{"id":96,"date":"2021-02-24T11:38:29","date_gmt":"2021-02-24T03:38:29","guid":{"rendered":"https:\/\/playerzhou.com\/blog\/?p=96"},"modified":"2021-02-24T11:38:50","modified_gmt":"2021-02-24T03:38:50","slug":"%e8%87%aa%e5%88%b6%e7%ae%80%e6%98%93%e7%9a%84%e8%bd%af%e5%85%89%e6%a0%85%e6%b8%b2%e6%9f%93%e5%99%a8%ef%bc%886%ef%bc%89","status":"publish","type":"post","link":"https:\/\/playerzhou.com\/blog\/?p=96","title":{"rendered":"\u81ea\u5236\u7b80\u6613\u7684\u8f6f\u5149\u6805\u6e32\u67d3\u5668\uff086\uff09"},"content":{"rendered":"

\u77e9\u9635\u53d8\u6362\u4e0e\u6295\u5f71\u77e9\u9635\u53d8\u6362\u4e0e\u6295\u5f71<\/h1>\n

\u9879\u76ee\u5730\u5740\uff1ahttps:\/\/github.com\/OmegaZhou\/SimpleRenderer<\/a><\/p>\n

\u77e9\u9635\u53d8\u6362<\/h3>\n

\u65cb\u8f6c<\/h4>\n
    \n
  • \u5bf9\u4e8e\u4e00\u4e2a\u4e09\u7ef4\u7684\u5750\u6807\u70b9\u6765\u8bf4\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5982\u4e0b\u77e9\u9635\u4ee4\u8be5\u70b9\u7ed5\u67d0\u4e00\u4e2a\u5750\u6807\u8f74\u65cb\u8f6c\uff0c\u5f53\u7136\u60f3\u7ed5\u4efb\u610f\u8f74\u65cb\u8f6c\u4e5f\u662f\u53ef\u4ee5\u505a\u5230\u7684\uff0c\u4e0d\u8fc7\u65cb\u8f6c\u77e9\u9635\u8f83\u4e3a\u590d\u6742\uff0c\u5728\u672c\u9879\u76ee\u4e2d\uff0c\u6211\u4ec5\u4ee4\u77e9\u9635\u6cbf\u4e09\u4e2a\u5750\u6807\u8f74\u8fdb\u884c\u65cb\u8f6c<\/li>\n<\/ul>\n

    \"\"<\/p>\n

    \u7f29\u653e<\/h4>\n
      \n
    • \u6211\u4eec\u4ec5\u9700\u4f7f\u7528\u4e00\u4e2a\u5bf9\u89d2\u9635\u5c31\u53ef\u4ee5\u5b8c\u6210\u7f29\u653e\u64cd\u4f5c\uff0c\u5143\u7d20(i,i)\u5c31\u4ee3\u8868\u5750\u6807\u7684\u7b2ci\u9879\u7684\u7f29\u653e\u6bd4\u4f8b<\/li>\n<\/ul>\n

      \u5e73\u79fb<\/h4>\n
        \n
      • \n

        \u7531\u4e8e\u4ec5\u4ec5\u4f7f\u7528\u4e09\u7ef4\u77e9\u9635\u8fdb\u884c\u53d8\u6362\u7684\u8bdd\uff0c\u6211\u4eec\u65e0\u6cd5\u5b8c\u6210\u5e73\u79fb\u64cd\u4f5c<\/p>\n<\/li>\n

      • \n

        \u8fd9\u91cc\u6211\u4eec\u5f15\u5165\u7b2c\u56db\u7ef4w\uff0c\u5e76\u4e14\u6211\u4eec\u6709\u5982\u4e0b\u5b9a\u4e49(x,y,z,1)\u548c(xw,yw,zw,w)\u8868\u793a\u7684\u662f\u540c\u4e00\u4e2a\u5750\u6807\uff0c\u5373\u4e09\u7ef4\u7a7a\u95f4\u4e2d\u7684\u5750\u6807(x,y,z)\uff0c\u8fd9\u6837\u6211\u4eec\u5c31\u53ef\u4ee5\u7528\u4e00\u4e2a\u56db\u7ef4\u5411\u91cf\u6765\u63cf\u8ff0\u4e00\u4e2a\u5e73\u79fb\u53d8\u6362\u4e86<\/p>\n<\/li>\n

      • \n

        \u8fd9\u91cc\u5bf9\u4e8e\u5750\u6807(x,y,z,1)\uff0c\u6211\u4eec\u82e5\u8981\u83b7\u5f97\u5750\u6807(x+a,y+b,z+c,1)\uff0c\u6211\u4eec\u53ea\u9700\u4f7f\u7528\u5982\u4e0b\u7684\u5e73\u79fb\u77e9\u9635\u5373\u53ef
        \n\"\"<\/p>\n<\/li>\n<\/ul>\n

