684\u4e2d\u5fc3\u5750\u6807\u5f88\u53ef\u80fd\u4e0d\u76f8\u540c\u3002\u6240\u4ee5\u5728\u6c42\u6295\u5f71\u5750\u6807\u65f6\uff0c\u8981\u5728\u7a7a\u95f4\u4e2d\u6c42\uff0c\u800c\u4e0d\u80fd\u5728\u8fdb\u884c\u6295\u5f71\u53d8\u6362\u540e\u518d\u6c42<\/p>\n\n\n\n
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\u7eb9\u7406\u4e0a\u7684\u50cf\u7d20\u2014\u7eb9\u7406\u5143\u7d20<\/p>\n\n\n\n
\u6c42\u51fa\u4e00\u70b9\u7684\u5bf9\u5e94\u7684\u7eb9\u7406\u5750\u6807\u540e\uff0c\u4f1a\u627e\u5230\u8ddd\u79bb\u6700\u8fd1\u7684\u7eb9\u7406\u5143\u7d20\u5e76\u7740\u8272\u3002<\/p>\n\n\n\n
\u4f46\u662f\u5f53\u6a21\u578b\u7cbe\u5ea6\u5927\u4e8e\u7eb9\u7406\u7cbe\u5ea6\u65f6\uff0c\u4f1a\u53d1\u751f\u591a\u4e2a\u50cf\u7d20\u7684\u7eb9\u7406\u5143\u7d20\u76f8\u540c\u3002<\/p>\n\n\n\n\u5de6\uff1a\u6700\u8fd1\u7eb9\u7406\u5750\u6807\uff0c\u4e2d\uff1a\u53cc\u7ebf\u6027\u63d2\u503c\uff0c\u53f3\uff1a\u4e09\u7ebf\u6027\u63d2\u503c<\/figcaption><\/figure >\n\u5de6\uff1a\u6700\u8fd1\u7eb9\u7406\u5750\u6807\uff0c\u4e2d\uff1a\u53cc\u7ebf\u6027\u63d2\u503c\uff0c\u53f3\uff1a\u4e09\u7ebf\u6027\u63d2\u503c<\/figcaption><\/figure><\/noscript>\n\n\n\n\u627e\u6700\u8fd1\u7684\u7eb9\u7406\u5143\u7d20\u65f6\uff0c\u7ea2\u8272\u7684\u70b9\u4f1a\u627e\u5230\u7eb9\u7406\u6837\u672cu11<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53cc\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5728\u53cc\u7ebf\u6027\u63d2\u503c\u65f6\uff0c\u4f1a\u627e\u5230\u7ea2\u70b9\u5468\u56f4\u7684\u56db\u4e2a\u7eb9\u7406\u6837\u672c\u3002\u53ef\u4ee5\u627e\u5230\u7ea2\u70b9\u8ddd\u79bb\u5de6\u4e0b\u89d2\u7684\u6c34\u5e73\u8ddd\u79bb[latex]s[\/latex]\u548c\u7ad6\u76f4\u8ddd\u79bb[latex]t[\/latex]\u3002\uff08\u8ba4\u4e3a\u6bcf\u4e24\u4e2a\u7eb9\u7406\u5143\u7d20\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e3a1\uff09<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7ebf\u6027\u63d2\u503c\uff1a[latex]lerp(x,v_0 ,v_1 )=v_0 +x(v_1 -v_0 )[\/latex]<\/p>\n\n\n\n\u5b9a\u4e49\u4e00\u4e2a[latex]x[\/latex]\uff0c\u5728[latex]v_0[\/latex]\u5230[latex]v_1[\/latex]\u4e4b\u95f4<\/p>\n\n\n\n\u5148\u7528[latex]s[\/latex]\u5728\u5de6\u4e0b\u89d2\u548c\u53f3\u4e0b\u89d2\u8fdb\u884c\u7ebf\u6027\u63d2\u503c\u5f97\u5230[latex]u_0[\/latex]\uff0c\u518d\u5728\u5de6\u4e0a\u89d2\u548c\u53f3\u4e0a\u89d2\u8fdb\u884c\u7ebf\u6027\u63d2\u503c[latex]u_1[\/latex]\u518d\u7528[latex]t[\/latex]\u5728[latex]u_0[\/latex]\u548c[latex]u_1[\/latex]\u4e4b\u95f4\u8fdb\u884c\u63d2\u503c\uff0c\u5f97\u5230\u7ea2\u70b9\u5904\u7684\u7eb9\u7406\u503c\u3002 <\/p>\n\n\n\n\u53cc\u4e09\u6b21\u63d2\u503c<\/h4>\n\n\n\n\u53cc\u4e09\u6b21\u63d2\u503c\uff08Bicubic\uff09\uff1a\u91c7\u7528\u5468\u56f416\u4e2a\u50cf\u7d20\u8fdb\u884c\u53cc\u4e09\u6b21\u63d2\u503c\uff0c\u5f97\u5230\u7684\u8d28\u91cf\u66f4\u597d\u3002<\/p>\n\n\n\n\u7eb9\u7406\u8fc7\u5927<\/h3>\n\n\n\n\u5f53\u7eb9\u7406\u8fc7\u5927\u65f6\uff0c\u8fdc\u5904\u7684\u50cf\u7d20\u70b9\u4f1a\u53d1\u751f\u4e00\u4e2a\u50cf\u7d20\u70b9\u4ee3\u8868\u4e86\u4e00\u5927\u7247\u7684\u7eb9\u7406\u5143\u7d20<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u65f6\u5c31\u4f1a\u51fa\u73b0\u6469\u5c14\u7eb9<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4ece\u4fe1\u53f7\u7684\u89d2\u5ea6\u6765\u8bf4\uff0c\u5c31\u662f\u91c7\u6837\u9891\u7387\u4f4e\u4e8e\u4fe1\u53f7\u7684\u53d8\u5316\u9891\u7387\u4ea7\u751f\u4e86\u7578\u53d8\u3002<\/p>\n\n\n\n\u5229\u7528\u8d85\u91c7\u6837\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u662f\u5176\u5f00\u9500\u4f1a\u975e\u5e38\u5927\u3002<\/p>\n\n\n\n\u6240\u4ee5\u73b0\u5728\u60f3\u8981\u4e0d\u91c7\u6837\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\nMipmap<\/h4>\n\n\n\nMipmap\u53ef\u4ee5\u505a\u5230\u5728\u4e0d\u91c7\u6837\u7684\u60c5\u51b5\u4e0b\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002\u5b83\u53ef\u4ee5\u505a\u5230\u5feb\u901f\u3001\u8fd1\u4f3c\u7684\u6b63\u65b9\u5f62\u8303\u56f4\u5e73\u5747\u50cf\u7d20\u67e5\u8be2\u3002\u4f46\u6ce8\u610f\uff0c\u5f97\u5230\u7684\u7ed3\u679c\u53ea\u662f\u8fd1\u4f3c\u503c\uff0c\u5e76\u4e14\u53ea\u80fd\u67e5\u8be2\u6b63\u65b9\u5f62\u8303\u56f4\u3002<\/p>\n\n\n\n\u5047\u8bbe\u6709\u4e00\u5f20\u5206\u8fa8\u7387\u4e3a128*128\u7684\u7eb9\u7406\u56fe\uff0c\u5c06\u539f\u56fe\u79f0\u4e3aLevel 0\u3002<\/p>\n\n\n\n\u5c06\u539f\u56fe\u7684\u957f\u5bbd\u90fd\u538b\u7f29\u4e00\u534a\uff0c\u79f0\u4e3aLevel 1\uff0c\u4e0d\u65ad\u538b\u7f29\u957f\u5bbd\uff0c\u76f4\u5230\u56fe\u7247\u53d8\u62101*1\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\nMipmap\u5360\u7528\u7684\u7a7a\u95f4\u662f\u539f\u56fe\u7684[latex]\\frac{4}{3}[\/latex]\uff0c\u5373\u7a7a\u95f4\u5f00\u9500\u589e\u52a0\u4e86[latex]\\frac{1}{3}[\/latex]\u3002\u5176\u5b9e\u5c31\u5bf9\u5e73\u5747\u50cf\u7d20\u8fdb\u884c\u9884\u5904\u7406\uff0c\u63d0\u524d\u5f97\u5230\u5404\u5c42\u6b21\u7684\u5e73\u5747\u50cf\u7d20\uff0c\u4e5f\u5c31\u662f\u7528\u7a7a\u95f4\u6362\u65f6\u95f4\u3002<\/p>\n\n\n\n\u56fe\u50cf\u91d1\u5b57\u5854\u4e5f\u5c31\u662f\u6307Mipmap\uff0cMipmap\u7684\u6bcf\u4e00\u4e2a\u7b49\u7ea7\u4e5f\u88ab\u79f0\u4e3a\u201c\u5c42\u201d\uff08D\uff09\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8ba1\u7b97Mipmap\u7b49\u7ea7<\/h4>\n\n\n\n\u8981\u8ba1\u7b97\u4e00\u4e2a\u50cf\u7d20\u7684Mipmap\u7b49\u7ea7\uff0c\u53ef\u4ee5\u5148\u627e\u51fa\u8be5\u50cf\u7d20\u4ee5\u53ca\u5176\u4e0a\u65b9\u3001\u53f3\u65b9\u4e24\u4e2a\u50cf\u7d20\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u5750\u6807\uff0c\u7136\u540e\u518d\u6839\u636e\u8fd9\u4e09\u4e2a\u70b9\u7684\u5750\u6807\u6c42\u51fa\u91c7\u6837\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u3002<\/p>\n\n\n\n[latex]L=\\max \\left(\\sqrt{\\left(\\frac{d u}{d x}\\right)^2+\\left(\\frac{d v}{d x}\\right)^2}, \\sqrt{\\left(\\frac{d u}{d y}\\right)^2+\\left(\\frac{d v}{d y}\\right)^2}\\right)[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u518d\u6839\u636e\u8fb9\u957fL\u5c31\u80fd\u6c42\u51fa\u7b49\u7ea7\u4e86[latex]D=\\log _2 