{"id":4502,"date":"2022-02-07T22:53:00","date_gmt":"2022-02-07T14:53:00","guid":{"rendered":"https:\/\/www.yumefx.com\/?p=4502"},"modified":"2022-02-09T13:42:11","modified_gmt":"2022-02-09T05:42:11","slug":"%e9%9a%90%e5%bc%8f%e6%9b%b2%e9%9d%a2%e4%b8%8e%e6%98%be%e5%bc%8f%e6%9b%b2%e9%9d%a2","status":"publish","type":"post","link":"https:\/\/www.yumefx.com\/?p=4502","title":{"rendered":"\u9690\u5f0f\u66f2\u9762\u4e0e\u663e\u5f0f\u66f2\u9762"},"content":{"rendered":"\n

\u524d\u8a00<\/h1>\n

\u51e0\u4f55\u5f62\u4f53\u662f\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u5f53\u4e2d\u5341\u5206\u91cd\u8981\u7684\u4e00\u90e8\u5206\u5185\u5bb9\uff0c\u5982\u4f55\u8868\u793a\u597d\u4eba\u7269\u3001\u666f\u7269\u3001\u5efa\u7b51\u7b49\u5404\u79cd\u5404\u6837\u7684\u6a21\u578b\u662f\u51e0\u4f55\u90e8\u5206\u7684\u4e3b\u8981\u7814\u7a76\u5185\u5bb9\u4e4b\u4e00\u3002\u672c\u6587\u4e3b\u8981\u4ecb\u7ecd\u9690\u5f0f\u66f2\u9762\u548c\u663e\u5f0f\u66f2\u9762\u7684\u7279\u70b9\uff0c\u4ee5\u53ca\u4e8c\u8005\u5206\u7c7b\u4e4b\u4e0b\u5404\u81ea\u4e3b\u8981\u7684\u51e0\u4f55\u8868\u73b0\u5f62\u5f0f\u3002<\/p>\n

\u00a0<\/h1>\n

\u9690\u5f0f\u66f2\u9762(Implicit Surface)<\/h1>\n

\u6240\u8c13\u9690\u5f0f\u66f2\u9762\u6307\u7684\u662f\u5e76\u4e0d\u4f1a\u5177\u4f53\u8868\u793a\u4efb\u4f55\u70b9\u7684\u4fe1\u606f\uff0c\u53ea\u4f1a\u7ed9\u51fa\u8be5\u66f2\u9762\u4e0a\u6240\u6709\u70b9\u6ee1\u8db3\u7684\u5173\u7cfb\u3002\u6765\u4e3e\u4e2a\u5177\u4f53\u7684\u9690\u5f0f\u66f2\u9762\u7684\u4f8b\u5b50:<\/p>\n

\"\"<\/p>\n

\u663e\u7136\u8fd9\u662f\u4e00\u4e2a\u534a\u5f84\u4e3a1\u7684\u4e09\u7ef4\u7403\u4f53\u7684\u65b9\u7a0b\uff0c\u4e00\u822c\u4f1a\u628a\u9690\u5f0f\u66f2\u9762\u7684\u4ee3\u6570\u65b9\u7a0b\u8bb0\u4f5c\u4ee5\u4e0b\u5f62\u5f0f\u3002<\/p>\n

\"\"<\/p>\n

\u800c\u8be5\u7403\u4f53\u7684\u8868\u793a\u65b9\u5f0f\u5c31\u662f<\/p>\n

\"\"<\/p>\n

\u5bf9\u4e8e\u9690\u5f0f\u65b9\u7a0b\u6765\u8bf4\u56e0\u4e3a\u6ca1\u6709\u7ed9\u51fa\u4efb\u4f55\u70b9\u7684\u4fe1\u606f\uff0c\u56e0\u6b64\u5982\u4f55\u91c7\u6837\u5230\u66f2\u9762\u4e0a\u5177\u4f53\u7684\u70b9\u662f\u4e00\u4e2a\u5f88\u96be\u7684\u95ee\u9898\uff0c\u5982\u4e0b\u56fe\u8fd9\u6837\u4e00\u4e2a\u4f8b\u5b50:<\/p>\n