        \u590d\u6742\u53d8\u6362<\/h4>\n
          \n
        • \u5bf9\u4e8e\u82e5\u5e72\u4e2a\u77e9\u9635\u53d8\u6362$A_0,A_1,A_2...$\uff0c\u6211\u4eec\u53ea\u9700\u6309\u7167\u53d8\u6362\u987a\u5e8f\u4f9d\u6b21\u5de6\u4e58\u5f97\u5230\u65b0\u7684\u77e9\u9635$B=...A_2A_1A_0$\uff0c\u5373\u5f97\u5230\u590d\u6742\u53d8\u6362B\uff0c\u6548\u679c\u7b49\u4ef7\u4e8e\u6267\u884c\u8fd9\u82e5\u5e72\u4e2a\u77e9\u9635\u53d8\u6362<\/li>\n<\/ul>\n

          \u6cd5\u5411\u91cf\u53d8\u6362<\/h4>\n
            \n
          • \u5bf9\u4e8e\u4e00\u4e2a\u5750\u6807\u70b9\u6765\u8bf4\uff0c\u6267\u884c\u5b8c\u5750\u6807\u53d8\u6362\u540e\uff0c\u4e0d\u80fd\u4fdd\u8bc1\u539f\u6cd5\u5411\u91cf\u4ecd\u4e0e\u5207\u5411\u91cf\u5782\u76f4\uff0c\u56e0\u6b64\u6211\u4eec\u5f97\u540c\u65f6\u5bf9\u6cd5\u5411\u91cf\u8fdb\u884c\u76f8\u5e94\u53d8\u6362\uff0c\u8bbe\u5207\u5411\u91cf\u4e3aA\uff0c\u6cd5\u5411\u91cf\u4e3aB\uff0c\u5750\u6807\u70b9\u7684\u53d8\u6362\u77e9\u9635\u4e3aC\uff0c\u8bbeB\u7684\u53d8\u6362\u77e9\u9635\u4e3aD\uff0c\u5728\u5bf9\u5750\u6807\u70b9\u6267\u884cC\u53d8\u6362\u540e\uff0c\u663e\u7136\u5207\u5411\u91cfA\u5c31\u53d8\u6362\u4e3aCA<\/li>\n
          • \u9996\u5148\u7531\u5b9a\u4e49\u53ef\u77e5A^TB=0\uff0c\u4e3a\u4fdd\u8bc1\u53d8\u6362\u540e\u4ecd\u4fdd\u8bc1\u8be5\u6027\u8d28\uff0c\u5373(CA)^T(DB)=AC^TDB=0<\/li>\n
          • \u56e0\u6b64\u6211\u4eec\u4ee4D=(C^T)^{-1}\uff0c\u5373\u53ef\u4f7f\u5f97(CA)^T(DB)=0<\/li>\n<\/ul>\n

            \u6295\u5f71<\/h3>\n
              \n
            • \u4e3a\u4e86\u5c06\u4e09\u7ef4\u7a7a\u95f4\u7684\u70b9\u6620\u5c04\u5230\u4e8c\u7ef4\u5e73\u9762\u4e2d\uff0c\u6211\u4eec\u5c31\u5f97\u5bf9\u7a7a\u95f4\u7684\u6bcf\u4e2a\u5750\u6807\u70b9\u8fdb\u884c\u6295\u5f71\u64cd\u4f5c<\/li>\n<\/ul>\n

              \u6b63\u4ea4\u6295\u5f71<\/h4>\n
                \n
              • \n

                \u8bbel<=x<=r,b<=y<=t,n<=z<=f\uff0c\u4e3a\u4e86\u65b9\u4fbf\u4e4b\u540e\u7684\u64cd\u4f5c\uff0c\u6211\u4eec\u9700\u8981\u8fdb\u884c\u4e00\u4e2a\u7b80\u5355\u7684\u6620\u5c04\u64cd\u4f5c\u4ee4[l,r]->[-1,1],[b,t]->[-1,1],[n,f]->[-1,1]\uff0c\u53d8\u6362\u77e9\u9635\u5373\u4e3a
                \n\"\"<\/p>\n<\/li>\n

              • \n

                \u6b63\u4ea4\u6295\u5f71\u53ef\u89c6\u4e3a\u5728\u7a7a\u95f4\u4e2d\u4f7f\u7528\u5e73\u884c\u5149\u53bb\u7167\u5c04\u7269\u4f53\uff0c\u6700\u7ec8\u5c06\u5f97\u5230\u7684\u5750\u6807\u5c06\u5176\u6620\u5c04\u5230\u4e8c\u7ef4\u5e73\u9762\u65f6\uff0c\u4fdd\u6301x\u8f74\u548cy\u8f74\u5750\u6807\u4e0d\u53d8\u5373\u53ef<\/p>\n<\/li>\n<\/ul>\n

                \u900f\u89c6\u6295\u5f71<\/h4>\n
                  \n
                • \n

                  \u900f\u89c6\u6295\u5f71\u5219\u662f\u7b26\u5408\u4eba\u773c\u7684\u89c6\u89c9\u6548\u679c\uff0c\u8fd1\u5927\u8fdc\u5c0f<\/p>\n<\/li>\n