L[\/latex]<\/p>\n\n\n\n\u4e09\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5c06Mipmap\u7b49\u7ea7\u53ef\u89c6\u5316\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53ef\u4ee5\u53d1\u73b0\uff0c\u5176\u7b49\u7ea7\u53d8\u5316\u975e\u5e38\u7684\u4e0d\u5e73\u6ed1\u3002\u5176\u539f\u56e0\u5c31\u662f\u8ba1\u7b97Mipmap\u65f6\uff0c\u53ea\u5bf9\u79bb\u6563\u7684\u7b49\u7ea7\u8fdb\u884c\u4e86\u91c7\u6837\u3002<\/p>\n\n\n\n\u53ef\u4ee5\u5229\u7528\u4e09\u7ebf\u6027\u63d2\u503c\u7684\u65b9\u6cd5\u6c42\u51fa\u8fde\u7eed\u7b49\u7ea7\u7684Mipmap\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5148\u7528\u53cc\u7ebf\u6027\u63d2\u503c\u5f97\u5230\u91c7\u6837\u70b9\u539f\u672c\u6240\u5728\u7684\u7b49\u7ea7D\u7684\u7eb9\u7406\u503c\uff0c\u518d\u53d6\u51fa\u91c7\u6837\u70b9\u9ad8\u4e00\u4e2a\u7b49\u7ea7D+1\u5c42\u7684\u7eb9\u7406\u503c\uff0c\u518d\u5c06\u4e24\u4e2a\u503c\u518d\u8fdb\u884c\u63d2\u503c\u3002<\/p>\n\n\n\n\u8fd9\u6837\u5f97\u5230\u7684Mipmap\u7b49\u7ea7\u5c31\u975e\u5e38\u5e73\u6ed1<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4<\/h4>\n\n\n\n\u4f46\u5982\u679c\u91c7\u7528Mipmap\u6765\u89e3\u51b3\u4e0a\u9762\u7684\u6469\u5c14\u7eb9\u95ee\u9898\uff0c\u4ea7\u751f\u7684\u56fe\u50cf\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fdc\u5904\u7684\u7ec6\u8282\u5b8c\u5168\u6d88\u5931\u4e86\u3002<\/p>\n\n\n\n\u5176\u539f\u56e0\u5c31\u662f\uff0c 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>\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp 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)[\/latex]<\/p>\n\n\n\n\u5b9a\u4e49\u4e00\u4e2a[latex]x[\/latex]\uff0c\u5728[latex]v_0[\/latex]\u5230[latex]v_1[\/latex]\u4e4b\u95f4<\/p>\n\n\n\n\u5148\u7528[latex]s[\/latex]\u5728\u5de6\u4e0b\u89d2\u548c\u53f3\u4e0b\u89d2\u8fdb\u884c\u7ebf\u6027\u63d2\u503c\u5f97\u5230[latex]u_0[\/latex]\uff0c\u518d\u5728\u5de6\u4e0a\u89d2\u548c\u53f3\u4e0a\u89d2\u8fdb\u884c\u7ebf\u6027\u63d2\u503c[latex]u_1[\/latex]\u518d\u7528[latex]t[\/latex]\u5728[latex]u_0[\/latex]\u548c[latex]u_1[\/latex]\u4e4b\u95f4\u8fdb\u884c\u63d2\u503c\uff0c\u5f97\u5230\u7ea2\u70b9\u5904\u7684\u7eb9\u7406\u503c\u3002 <\/p>\n\n\n\n\u53cc\u4e09\u6b21\u63d2\u503c<\/h4>\n\n\n\n\u53cc\u4e09\u6b21\u63d2\u503c\uff08Bicubic\uff09\uff1a\u91c7\u7528\u5468\u56f416\u4e2a\u50cf\u7d20\u8fdb\u884c\u53cc\u4e09\u6b21\u63d2\u503c\uff0c\u5f97\u5230\u7684\u8d28\u91cf\u66f4\u597d\u3002<\/p>\n\n\n\n\u7eb9\u7406\u8fc7\u5927<\/h3>\n\n\n\n\u5f53\u7eb9\u7406\u8fc7\u5927\u65f6\uff0c\u8fdc\u5904\u7684\u50cf\u7d20\u70b9\u4f1a\u53d1\u751f\u4e00\u4e2a\u50cf\u7d20\u70b9\u4ee3\u8868\u4e86\u4e00\u5927\u7247\u7684\u7eb9\u7406\u5143\u7d20<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u65f6\u5c31\u4f1a\u51fa\u73b0\u6469\u5c14\u7eb9<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4ece\u4fe1\u53f7\u7684\u89d2\u5ea6\u6765\u8bf4\uff0c\u5c31\u662f\u91c7\u6837\u9891\u7387\u4f4e\u4e8e\u4fe1\u53f7\u7684\u53d8\u5316\u9891\u7387\u4ea7\u751f\u4e86\u7578\u53d8\u3002<\/p>\n\n\n\n\u5229\u7528\u8d85\u91c7\u6837\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u662f\u5176\u5f00\u9500\u4f1a\u975e\u5e38\u5927\u3002<\/p>\n\n\n\n\u6240\u4ee5\u73b0\u5728\u60f3\u8981\u4e0d\u91c7\u6837\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\nMipmap<\/h4>\n\n\n\nMipmap\u53ef\u4ee5\u505a\u5230\u5728\u4e0d\u91c7\u6837\u7684\u60c5\u51b5\u4e0b\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002\u5b83\u53ef\u4ee5\u505a\u5230\u5feb\u901f\u3001\u8fd1\u4f3c\u7684\u6b63\u65b9\u5f62\u8303\u56f4\u5e73\u5747\u50cf\u7d20\u67e5\u8be2\u3002\u4f46\u6ce8\u610f\uff0c\u5f97\u5230\u7684\u7ed3\u679c\u53ea\u662f\u8fd1\u4f3c\u503c\uff0c\u5e76\u4e14\u53ea\u80fd\u67e5\u8be2\u6b63\u65b9\u5f62\u8303\u56f4\u3002<\/p>\n\n\n\n\u5047\u8bbe\u6709\u4e00\u5f20\u5206\u8fa8\u7387\u4e3a128*128\u7684\u7eb9\u7406\u56fe\uff0c\u5c06\u539f\u56fe\u79f0\u4e3aLevel 0\u3002<\/p>\n\n\n\n\u5c06\u539f\u56fe\u7684\u957f\u5bbd\u90fd\u538b\u7f29\u4e00\u534a\uff0c\u79f0\u4e3aLevel 1\uff0c\u4e0d\u65ad\u538b\u7f29\u957f\u5bbd\uff0c\u76f4\u5230\u56fe\u7247\u53d8\u62101*1\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\nMipmap\u5360\u7528\u7684\u7a7a\u95f4\u662f\u539f\u56fe\u7684[latex]\\frac{4}{3}[\/latex]\uff0c\u5373\u7a7a\u95f4\u5f00\u9500\u589e\u52a0\u4e86[latex]\\frac{1}{3}[\/latex]\u3002\u5176\u5b9e\u5c31\u5bf9\u5e73\u5747\u50cf\u7d20\u8fdb\u884c\u9884\u5904\u7406\uff0c\u63d0\u524d\u5f97\u5230\u5404\u5c42\u6b21\u7684\u5e73\u5747\u50cf\u7d20\uff0c\u4e5f\u5c31\u662f\u7528\u7a7a\u95f4\u6362\u65f6\u95f4\u3002<\/p>\n\n\n\n\u56fe\u50cf\u91d1\u5b57\u5854\u4e5f\u5c31\u662f\u6307Mipmap\uff0cMipmap\u7684\u6bcf\u4e00\u4e2a\u7b49\u7ea7\u4e5f\u88ab\u79f0\u4e3a\u201c\u5c42\u201d\uff08D\uff09\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8ba1\u7b97Mipmap\u7b49\u7ea7<\/h4>\n\n\n\n\u8981\u8ba1\u7b97\u4e00\u4e2a\u50cf\u7d20\u7684Mipmap\u7b49\u7ea7\uff0c\u53ef\u4ee5\u5148\u627e\u51fa\u8be5\u50cf\u7d20\u4ee5\u53ca\u5176\u4e0a\u65b9\u3001\u53f3\u65b9\u4e24\u4e2a\u50cf\u7d20\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u5750\u6807\uff0c\u7136\u540e\u518d\u6839\u636e\u8fd9\u4e09\u4e2a\u70b9\u7684\u5750\u6807\u6c42\u51fa\u91c7\u6837\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u3002<\/p>\n\n\n\n[latex]L=\\max \\left(\\sqrt{\\left(\\frac{d u}{d x}\\right)^2+\\left(\\frac{d v}{d x}\\right)^2}, \\sqrt{\\left(\\frac{d u}{d y}\\right)^2+\\left(\\frac{d v}{d y}\\right)^2}\\right)[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u518d\u6839\u636e\u8fb9\u957fL\u5c31\u80fd\u6c42\u51fa\u7b49\u7ea7\u4e86[latex]D=\\log _2 L[\/latex]<\/p>\n\n\n\n\u4e09\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5c06Mipmap\u7b49\u7ea7\u53ef\u89c6\u5316\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53ef\u4ee5\u53d1\u73b0\uff0c\u5176\u7b49\u7ea7\u53d8\u5316\u975e\u5e38\u7684\u4e0d\u5e73\u6ed1\u3002\u5176\u539f\u56e0\u5c31\u662f\u8ba1\u7b97Mipmap\u65f6\uff0c\u53ea\u5bf9\u79bb\u6563\u7684\u7b49\u7ea7\u8fdb\u884c\u4e86\u91c7\u6837\u3002<\/p>\n\n\n\n\u53ef\u4ee5\u5229\u7528\u4e09\u7ebf\u6027\u63d2\u503c\u7684\u65b9\u6cd5\u6c42\u51fa\u8fde\u7eed\u7b49\u7ea7\u7684Mipmap\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5148\u7528\u53cc\u7ebf\u6027\u63d2\u503c\u5f97\u5230\u91c7\u6837\u70b9\u539f\u672c\u6240\u5728\u7684\u7b49\u7ea7D\u7684\u7eb9\u7406\u503c\uff0c\u518d\u53d6\u51fa\u91c7\u6837\u70b9\u9ad8\u4e00\u4e2a\u7b49\u7ea7D+1\u5c42\u7684\u7eb9\u7406\u503c\uff0c\u518d\u5c06\u4e24\u4e2a\u503c\u518d\u8fdb\u884c\u63d2\u503c\u3002<\/p>\n\n\n\n\u8fd9\u6837\u5f97\u5230\u7684Mipmap\u7b49\u7ea7\u5c31\u975e\u5e38\u5e73\u6ed1<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4<\/h4>\n\n\n\n\u4f46\u5982\u679c\u91c7\u7528Mipmap\u6765\u89e3\u51b3\u4e0a\u9762\u7684\u6469\u5c14\u7eb9\u95ee\u9898\uff0c\u4ea7\u751f\u7684\u56fe\u50cf\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fdc\u5904\u7684\u7ec6\u8282\u5b8c\u5168\u6d88\u5931\u4e86\u3002<\/p>\n\n\n\n\u5176\u539f\u56e0\u5c31\u662f\uff0c \u6bcf\u4e2a\u50cf\u7d20\u70b9\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u8303\u56f4\u5e76\u4e0d\u4e00\u5b9a\u662f\u6b63\u65b9\u5f62\u7684\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp 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>\n<\/figure><\/noscript>\n\n\n\n\u8ba1\u7b97Mipmap\u7b49\u7ea7<\/h4>\n\n\n\n\u8981\u8ba1\u7b97\u4e00\u4e2a\u50cf\u7d20\u7684Mipmap\u7b49\u7ea7\uff0c\u53ef\u4ee5\u5148\u627e\u51fa\u8be5\u50cf\u7d20\u4ee5\u53ca\u5176\u4e0a\u65b9\u3001\u53f3\u65b9\u4e24\u4e2a\u50cf\u7d20\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u5750\u6807\uff0c\u7136\u540e\u518d\u6839\u636e\u8fd9\u4e09\u4e2a\u70b9\u7684\u5750\u6807\u6c42\u51fa\u91c7\u6837\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u3002<\/p>\n\n\n\n[latex]L=\\max \\left(\\sqrt{\\left(\\frac{d u}{d x}\\right)^2+\\left(\\frac{d v}{d x}\\right)^2}, \\sqrt{\\left(\\frac{d u}{d y}\\right)^2+\\left(\\frac{d v}{d y}\\right)^2}\\right)[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u518d\u6839\u636e\u8fb9\u957fL\u5c31\u80fd\u6c42\u51fa\u7b49\u7ea7\u4e86[latex]D=\\log _2 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>\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp 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\u7ebf\u6027\u63d2\u503c\uff1a[latex]lerp(x,v_0 ,v_1 )=v_0 +x(v_1 -v_0 )[\/latex]<\/p>\n\n\n\n
\u5b9a\u4e49\u4e00\u4e2a[latex]x[\/latex]\uff0c\u5728[latex]v_0[\/latex]\u5230[latex]v_1[\/latex]\u4e4b\u95f4<\/p>\n\n\n\n
\u5148\u7528[latex]s[\/latex]\u5728\u5de6\u4e0b\u89d2\u548c\u53f3\u4e0b\u89d2\u8fdb\u884c\u7ebf\u6027\u63d2\u503c\u5f97\u5230[latex]u_0[\/latex]\uff0c\u518d\u5728\u5de6\u4e0a\u89d2\u548c\u53f3\u4e0a\u89d2\u8fdb\u884c\u7ebf\u6027\u63d2\u503c[latex]u_1[\/latex]\u518d\u7528[latex]t[\/latex]\u5728[latex]u_0[\/latex]\u548c[latex]u_1[\/latex]\u4e4b\u95f4\u8fdb\u884c\u63d2\u503c\uff0c\u5f97\u5230\u7ea2\u70b9\u5904\u7684\u7eb9\u7406\u503c\u3002 <\/p>\n\n\n\n
\u53cc\u4e09\u6b21\u63d2\u503c\uff08Bicubic\uff09\uff1a\u91c7\u7528\u5468\u56f416\u4e2a\u50cf\u7d20\u8fdb\u884c\u53cc\u4e09\u6b21\u63d2\u503c\uff0c\u5f97\u5230\u7684\u8d28\u91cf\u66f4\u597d\u3002<\/p>\n\n\n\n
\u5f53\u7eb9\u7406\u8fc7\u5927\u65f6\uff0c\u8fdc\u5904\u7684\u50cf\u7d20\u70b9\u4f1a\u53d1\u751f\u4e00\u4e2a\u50cf\u7d20\u70b9\u4ee3\u8868\u4e86\u4e00\u5927\u7247\u7684\u7eb9\u7406\u5143\u7d20<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u65f6\u5c31\u4f1a\u51fa\u73b0\u6469\u5c14\u7eb9<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4ece\u4fe1\u53f7\u7684\u89d2\u5ea6\u6765\u8bf4\uff0c\u5c31\u662f\u91c7\u6837\u9891\u7387\u4f4e\u4e8e\u4fe1\u53f7\u7684\u53d8\u5316\u9891\u7387\u4ea7\u751f\u4e86\u7578\u53d8\u3002<\/p>\n\n\n\n\u5229\u7528\u8d85\u91c7\u6837\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u662f\u5176\u5f00\u9500\u4f1a\u975e\u5e38\u5927\u3002<\/p>\n\n\n\n\u6240\u4ee5\u73b0\u5728\u60f3\u8981\u4e0d\u91c7\u6837\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\nMipmap<\/h4>\n\n\n\nMipmap\u53ef\u4ee5\u505a\u5230\u5728\u4e0d\u91c7\u6837\u7684\u60c5\u51b5\u4e0b\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002\u5b83\u53ef\u4ee5\u505a\u5230\u5feb\u901f\u3001\u8fd1\u4f3c\u7684\u6b63\u65b9\u5f62\u8303\u56f4\u5e73\u5747\u50cf\u7d20\u67e5\u8be2\u3002\u4f46\u6ce8\u610f\uff0c\u5f97\u5230\u7684\u7ed3\u679c\u53ea\u662f\u8fd1\u4f3c\u503c\uff0c\u5e76\u4e14\u53ea\u80fd\u67e5\u8be2\u6b63\u65b9\u5f62\u8303\u56f4\u3002<\/p>\n\n\n\n\u5047\u8bbe\u6709\u4e00\u5f20\u5206\u8fa8\u7387\u4e3a128*128\u7684\u7eb9\u7406\u56fe\uff0c\u5c06\u539f\u56fe\u79f0\u4e3aLevel 0\u3002<\/p>\n\n\n\n\u5c06\u539f\u56fe\u7684\u957f\u5bbd\u90fd\u538b\u7f29\u4e00\u534a\uff0c\u79f0\u4e3aLevel 1\uff0c\u4e0d\u65ad\u538b\u7f29\u957f\u5bbd\uff0c\u76f4\u5230\u56fe\u7247\u53d8\u62101*1\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\nMipmap\u5360\u7528\u7684\u7a7a\u95f4\u662f\u539f\u56fe\u7684[latex]\\frac{4}{3}[\/latex]\uff0c\u5373\u7a7a\u95f4\u5f00\u9500\u589e\u52a0\u4e86[latex]\\frac{1}{3}[\/latex]\u3002\u5176\u5b9e\u5c31\u5bf9\u5e73\u5747\u50cf\u7d20\u8fdb\u884c\u9884\u5904\u7406\uff0c\u63d0\u524d\u5f97\u5230\u5404\u5c42\u6b21\u7684\u5e73\u5747\u50cf\u7d20\uff0c\u4e5f\u5c31\u662f\u7528\u7a7a\u95f4\u6362\u65f6\u95f4\u3002<\/p>\n\n\n\n\u56fe\u50cf\u91d1\u5b57\u5854\u4e5f\u5c31\u662f\u6307Mipmap\uff0cMipmap\u7684\u6bcf\u4e00\u4e2a\u7b49\u7ea7\u4e5f\u88ab\u79f0\u4e3a\u201c\u5c42\u201d\uff08D\uff09\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8ba1\u7b97Mipmap\u7b49\u7ea7<\/h4>\n\n\n\n\u8981\u8ba1\u7b97\u4e00\u4e2a\u50cf\u7d20\u7684Mipmap\u7b49\u7ea7\uff0c\u53ef\u4ee5\u5148\u627e\u51fa\u8be5\u50cf\u7d20\u4ee5\u53ca\u5176\u4e0a\u65b9\u3001\u53f3\u65b9\u4e24\u4e2a\u50cf\u7d20\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u5750\u6807\uff0c\u7136\u540e\u518d\u6839\u636e\u8fd9\u4e09\u4e2a\u70b9\u7684\u5750\u6807\u6c42\u51fa\u91c7\u6837\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u3002<\/p>\n\n\n\n[latex]L=\\max \\left(\\sqrt{\\left(\\frac{d u}{d x}\\right)^2+\\left(\\frac{d v}{d x}\\right)^2}, \\sqrt{\\left(\\frac{d u}{d y}\\right)^2+\\left(\\frac{d v}{d y}\\right)^2}\\right)[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u518d\u6839\u636e\u8fb9\u957fL\u5c31\u80fd\u6c42\u51fa\u7b49\u7ea7\u4e86[latex]D=\\log _2 L[\/latex]<\/p>\n\n\n\n\u4e09\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5c06Mipmap\u7b49\u7ea7\u53ef\u89c6\u5316\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53ef\u4ee5\u53d1\u73b0\uff0c\u5176\u7b49\u7ea7\u53d8\u5316\u975e\u5e38\u7684\u4e0d\u5e73\u6ed1\u3002\u5176\u539f\u56e0\u5c31\u662f\u8ba1\u7b97Mipmap\u65f6\uff0c\u53ea\u5bf9\u79bb\u6563\u7684\u7b49\u7ea7\u8fdb\u884c\u4e86\u91c7\u6837\u3002<\/p>\n\n\n\n\u53ef\u4ee5\u5229\u7528\u4e09\u7ebf\u6027\u63d2\u503c\u7684\u65b9\u6cd5\u6c42\u51fa\u8fde\u7eed\u7b49\u7ea7\u7684Mipmap\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5148\u7528\u53cc\u7ebf\u6027\u63d2\u503c\u5f97\u5230\u91c7\u6837\u70b9\u539f\u672c\u6240\u5728\u7684\u7b49\u7ea7D\u7684\u7eb9\u7406\u503c\uff0c\u518d\u53d6\u51fa\u91c7\u6837\u70b9\u9ad8\u4e00\u4e2a\u7b49\u7ea7D+1\u5c42\u7684\u7eb9\u7406\u503c\uff0c\u518d\u5c06\u4e24\u4e2a\u503c\u518d\u8fdb\u884c\u63d2\u503c\u3002<\/p>\n\n\n\n\u8fd9\u6837\u5f97\u5230\u7684Mipmap\u7b49\u7ea7\u5c31\u975e\u5e38\u5e73\u6ed1<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4<\/h4>\n\n\n\n\u4f46\u5982\u679c\u91c7\u7528Mipmap\u6765\u89e3\u51b3\u4e0a\u9762\u7684\u6469\u5c14\u7eb9\u95ee\u9898\uff0c\u4ea7\u751f\u7684\u56fe\u50cf\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fdc\u5904\u7684\u7ec6\u8282\u5b8c\u5168\u6d88\u5931\u4e86\u3002<\/p>\n\n\n\n\u5176\u539f\u56e0\u5c31\u662f\uff0c \u6bcf\u4e2a\u50cf\u7d20\u70b9\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u8303\u56f4\u5e76\u4e0d\u4e00\u5b9a\u662f\u6b63\u65b9\u5f62\u7684\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp 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1\uff0c\u4e0d\u65ad\u538b\u7f29\u957f\u5bbd\uff0c\u76f4\u5230\u56fe\u7247\u53d8\u62101*1\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\nMipmap\u5360\u7528\u7684\u7a7a\u95f4\u662f\u539f\u56fe\u7684[latex]\\frac{4}{3}[\/latex]\uff0c\u5373\u7a7a\u95f4\u5f00\u9500\u589e\u52a0\u4e86[latex]\\frac{1}{3}[\/latex]\u3002\u5176\u5b9e\u5c31\u5bf9\u5e73\u5747\u50cf\u7d20\u8fdb\u884c\u9884\u5904\u7406\uff0c\u63d0\u524d\u5f97\u5230\u5404\u5c42\u6b21\u7684\u5e73\u5747\u50cf\u7d20\uff0c\u4e5f\u5c31\u662f\u7528\u7a7a\u95f4\u6362\u65f6\u95f4\u3002<\/p>\n\n\n\n\u56fe\u50cf\u91d1\u5b57\u5854\u4e5f\u5c31\u662f\u6307Mipmap\uff0cMipmap\u7684\u6bcf\u4e00\u4e2a\u7b49\u7ea7\u4e5f\u88ab\u79f0\u4e3a\u201c\u5c42\u201d\uff08D\uff09\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8ba1\u7b97Mipmap\u7b49\u7ea7<\/h4>\n\n\n\n\u8981\u8ba1\u7b97\u4e00\u4e2a\u50cf\u7d20\u7684Mipmap\u7b49\u7ea7\uff0c\u53ef\u4ee5\u5148\u627e\u51fa\u8be5\u50cf\u7d20\u4ee5\u53ca\u5176\u4e0a\u65b9\u3001\u53f3\u65b9\u4e24\u4e2a\u50cf\u7d20\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u5750\u6807\uff0c\u7136\u540e\u518d\u6839\u636e\u8fd9\u4e09\u4e2a\u70b9\u7684\u5750\u6807\u6c42\u51fa\u91c7\u6837\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u3002<\/p>\n\n\n\n[latex]L=\\max \\left(\\sqrt{\\left(\\frac{d u}{d x}\\right)^2+\\left(\\frac{d v}{d x}\\right)^2}, \\sqrt{\\left(\\frac{d u}{d y}\\right)^2+\\left(\\frac{d v}{d y}\\right)^2}\\right)[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u518d\u6839\u636e\u8fb9\u957fL\u5c31\u80fd\u6c42\u51fa\u7b49\u7ea7\u4e86[latex]D=\\log _2 L[\/latex]<\/p>\n\n\n\n\u4e09\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5c06Mipmap\u7b49\u7ea7\u53ef\u89c6\u5316\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53ef\u4ee5\u53d1\u73b0\uff0c\u5176\u7b49\u7ea7\u53d8\u5316\u975e\u5e38\u7684\u4e0d\u5e73\u6ed1\u3002\u5176\u539f\u56e0\u5c31\u662f\u8ba1\u7b97Mipmap\u65f6\uff0c\u53ea\u5bf9\u79bb\u6563\u7684\u7b49\u7ea7\u8fdb\u884c\u4e86\u91c7\u6837\u3002<\/p>\n\n\n\n\u53ef\u4ee5\u5229\u7528\u4e09\u7ebf\u6027\u63d2\u503c\u7684\u65b9\u6cd5\u6c42\u51fa\u8fde\u7eed\u7b49\u7ea7\u7684Mipmap\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5148\u7528\u53cc\u7ebf\u6027\u63d2\u503c\u5f97\u5230\u91c7\u6837\u70b9\u539f\u672c\u6240\u5728\u7684\u7b49\u7ea7D\u7684\u7eb9\u7406\u503c\uff0c\u518d\u53d6\u51fa\u91c7\u6837\u70b9\u9ad8\u4e00\u4e2a\u7b49\u7ea7D+1\u5c42\u7684\u7eb9\u7406\u503c\uff0c\u518d\u5c06\u4e24\u4e2a\u503c\u518d\u8fdb\u884c\u63d2\u503c\u3002<\/p>\n\n\n\n\u8fd9\u6837\u5f97\u5230\u7684Mipmap\u7b49\u7ea7\u5c31\u975e\u5e38\u5e73\u6ed1<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4<\/h4>\n\n\n\n\u4f46\u5982\u679c\u91c7\u7528Mipmap\u6765\u89e3\u51b3\u4e0a\u9762\u7684\u6469\u5c14\u7eb9\u95ee\u9898\uff0c\u4ea7\u751f\u7684\u56fe\u50cf\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fdc\u5904\u7684\u7ec6\u8282\u5b8c\u5168\u6d88\u5931\u4e86\u3002<\/p>\n\n\n\n\u5176\u539f\u56e0\u5c31\u662f\uff0c 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>\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp …<\/p>","protected":false},"author":1,"featured_media":990,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,14,30,3],"tags":[17,15,16,12,22],"class_list":["post-991","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-games","category-games101","category-30","category-3","tag-games","tag-games101","tag-16","tag-12","tag-22"],"_links":{"self":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/comments?post=991"}],"version-history":[{"count":1,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions"}],"predecessor-version":[{"id":1754,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions\/1754"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media\/990"}],"wp:attachment":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media?parent=991"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/categories?post=991"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/tags?post=991"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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\u5229\u7528\u8d85\u91c7\u6837\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u662f\u5176\u5f00\u9500\u4f1a\u975e\u5e38\u5927\u3002<\/p>\n\n\n\n\u6240\u4ee5\u73b0\u5728\u60f3\u8981\u4e0d\u91c7\u6837\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\nMipmap<\/h4>\n\n\n\nMipmap\u53ef\u4ee5\u505a\u5230\u5728\u4e0d\u91c7\u6837\u7684\u60c5\u51b5\u4e0b\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002\u5b83\u53ef\u4ee5\u505a\u5230\u5feb\u901f\u3001\u8fd1\u4f3c\u7684\u6b63\u65b9\u5f62\u8303\u56f4\u5e73\u5747\u50cf\u7d20\u67e5\u8be2\u3002\u4f46\u6ce8\u610f\uff0c\u5f97\u5230\u7684\u7ed3\u679c\u53ea\u662f\u8fd1\u4f3c\u503c\uff0c\u5e76\u4e14\u53ea\u80fd\u67e5\u8be2\u6b63\u65b9\u5f62\u8303\u56f4\u3002<\/p>\n\n\n\n\u5047\u8bbe\u6709\u4e00\u5f20\u5206\u8fa8\u7387\u4e3a128*128\u7684\u7eb9\u7406\u56fe\uff0c\u5c06\u539f\u56fe\u79f0\u4e3aLevel 0\u3002<\/p>\n\n\n\n\u5c06\u539f\u56fe\u7684\u957f\u5bbd\u90fd\u538b\u7f29\u4e00\u534a\uff0c\u79f0\u4e3aLevel 1\uff0c\u4e0d\u65ad\u538b\u7f29\u957f\u5bbd\uff0c\u76f4\u5230\u56fe\u7247\u53d8\u62101*1\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\nMipmap\u5360\u7528\u7684\u7a7a\u95f4\u662f\u539f\u56fe\u7684[latex]\\frac{4}{3}[\/latex]\uff0c\u5373\u7a7a\u95f4\u5f00\u9500\u589e\u52a0\u4e86[latex]\\frac{1}{3}[\/latex]\u3002\u5176\u5b9e\u5c31\u5bf9\u5e73\u5747\u50cf\u7d20\u8fdb\u884c\u9884\u5904\u7406\uff0c\u63d0\u524d\u5f97\u5230\u5404\u5c42\u6b21\u7684\u5e73\u5747\u50cf\u7d20\uff0c\u4e5f\u5c31\u662f\u7528\u7a7a\u95f4\u6362\u65f6\u95f4\u3002<\/p>\n\n\n\n\u56fe\u50cf\u91d1\u5b57\u5854\u4e5f\u5c31\u662f\u6307Mipmap\uff0cMipmap\u7684\u6bcf\u4e00\u4e2a\u7b49\u7ea7\u4e5f\u88ab\u79f0\u4e3a\u201c\u5c42\u201d\uff08D\uff09\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8ba1\u7b97Mipmap\u7b49\u7ea7<\/h4>\n\n\n\n\u8981\u8ba1\u7b97\u4e00\u4e2a\u50cf\u7d20\u7684Mipmap\u7b49\u7ea7\uff0c\u53ef\u4ee5\u5148\u627e\u51fa\u8be5\u50cf\u7d20\u4ee5\u53ca\u5176\u4e0a\u65b9\u3001\u53f3\u65b9\u4e24\u4e2a\u50cf\u7d20\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u5750\u6807\uff0c\u7136\u540e\u518d\u6839\u636e\u8fd9\u4e09\u4e2a\u70b9\u7684\u5750\u6807\u6c42\u51fa\u91c7\u6837\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u3002<\/p>\n\n\n\n[latex]L=\\max \\left(\\sqrt{\\left(\\frac{d u}{d x}\\right)^2+\\left(\\frac{d v}{d x}\\right)^2}, \\sqrt{\\left(\\frac{d u}{d y}\\right)^2+\\left(\\frac{d v}{d y}\\right)^2}\\right)[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u518d\u6839\u636e\u8fb9\u957fL\u5c31\u80fd\u6c42\u51fa\u7b49\u7ea7\u4e86[latex]D=\\log _2 L[\/latex]<\/p>\n\n\n\n\u4e09\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5c06Mipmap\u7b49\u7ea7\u53ef\u89c6\u5316\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53ef\u4ee5\u53d1\u73b0\uff0c\u5176\u7b49\u7ea7\u53d8\u5316\u975e\u5e38\u7684\u4e0d\u5e73\u6ed1\u3002\u5176\u539f\u56e0\u5c31\u662f\u8ba1\u7b97Mipmap\u65f6\uff0c\u53ea\u5bf9\u79bb\u6563\u7684\u7b49\u7ea7\u8fdb\u884c\u4e86\u91c7\u6837\u3002<\/p>\n\n\n\n\u53ef\u4ee5\u5229\u7528\u4e09\u7ebf\u6027\u63d2\u503c\u7684\u65b9\u6cd5\u6c42\u51fa\u8fde\u7eed\u7b49\u7ea7\u7684Mipmap\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5148\u7528\u53cc\u7ebf\u6027\u63d2\u503c\u5f97\u5230\u91c7\u6837\u70b9\u539f\u672c\u6240\u5728\u7684\u7b49\u7ea7D\u7684\u7eb9\u7406\u503c\uff0c\u518d\u53d6\u51fa\u91c7\u6837\u70b9\u9ad8\u4e00\u4e2a\u7b49\u7ea7D+1\u5c42\u7684\u7eb9\u7406\u503c\uff0c\u518d\u5c06\u4e24\u4e2a\u503c\u518d\u8fdb\u884c\u63d2\u503c\u3002<\/p>\n\n\n\n\u8fd9\u6837\u5f97\u5230\u7684Mipmap\u7b49\u7ea7\u5c31\u975e\u5e38\u5e73\u6ed1<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4<\/h4>\n\n\n\n\u4f46\u5982\u679c\u91c7\u7528Mipmap\u6765\u89e3\u51b3\u4e0a\u9762\u7684\u6469\u5c14\u7eb9\u95ee\u9898\uff0c\u4ea7\u751f\u7684\u56fe\u50cf\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fdc\u5904\u7684\u7ec6\u8282\u5b8c\u5168\u6d88\u5931\u4e86\u3002<\/p>\n\n\n\n\u5176\u539f\u56e0\u5c31\u662f\uff0c \u6bcf\u4e2a\u50cf\u7d20\u70b9\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u8303\u56f4\u5e76\u4e0d\u4e00\u5b9a\u662f\u6b63\u65b9\u5f62\u7684\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp …<\/p>","protected":false},"author":1,"featured_media":990,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,14,30,3],"tags":[17,15,16,12,22],"class_list":["post-991","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-games","category-games101","category-30","category-3","tag-games","tag-games101","tag-16","tag-12","tag-22"],"_links":{"self":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/comments?post=991"}],"version-history":[{"count":1,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions"}],"predecessor-version":[{"id":1754,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions\/1754"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media\/990"}],"wp:attachment":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media?parent=991"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/categories?post=991"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/tags?post=991"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u4f46\u662f\u5176\u5f00\u9500\u4f1a\u975e\u5e38\u5927\u3002<\/p>\n\n\n\n
\u6240\u4ee5\u73b0\u5728\u60f3\u8981\u4e0d\u91c7\u6837\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\n
Mipmap\u53ef\u4ee5\u505a\u5230\u5728\u4e0d\u91c7\u6837\u7684\u60c5\u51b5\u4e0b\uff0c\u76f4\u63a5\u5f97\u5230\u5e73\u5747\u540e\u7684\u7ed3\u679c\u3002\u5b83\u53ef\u4ee5\u505a\u5230\u5feb\u901f\u3001\u8fd1\u4f3c\u7684\u6b63\u65b9\u5f62\u8303\u56f4\u5e73\u5747\u50cf\u7d20\u67e5\u8be2\u3002\u4f46\u6ce8\u610f\uff0c\u5f97\u5230\u7684\u7ed3\u679c\u53ea\u662f\u8fd1\u4f3c\u503c\uff0c\u5e76\u4e14\u53ea\u80fd\u67e5\u8be2\u6b63\u65b9\u5f62\u8303\u56f4\u3002<\/p>\n\n\n\n
\u5047\u8bbe\u6709\u4e00\u5f20\u5206\u8fa8\u7387\u4e3a128*128\u7684\u7eb9\u7406\u56fe\uff0c\u5c06\u539f\u56fe\u79f0\u4e3aLevel 0\u3002<\/p>\n\n\n\n
\u5c06\u539f\u56fe\u7684\u957f\u5bbd\u90fd\u538b\u7f29\u4e00\u534a\uff0c\u79f0\u4e3aLevel 1\uff0c\u4e0d\u65ad\u538b\u7f29\u957f\u5bbd\uff0c\u76f4\u5230\u56fe\u7247\u53d8\u62101*1\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\nMipmap\u5360\u7528\u7684\u7a7a\u95f4\u662f\u539f\u56fe\u7684[latex]\\frac{4}{3}[\/latex]\uff0c\u5373\u7a7a\u95f4\u5f00\u9500\u589e\u52a0\u4e86[latex]\\frac{1}{3}[\/latex]\u3002\u5176\u5b9e\u5c31\u5bf9\u5e73\u5747\u50cf\u7d20\u8fdb\u884c\u9884\u5904\u7406\uff0c\u63d0\u524d\u5f97\u5230\u5404\u5c42\u6b21\u7684\u5e73\u5747\u50cf\u7d20\uff0c\u4e5f\u5c31\u662f\u7528\u7a7a\u95f4\u6362\u65f6\u95f4\u3002<\/p>\n\n\n\n\u56fe\u50cf\u91d1\u5b57\u5854\u4e5f\u5c31\u662f\u6307Mipmap\uff0cMipmap\u7684\u6bcf\u4e00\u4e2a\u7b49\u7ea7\u4e5f\u88ab\u79f0\u4e3a\u201c\u5c42\u201d\uff08D\uff09\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8ba1\u7b97Mipmap\u7b49\u7ea7<\/h4>\n\n\n\n\u8981\u8ba1\u7b97\u4e00\u4e2a\u50cf\u7d20\u7684Mipmap\u7b49\u7ea7\uff0c\u53ef\u4ee5\u5148\u627e\u51fa\u8be5\u50cf\u7d20\u4ee5\u53ca\u5176\u4e0a\u65b9\u3001\u53f3\u65b9\u4e24\u4e2a\u50cf\u7d20\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u5750\u6807\uff0c\u7136\u540e\u518d\u6839\u636e\u8fd9\u4e09\u4e2a\u70b9\u7684\u5750\u6807\u6c42\u51fa\u91c7\u6837\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u3002<\/p>\n\n\n\n[latex]L=\\max \\left(\\sqrt{\\left(\\frac{d u}{d x}\\right)^2+\\left(\\frac{d v}{d x}\\right)^2}, \\sqrt{\\left(\\frac{d u}{d y}\\right)^2+\\left(\\frac{d v}{d y}\\right)^2}\\right)[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u518d\u6839\u636e\u8fb9\u957fL\u5c31\u80fd\u6c42\u51fa\u7b49\u7ea7\u4e86[latex]D=\\log _2 L[\/latex]<\/p>\n\n\n\n\u4e09\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5c06Mipmap\u7b49\u7ea7\u53ef\u89c6\u5316\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53ef\u4ee5\u53d1\u73b0\uff0c\u5176\u7b49\u7ea7\u53d8\u5316\u975e\u5e38\u7684\u4e0d\u5e73\u6ed1\u3002\u5176\u539f\u56e0\u5c31\u662f\u8ba1\u7b97Mipmap\u65f6\uff0c\u53ea\u5bf9\u79bb\u6563\u7684\u7b49\u7ea7\u8fdb\u884c\u4e86\u91c7\u6837\u3002<\/p>\n\n\n\n\u53ef\u4ee5\u5229\u7528\u4e09\u7ebf\u6027\u63d2\u503c\u7684\u65b9\u6cd5\u6c42\u51fa\u8fde\u7eed\u7b49\u7ea7\u7684Mipmap\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5148\u7528\u53cc\u7ebf\u6027\u63d2\u503c\u5f97\u5230\u91c7\u6837\u70b9\u539f\u672c\u6240\u5728\u7684\u7b49\u7ea7D\u7684\u7eb9\u7406\u503c\uff0c\u518d\u53d6\u51fa\u91c7\u6837\u70b9\u9ad8\u4e00\u4e2a\u7b49\u7ea7D+1\u5c42\u7684\u7eb9\u7406\u503c\uff0c\u518d\u5c06\u4e24\u4e2a\u503c\u518d\u8fdb\u884c\u63d2\u503c\u3002<\/p>\n\n\n\n\u8fd9\u6837\u5f97\u5230\u7684Mipmap\u7b49\u7ea7\u5c31\u975e\u5e38\u5e73\u6ed1<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4<\/h4>\n\n\n\n\u4f46\u5982\u679c\u91c7\u7528Mipmap\u6765\u89e3\u51b3\u4e0a\u9762\u7684\u6469\u5c14\u7eb9\u95ee\u9898\uff0c\u4ea7\u751f\u7684\u56fe\u50cf\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fdc\u5904\u7684\u7ec6\u8282\u5b8c\u5168\u6d88\u5931\u4e86\u3002<\/p>\n\n\n\n\u5176\u539f\u56e0\u5c31\u662f\uff0c \u6bcf\u4e2a\u50cf\u7d20\u70b9\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u8303\u56f4\u5e76\u4e0d\u4e00\u5b9a\u662f\u6b63\u65b9\u5f62\u7684\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure 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Mipmap\u5360\u7528\u7684\u7a7a\u95f4\u662f\u539f\u56fe\u7684[latex]\\frac{4}{3}[\/latex]\uff0c\u5373\u7a7a\u95f4\u5f00\u9500\u589e\u52a0\u4e86[latex]\\frac{1}{3}[\/latex]\u3002\u5176\u5b9e\u5c31\u5bf9\u5e73\u5747\u50cf\u7d20\u8fdb\u884c\u9884\u5904\u7406\uff0c\u63d0\u524d\u5f97\u5230\u5404\u5c42\u6b21\u7684\u5e73\u5747\u50cf\u7d20\uff0c\u4e5f\u5c31\u662f\u7528\u7a7a\u95f4\u6362\u65f6\u95f4\u3002<\/p>\n\n\n\n
\u56fe\u50cf\u91d1\u5b57\u5854\u4e5f\u5c31\u662f\u6307Mipmap\uff0cMipmap\u7684\u6bcf\u4e00\u4e2a\u7b49\u7ea7\u4e5f\u88ab\u79f0\u4e3a\u201c\u5c42\u201d\uff08D\uff09\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8ba1\u7b97Mipmap\u7b49\u7ea7<\/h4>\n\n\n\n\u8981\u8ba1\u7b97\u4e00\u4e2a\u50cf\u7d20\u7684Mipmap\u7b49\u7ea7\uff0c\u53ef\u4ee5\u5148\u627e\u51fa\u8be5\u50cf\u7d20\u4ee5\u53ca\u5176\u4e0a\u65b9\u3001\u53f3\u65b9\u4e24\u4e2a\u50cf\u7d20\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u5750\u6807\uff0c\u7136\u540e\u518d\u6839\u636e\u8fd9\u4e09\u4e2a\u70b9\u7684\u5750\u6807\u6c42\u51fa\u91c7\u6837\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u3002<\/p>\n\n\n\n[latex]L=\\max \\left(\\sqrt{\\left(\\frac{d u}{d x}\\right)^2+\\left(\\frac{d v}{d x}\\right)^2}, \\sqrt{\\left(\\frac{d u}{d y}\\right)^2+\\left(\\frac{d v}{d y}\\right)^2}\\right)[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u518d\u6839\u636e\u8fb9\u957fL\u5c31\u80fd\u6c42\u51fa\u7b49\u7ea7\u4e86[latex]D=\\log _2 L[\/latex]<\/p>\n\n\n\n\u4e09\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5c06Mipmap\u7b49\u7ea7\u53ef\u89c6\u5316\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53ef\u4ee5\u53d1\u73b0\uff0c\u5176\u7b49\u7ea7\u53d8\u5316\u975e\u5e38\u7684\u4e0d\u5e73\u6ed1\u3002\u5176\u539f\u56e0\u5c31\u662f\u8ba1\u7b97Mipmap\u65f6\uff0c\u53ea\u5bf9\u79bb\u6563\u7684\u7b49\u7ea7\u8fdb\u884c\u4e86\u91c7\u6837\u3002<\/p>\n\n\n\n\u53ef\u4ee5\u5229\u7528\u4e09\u7ebf\u6027\u63d2\u503c\u7684\u65b9\u6cd5\u6c42\u51fa\u8fde\u7eed\u7b49\u7ea7\u7684Mipmap\u3002<\/p>\n\n\n\n<\/figure 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>\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp 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[latex]L=\\max \\left(\\sqrt{\\left(\\frac{d u}{d x}\\right)^2+\\left(\\frac{d v}{d x}\\right)^2}, \\sqrt{\\left(\\frac{d u}{d y}\\right)^2+\\left(\\frac{d v}{d y}\\right)^2}\\right)[\/latex]<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u518d\u6839\u636e\u8fb9\u957fL\u5c31\u80fd\u6c42\u51fa\u7b49\u7ea7\u4e86[latex]D=\\log _2 L[\/latex]<\/p>\n\n\n\n\u4e09\u7ebf\u6027\u63d2\u503c<\/h4>\n\n\n\n\u5c06Mipmap\u7b49\u7ea7\u53ef\u89c6\u5316\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53ef\u4ee5\u53d1\u73b0\uff0c\u5176\u7b49\u7ea7\u53d8\u5316\u975e\u5e38\u7684\u4e0d\u5e73\u6ed1\u3002\u5176\u539f\u56e0\u5c31\u662f\u8ba1\u7b97Mipmap\u65f6\uff0c\u53ea\u5bf9\u79bb\u6563\u7684\u7b49\u7ea7\u8fdb\u884c\u4e86\u91c7\u6837\u3002<\/p>\n\n\n\n\u53ef\u4ee5\u5229\u7528\u4e09\u7ebf\u6027\u63d2\u503c\u7684\u65b9\u6cd5\u6c42\u51fa\u8fde\u7eed\u7b49\u7ea7\u7684Mipmap\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5148\u7528\u53cc\u7ebf\u6027\u63d2\u503c\u5f97\u5230\u91c7\u6837\u70b9\u539f\u672c\u6240\u5728\u7684\u7b49\u7ea7D\u7684\u7eb9\u7406\u503c\uff0c\u518d\u53d6\u51fa\u91c7\u6837\u70b9\u9ad8\u4e00\u4e2a\u7b49\u7ea7D+1\u5c42\u7684\u7eb9\u7406\u503c\uff0c\u518d\u5c06\u4e24\u4e2a\u503c\u518d\u8fdb\u884c\u63d2\u503c\u3002<\/p>\n\n\n\n\u8fd9\u6837\u5f97\u5230\u7684Mipmap\u7b49\u7ea7\u5c31\u975e\u5e38\u5e73\u6ed1<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4<\/h4>\n\n\n\n\u4f46\u5982\u679c\u91c7\u7528Mipmap\u6765\u89e3\u51b3\u4e0a\u9762\u7684\u6469\u5c14\u7eb9\u95ee\u9898\uff0c\u4ea7\u751f\u7684\u56fe\u50cf\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fdc\u5904\u7684\u7ec6\u8282\u5b8c\u5168\u6d88\u5931\u4e86\u3002<\/p>\n\n\n\n\u5176\u539f\u56e0\u5c31\u662f\uff0c 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>\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure 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\u5c06Mipmap\u7b49\u7ea7\u53ef\u89c6\u5316\u540e\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u53ef\u4ee5\u53d1\u73b0\uff0c\u5176\u7b49\u7ea7\u53d8\u5316\u975e\u5e38\u7684\u4e0d\u5e73\u6ed1\u3002\u5176\u539f\u56e0\u5c31\u662f\u8ba1\u7b97Mipmap\u65f6\uff0c\u53ea\u5bf9\u79bb\u6563\u7684\u7b49\u7ea7\u8fdb\u884c\u4e86\u91c7\u6837\u3002<\/p>\n\n\n\n\u53ef\u4ee5\u5229\u7528\u4e09\u7ebf\u6027\u63d2\u503c\u7684\u65b9\u6cd5\u6c42\u51fa\u8fde\u7eed\u7b49\u7ea7\u7684Mipmap\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5148\u7528\u53cc\u7ebf\u6027\u63d2\u503c\u5f97\u5230\u91c7\u6837\u70b9\u539f\u672c\u6240\u5728\u7684\u7b49\u7ea7D\u7684\u7eb9\u7406\u503c\uff0c\u518d\u53d6\u51fa\u91c7\u6837\u70b9\u9ad8\u4e00\u4e2a\u7b49\u7ea7D+1\u5c42\u7684\u7eb9\u7406\u503c\uff0c\u518d\u5c06\u4e24\u4e2a\u503c\u518d\u8fdb\u884c\u63d2\u503c\u3002<\/p>\n\n\n\n\u8fd9\u6837\u5f97\u5230\u7684Mipmap\u7b49\u7ea7\u5c31\u975e\u5e38\u5e73\u6ed1<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4<\/h4>\n\n\n\n\u4f46\u5982\u679c\u91c7\u7528Mipmap\u6765\u89e3\u51b3\u4e0a\u9762\u7684\u6469\u5c14\u7eb9\u95ee\u9898\uff0c\u4ea7\u751f\u7684\u56fe\u50cf\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fdc\u5904\u7684\u7ec6\u8282\u5b8c\u5168\u6d88\u5931\u4e86\u3002<\/p>\n\n\n\n\u5176\u539f\u56e0\u5c31\u662f\uff0c \u6bcf\u4e2a\u50cf\u7d20\u70b9\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u8303\u56f4\u5e76\u4e0d\u4e00\u5b9a\u662f\u6b63\u65b9\u5f62\u7684\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure 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>\n<\/figure><\/noscript>\n\n\n\n\u8fdc\u5904\u7684\u7ec6\u8282\u5b8c\u5168\u6d88\u5931\u4e86\u3002<\/p>\n\n\n\n\u5176\u539f\u56e0\u5c31\u662f\uff0c \u6bcf\u4e2a\u50cf\u7d20\u70b9\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u8303\u56f4\u5e76\u4e0d\u4e00\u5b9a\u662f\u6b63\u65b9\u5f62\u7684\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure 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\u8fd9\u6837\u5f97\u5230\u7684Mipmap\u7b49\u7ea7\u5c31\u975e\u5e38\u5e73\u6ed1<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4<\/h4>\n\n\n\n\u4f46\u5982\u679c\u91c7\u7528Mipmap\u6765\u89e3\u51b3\u4e0a\u9762\u7684\u6469\u5c14\u7eb9\u95ee\u9898\uff0c\u4ea7\u751f\u7684\u56fe\u50cf\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fdc\u5904\u7684\u7ec6\u8282\u5b8c\u5168\u6d88\u5931\u4e86\u3002<\/p>\n\n\n\n\u5176\u539f\u56e0\u5c31\u662f\uff0c \u6bcf\u4e2a\u50cf\u7d20\u70b9\u5728\u7eb9\u7406\u56fe\u4e0a\u5bf9\u5e94\u7684\u8303\u56f4\u5e76\u4e0d\u4e00\u5b9a\u662f\u6b63\u65b9\u5f62\u7684\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp 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>\n<\/figure><\/noscript>\n\n\n\n\u5bf9\u4e8e\u77e9\u5f62\u7684\u91c7\u6837\u533a\u57df\uff0c\u5168\u90e8\u4f1a\u88ab\u8fd1\u4f3c\u6210\u6b63\u65b9\u5f62\uff0c\u5f97\u5230\u7684\u8bef\u5dee\u5c31\u4f1a\u53d8\u5927\u3002<\/p>\n\n\n\n\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\nMipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n\u4e0b\u65b9\u56fe\u50cf\u7684\u5de6\u4e0a\u89d2\u662f\u539f\u56fe\uff0c\u4ece\u5de6\u5f80\u53f3\uff0c\u6a2a\u5411\u88ab\u4e0d\u65ad\u538b\u7f29\uff0c\u4ece\u4e0a\u5f80\u4e0b\uff0c\u7eb5\u5411\u4e0d\u65ad\u538b\u7f29\u3002\u8fd9\u6837\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5c31\u53ef\u4ee5\u5f88\u597d\u7684\u5e94\u5bf9\u77e9\u5f62\u91c7\u6837\u533a\u57df\u4e86\u3002Mipmap\u6b63\u597d\u662f\u5728\u8fd9\u5f20\u56fe\u7684\u5bf9\u89d2\u7ebf\u4e0a\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure 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>\n<\/figure><\/noscript>\n\n\n\n\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u7684\u603b\u7a7a\u95f4\u5f00\u9500\u662f\u539f\u56fe\u76843\u500d\uff0c\u4e5f\u5c31\u662f\u989d\u5916\u5f00\u9500\u4e3a\u539f\u56fe\u76842\u500d\u3002<\/p>\n\n\n\n\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp 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\u5404\u5411\u5f02\u6027\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u77e9\u5f62\u533a\u57df\u7684\u91c7\u6837\u95ee\u9898\u3002<\/p>\n\n\n\n
Mipmap\u8ba1\u7b97\u51fa\u7684\u662f\u957f\u548c\u5bbd\u540c\u65f6\u7f29\u5c0f\u65f6\u7684\u56fe\u50cf\uff0c\u800c\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u8fd8\u4f1a\u751f\u6210\u957f\u5bbd\u4e0d\u540c\u65f6\u538b\u7f29\u65f6\u7684\u56fe\u50cf\u3002<\/p>\n\n\n\n
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>\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp 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\u8fd9\u65f6\u5404\u5411\u5f02\u6027\u8fc7\u6ee4\u5f97\u5230\u7684\u56fe\u50cf\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f46\u5404\u5411\u5f02\u6027\u65e0\u6cd5\u89e3\u51b3\u91c7\u6837\u77e9\u5f62\u5728\u7eb9\u7406\u56fe\u4e2d\u659c\u653e\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n\u9ad8\u7ea7\u7eb9\u7406\u6620\u5c04<\/h2>\n\n\n\n\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n\u73af\u5883\u5149\u7eb9\u7406<\/h3>\n\n\n\n\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp …<\/p>","protected":false},"author":1,"featured_media":990,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,14,30,3],"tags":[17,15,16,12,22],"class_list":["post-991","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-games","category-games101","category-30","category-3","tag-games","tag-games101","tag-16","tag-12","tag-22"],"_links":{"self":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/comments?post=991"}],"version-history":[{"count":1,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions"}],"predecessor-version":[{"id":1754,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions\/1754"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media\/990"}],"wp:attachment":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media?parent=991"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/categories?post=991"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/tags?post=991"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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\u7eb9\u7406\u4e0d\u6b62\u53ef\u4ee5\u7528\u6765\u8868\u793a\u6a21\u578b\u8868\u660e\u7684\u989c\u8272\uff0c\u8fd8\u53ef\u4ee5\u8868\u793a\u6a21\u578b\u7684\u5404\u79cd\u6027\u8d28\u3002<\/p>\n\n\n\n
\u5c06\u73af\u5883\u5149\u63d0\u524d\u8fd0\u7b97\u597d\u5e76\u4f5c\u4e3a\u7eb9\u7406\u5e94\u7528\u5728\u7269\u4f53\u8868\u660e\uff0c\u53ef\u4ee5\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u7403\u4f53\u7eb9\u7406<\/h3>\n\n\n\n\u7403\u5f62\u7eb9\u7406<\/h4>\n\n\n\n\u5728\u5bf9\u4e00\u4e2a\u7403\u5e94\u7528\u7eb9\u7406\u7684\u65f6\u5019\uff0c\u7403\u4f53\u7684\u7eb9\u7406\u4f1a\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5f88\u660e\u663e\uff0c\u5728\u7403\u4f53\u7684\u4e24\u6781\u5904\u4f1a\u4ea7\u751f\u4e25\u91cd\u7684\u7578\u53d8<\/p>\n\n\n\n\u7acb\u65b9\u4f53\u7eb9\u7406<\/h4>\n\n\n\n\u5411\u91cf\u6cbf\u7740\u90a3\u4e2a\u65b9\u5411\u6620\u5c04\u5230\u7acb\u65b9\u4f53\u70b9\u3002\u7acb\u65b9\u4f53\u67096\u4e2a\u6b63\u65b9\u5f62\u7eb9\u7406\u8d34\u56fe\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp …<\/p>","protected":false},"author":1,"featured_media":990,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,14,30,3],"tags":[17,15,16,12,22],"class_list":["post-991","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-games","category-games101","category-30","category-3","tag-games","tag-games101","tag-16","tag-12","tag-22"],"_links":{"self":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/comments?post=991"}],"version-history":[{"count":1,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions"}],"predecessor-version":[{"id":1754,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions\/1754"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media\/990"}],"wp:attachment":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media?parent=991"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/categories?post=991"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/tags?post=991"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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>\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp …<\/p>","protected":false},"author":1,"featured_media":990,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,14,30,3],"tags":[17,15,16,12,22],"class_list":["post-991","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-games","category-games101","category-30","category-3","tag-games","tag-games101","tag-16","tag-12","tag-22"],"_links":{"self":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/comments?post=991"}],"version-history":[{"count":1,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions"}],"predecessor-version":[{"id":1754,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions\/1754"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media\/990"}],"wp:attachment":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media?parent=991"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/categories?post=991"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/tags?post=991"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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>\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u8981\u6c42\u6a21\u578b\u7684\u9762\u6781\u4e3a\u7cbe\u7ec6\uff0c\u5373\u4fe1\u53f7\u53d8\u5316\u9891\u7387\u8981\u5927\u4e8e\u4f4d\u79fb\u8d34\u56fe\u7684\u9891\u7387\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u63d2\u503c \u91cd\u5fc3\u5750\u6807 \u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u90a3\u4e48\u4e09\u89d2\u5f62\u6240\u5728\u5e73\u9762\u7684\u4efb\u610f\u4e00\u70b9\u90fd\u770b\u770b\u6709\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8868\u793a\uff1a[latex](x,y)=\\alp …<\/p>","protected":false},"author":1,"featured_media":990,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,14,30,3],"tags":[17,15,16,12,22],"class_list":["post-991","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-games","category-games101","category-30","category-3","tag-games","tag-games101","tag-16","tag-12","tag-22"],"_links":{"self":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/comments?post=991"}],"version-history":[{"count":1,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions"}],"predecessor-version":[{"id":1754,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/991\/revisions\/1754"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media\/990"}],"wp:attachment":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media?parent=991"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/categories?post=991"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/tags?post=991"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u8fd9\u6837\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u7403\u5f62\u7eb9\u7406\u5e26\u6765\u7684\u7578\u53d8\u95ee\u9898\uff0c\u4f46\u662f\u9700\u8981\u5728\u67e5\u8be2\u7eb9\u7406\u7684\u65f6\u5019\u591a\u4e00\u6b65\u8ba1\u7b97\uff1a\u67e5\u8be2\u7eb9\u7406\u7684\u6240\u5728\u7684\u9762\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe<\/h3>\n\n\n\n\u5229\u7528\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u4f2a\u9020\u8be6\u7ec6\u7684\u51e0\u4f55\u56fe\u5f62\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u53ef\u4ee5\u6dfb\u52a0\u8868\u9762\u7ec6\u8282\u800c\u4e0d\u6dfb\u52a0\u66f4\u591a\u4e09\u89d2\u5f62\u3002\u5176\u4f1a\u4fee\u6539\u6bcf\u4e2a\u50cf\u7d20\u7684\u8868\u9762\u6cd5\u7ebf\uff0c\u5e76\u4e14\u4ec5\u7528\u4e8e\u7740\u8272\u8ba1\u7b97\u3002\u7531\u7eb9\u7406\u5b9a\u4e49\u7684\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u201c\u9ad8\u5ea6\u504f\u79fb\u201d\uff0c\u4e5f\u5c31\u7eb9\u7406\u8868\u793a\u6bcf\u4e2a\u7eb9\u7406\u5143\u7d20\u7684\u4f4d\u7f6e\u4f1a\u6cbf\u7740\u539f\u6cd5\u7ebf\u4e0a\u79fb\u6216\u4e0b\u79fb\u591a\u5c11\uff0c\u8fd9\u4f1a\u6539\u53d8\u7eb9\u7406\u7684\u6cd5\u7ebf\uff0c\u4ece\u800c\u5f71\u54cd\u5230\u7740\u8272\u8ba1\u7b97\u3002\u5c06\u6700\u7ec8\u5f97\u5230\u7684\u6cd5\u7ebf\u79f0\u4e3a\u6270\u52a8\u6cd5\u7ebf\u3002<\/p>\n\n\n\n<\/figure >\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure 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>\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure 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>\n<\/figure><\/noscript>\n\n\n\n\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe<\/h3>\n\n\n\n\u4f4d\u79fb\u8d34\u56fe\u548c\u51f9\u51f8\u8d34\u56fe\u76f8\u4f3c\uff0c\u4f46\u66f4\u4e3a\u9ad8\u7ea7\u3002\u51f9\u51f8\u8d34\u56fe\u53ea\u6539\u53d8\u4e86\u7eb9\u7406\u7684\u6cd5\u5411\u91cf\uff0c\u4f46\u4f4d\u79fb\u8d34\u56fe\u4f1a\u6539\u53d8\u6a21\u578b\u4e2d\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n\u51f9\u51f8\u8d34\u56fe\u65e0\u6cd5\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u6ca1\u6709\u88ab\u6539\u53d8\u3002\u4f4d\u79fb\u8d34\u56fe\u4f1a\u4ea7\u751f\u9634\u5f71\uff0c\u5e76\u4e14\u6a21\u578b\u6574\u4f53\u7684\u9634\u5f71\u5728\u8fb9\u7f18\u5904\u4e5f\u4f1a\u88ab\u6539\u53d8\u3002<\/p>\n\n\n\n<\/figure 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\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\uff1a\u5148\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,1)[\/latex]\u6839\u636e\u5bfc\u6570\u7684\u5b9a\u4e49\uff0c\u5f97\u51fap\u5904\u7684\u5bfc\u6570\u4e3a[latex]dp=c*[h(p+1)-h(p)][\/latex]\u5c06\u5f97\u5230\u7684\u5bfc\u6570\u770b\u505a\u5411\u91cf\uff0c\u9006\u65f6\u9488\u65cb\u8f6c90\u00b0\u4e5f\u5c31\u5f97\u5230\u4e86\u5782\u76f4\u7684\u5411\u91cf\uff0c\u5728\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n(p)=(-dp,1).normalized()[\/latex]<\/p>\n\n\n\n
\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u8ba1\u7b97\u6270\u52a8\u6cd5\u7ebf\u7684\u6b65\u9aa4\u548c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7c7b\u4f3c\uff1a\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]p\u5904\u7684\u5bfc\u6570\u4e3a\uff1a[latex]\\frac{dp}{du}=c1*[h(u+1)-h(u)][\/latex][latex]\\frac{dp}{dv}=c2*[h(v+1)-h(v)][\/latex]\u540c\u6837\u8fdb\u884c\u65cb\u8f6c\u7136\u540e\u5f52\u4e00\u5316\u5f97\u5230\u6270\u52a8\u5411\u91cf\uff1a[latex]n=(-\\frac{dp}{du},-\\frac{dp}{dv},1).normalized()[\/latex]<\/p>\n\n\n\n
\u6ce8\u610f\uff0c\u8fd9\u91cc\u5168\u90e8\u5047\u8bbe\u539f\u6cd5\u7ebf\u4e3a[latex]n(p)=(0,0,1)[\/latex]\uff0c\u5728\u5b9e\u9645\u8fd0\u7b97\u4e2d\uff0c\u4f1a\u4f9d\u636e\u539f\u6cd5\u7ebf\uff0c\u5efa\u7acb\u4e00\u4e2a\u5c40\u90e8\u7684\u5fae\u5750\u6807\u7cfb\uff0c\u5c06\u76f8\u5173\u5750\u6807\u5168\u90e8\u8f6c\u6362\u5230\u5fae\u5750\u6807\u7cfb\u4e2d\uff0c\u518d\u8fd0\u7b97\u6270\u52a8\u6cd5\u7ebf\uff0c\u7136\u540e\u518d\u8fdb\u884c\u9006\u8fd0\u7b97\uff0c\u5f97\u5230\u7ed3\u679c\u3002<\/p>\n\n\n\n
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