\"\"<\/p>\n

\u522b\u8bf4\u627e\u51fa\u8fd9\u6837\u4e00\u4e2a\u5706\u73af\u4e0a\u7684\u70b9\u4e86\uff0c\u5982\u679c\u53ea\u77e5\u9053\u8fd9\u4e2a\u4ee3\u6570\u65b9\u7a0b\u90a3\u4e48\u8fde\u5b83\u8868\u73b0\u7684\u5f62\u72b6\u662f\u4ec0\u4e48\u90fd\u5f88\u96be\u5224\u65ad\u3002<\/p>\n

\u4f46\u53cd\u8fc7\u6765\u8bf4\uff0c\u9690\u5f0f\u66f2\u9762\u6709\u4e00\u4e2a\u51fa\u4f17\u7684\u4f18\u70b9\uff0c\u901a\u8fc7\u5c06\u70b9\u7684\u5750\u6807\u4ee3\u5165\u9690\u5f0f\u66f2\u9762\u65b9\u7a0b\uff0c\u53ef\u4ee5\u5341\u5206\u5bb9\u6613\u7684\u5224\u65ad\u51fa\u4e00\u70b9\u4e0e\u66f2\u9762\u7684\u5185\u5916\u5173\u7cfb\uff0c\u8fd9\u662f\u4e00\u79cd\u975e\u5e38\u5177\u6709\u5438\u5f15\u529b\u7684\u7279\u6027(\u80fd\u591f\u8f7b\u6613\u7684\u5224\u5b9a\u5149\u7ebf\u4e0e\u7269\u4f53\u662f\u5426\u76f8\u4ea4)\u3002<\/p>\n

\"\"<\/p>\n

\u4ee3\u6570\u66f2\u9762(Algebraic Surfaces)<\/b><\/h3>\n

\u524d\u9762\u7684\u4f8b\u5b50\u5c31\u5c5e\u4e8e\u4ee3\u6570\u66f2\u9762\uff0c\u4e5f\u5c31\u662f\u901a\u8fc7\u4ee3\u6570\u8868\u8fbe\u5f0f\u5f97\u5230\u7684\u51e0\u4f55\u66f2\u9762\uff0c\u663e\u7136\u66f2\u9762\u8d8a\u590d\u6742\uff0c\u4ee3\u6570\u8868\u8fbe\u5f0f\u4e5f\u8d8a\u590d\u6742\u3002<\/p>\n

\"\"<\/p>\n

\u4f46\u4f3c\u4e4e\u5355\u7eaf\u7528\u4ee3\u6570\u8868\u8fbe\u5f0f\u7684\u66f2\u9762\u90fd\u9887\u5177\u6709\u89c4\u5219\u6027\uff0c\u90a3\u4e48\u5bf9\u4e8e\u66f4\u590d\u6742\u7684\u51e0\u4f55\u5f62\u4f53\u600e\u4e48\u529e\u5462\uff1f \u6b64\u65f6CSG(Constructive Solid Geometry)\u4fbf\u5e94\u8fd0\u800c\u751f\u4e86\u3002<\/p>\n

\u00a0<\/h3>\n

\u6784\u9020\u7acb\u4f53\u51e0\u4f55(Constructive Solid Geometry)<\/b><\/h3>\n

CSG\u6307\u7684\u662f\u53ef\u4ee5\u5bf9\u5404\u79cd\u4e0d\u540c\u7684\u51e0\u4f55\u505a\u5e03\u5c14\u8fd0\u7b97\uff0c\u5982\u5e76\uff0c\u4ea4\uff0c\u5dee\uff1a<\/p>\n

\"\"<\/p>\n

\u901a\u8fc7\u8fd9\u4e9b\u64cd\u4f5c\u53ef\u4ee5\u5f97\u51fa\u5404\u79cd\u66f4\u4e3a\u590d\u6742\u7684\u51e0\u4f55:<\/p>\n