                • \n

                  \u5176\u4e3b\u8981\u601d\u8def\u662f\u6839\u636e\u6444\u50cf\u673a\u89c6\u573a\u89d2\uff08FOV\uff09\u4ece\u6444\u50cf\u673a\u6295\u5c04\u51fa\u82e5\u5e72\u5c04\u7ebf\uff0c\u5f62\u6210\u89c6\u9525\uff0c\u6839\u636e\u9884\u5148\u8bbe\u5b9a\u597d\u7684\u6700\u8fd1\u53ef\u89c6\u8ddd\u79bb\uff08n\uff09\u548c\u6700\u8fdc\u53ef\u89c6\u8ddd\u79bb\uff08f\uff09\uff0c\u622a\u53d6\u51fa\u53ef\u89c6\u7684\u533a\u57df\uff0c\u5c06\u8be5\u533a\u57df\u538b\u7f29\u6210\u4e00\u4e2a\u6807\u51c6\u6b63\u65b9\u4f53(canonical cube, [-1,1]^3)<\/p>\n<\/li>\n

                • \n

                  \u8bbe\u70b9\u7684\u5750\u6807\u4e3a(x,y,z,1)\uff0c\u6309\u7167\u8fd1\u5927\u8fdc\u5c0f\u7684\u601d\u8def\uff0c\u6839\u636ez\u8f74\u5bf9\u70b9\u8fdb\u884c\u538b\u7f29\uff0c\u5373\u5f97\u5230(nx\/z,ny\/z,?,1)\uff0c\u8be5\u70b9\u4e0e(nx,ny,?,z)\u7b49\u4ef7\uff0c\u540c\u65f6\uff0c\u5bf9\u4e8e\u6700\u8fd1\u548c\u6700\u8fd1\u7684\u53ef\u89c6\u5e73\u9762\u6765\u8bf4\uff0c\u5176z\u503c\u4fdd\u6301\u4e0d\u53d8\uff0c\u540c\u65f6\u8003\u8651\u5230\u5bf9z\u8f74\u53d8\u6362\u65f6\uff0c\u4ec5\u4e0ez\u76f8\u5173\u4e0ex\uff0cy\u8f74\u65e0\u5173\uff0c\u56e0\u6b64\u8bbez\u8f74\u5bf9\u5e94\u7684\u53d8\u6362\u4e3a(0,0,A,B)\u5373
                  \n(0,0,A,B)(0,0,n,1)^T=(0,0,n^2,n)^T
                  \n(0,0,A,B)(0,0,f,1)^T=(0,0,f^2,f)^T<\/p>\n<\/li>\n

                • \n

                  \u5f97\u5230A=n+f,B=-nf<\/p>\n<\/li>\n

                • \n

                  \u6700\u7ec8\u53ef\u5f97\u5230\u900f\u89c6\u77e9\u9635
                  \n\"\"<\/p>\n<\/li>\n

                • \n

                  \u6700\u540e\u5c06\u5f97\u5230\u7684\u77e9\u9635\u6267\u884c\u4e00\u6b21\u6b63\u4ea4\u6295\u5f71\u64cd\u4f5c\uff0c\u5373\u53ef\u5f97\u5230\u6807\u51c6\u6b63\u65b9\u4f53<\/p>\n<\/li>\n<\/ul>\n

                  \u89c6\u53e3\u53d8\u6362<\/h3>\n
                    \n
                  • \u4e3a\u4e86\u5c06\u56fe\u50cf\u663e\u793a\u5728\u5c4f\u5e55\u4e0a\uff0c\u6211\u4eec\u8fd8\u9700\u5bf9\u5f97\u5230\u7684\u6807\u51c6\u6b63\u65b9\u4f53\u8fdb\u884c\u89c6\u53e3\u53d8\u6362<\/li>\n
                  • \u4ee4x=(x + 1) width \/ 2,y=(y + 1) <\/em> height\/ 2\uff0c\u6211\u4eec\u53ef\u4ee5\u83b7\u5f97\u5bf9\u5e94\u5c4f\u5e55\u4e0a\u7684\u6a2a\u7eb5\u5750\u6807<\/li>\n
                  • \u901a\u8fc7f1=(f-n)\/2,f2=(f+n)\/2,z=z*f1+f2\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06z\u8f74\u53d8\u6362\u81f3\u89c6\u9525\u7684\u53ef\u89c6\u8303\u56f4\u5185<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"

                    \u77e9\u9635\u53d8\u6362\u4e0e\u6295\u5f71\u77e9\u9635\u53d8\u6362\u4e0e\u6295\u5f71 \u9879\u76ee\u5730\u5740\uff1ahttps:\/\/github.com\/OmegaZhou\/Simple […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[9,3],"tags":[],"_links":{"self":[{"href":"https:\/\/playerzhou.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/96"}],"collection":[{"href":"https:\/\/playerzhou.com\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/playerzhou.com\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/playerzhou.com\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/playerzhou.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=96"}],"version-history":[{"count":1,"href":"https:\/\/playerzhou.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/96\/revisions"}],"predecessor-version":[{"id":102,"href":"https:\/\/playerzhou.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/96\/revisions\/102"}],"wp:attachment":[{"href":"https:\/\/playerzhou.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=96"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/playerzhou.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=96"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/playerzhou.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=96"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}