\"\"<\/p>\n

\u901a\u8fc7CSG\u7684\u65b9\u6cd5\u53ef\u4ee5\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u7f13\u89e3\u9690\u5f0f\u66f2\u9762\u96be\u4ee5\u8868\u73b0\u590d\u6742\u5f62\u4f53\u7684\u56f0\u5883 (\u8be5\u79cd\u65b9\u6cd5\u5e7f\u6cdb\u5b58\u5728\u4e8e\u5404\u7c7b\u5efa\u6a21\u8f6f\u4ef6\u4e4b\u4e2d)\u3002<\/p>\n

\u00a0<\/h3>\n

\u7b26\u53f7\u8ddd\u79bb\u51fd\u6570(Signed Distance Function)<\/b><\/h3>\n

\u9664\u4e86\u5bf9\u4e8e\u51e0\u4f55\u7684\u5e03\u5c14\u64cd\u4f5c\uff0c\u8fd8\u53ef\u4ee5\u901a\u8fc7\u8ddd\u79bb\u51fd\u6570\u6765\u5f97\u5230\u51e0\u4f55\u5f62\u4f53\u6df7\u5408\u7684\u6548\u679c\uff0c\u5982\u4e0b\u56fe:<\/p>\n

\"\"<\/p>\n

\u5982\u4f55\u5f97\u5230\u8fd9\u79cdblend\u7684\u6548\u679c\uff0c\u5c31\u8981\u4eceSDF\u5373\u7b26\u53f7\u8ddd\u79bb\u51fd\u6570\u8bf4\u8d77\u4e86(\u8fd9\u91cc\u7684\u7b26\u53f7\u662f\u6307\u8ddd\u79bb\u53ef\u4ee5\u6709\u6b63\u6709\u8d1f)\u3002<\/p>\n

\u9996\u5148\u5bf9\u4e8e\u7b26\u53f7\u8ddd\u79bb\u51fd\u6570\u6765\u8bf4\u672c\u8d28\u4e0a\u5c31\u662f\u4e00\u79cd\u5b9a\u4e49\u8ddd\u79bb\u7684\u51fd\u6570\u3002\u5982\u6709\u7a7a\u95f4\u4efb\u610f\u4e00\u70b9\u5230\u5404\u4e2a\u51e0\u4f55\u7269\u4f53\u8868\u9762\u7684\u8ddd\u79bb\uff0c\u5bf9\u8fd9\u4e9b\u8ddd\u79bb\u505a\u5404\u79cd\u5404\u6837\u7684\u8fd0\u7b97\u64cd\u4f5c\u6700\u540e\u5f97\u5230\u7684\u4e00\u4e2a\u51fd\u6570\u5c31\u662f\u6700\u7ec8\u7684\u8ddd\u79bb\u51fd\u6570\u4e86\uff0c\u4e3e\u4e00\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50:<\/p>\n

\"\"<\/p>\n

\u5bf9\u4e8e\u8fd9\u6837\u4e00\u4e2a\u4e8c\u7ef4\u5e73\u9762\u7684\u4f8b\u5b50\uff0c\u5b9a\u4e49\u7a7a\u95f4\u4e2d\u6bcf\u4e00\u4e2a\u70b9\u7684SDF\u4e3a\u8be5\u70b9\u5230\u9634\u5f71\u533a\u57df\u53f3\u8fb9\u754c\u7684\u5782\u76f4\u8ddd\u79bb\uff0c\u5728\u9634\u5f71\u5185\u90e8\u4e3a\u8d1f\uff0c\u5916\u90e8\u4e3a\u6b63\uff0c\u56e0\u6b64\u5bf9\u4e8eA\u548cB\u4e24\u79cd\u9634\u5f71\u6765\u8bf4\u7684SDF\u5206\u522b\u5982\u4e0a\u56fe\u4e0b\u534a\u90e8\u5206\u6240\u793a\u3002\u6709\u4e86SDF(A),SDF(B)\u4e4b\u540e\u5bf9\u8fd9\u4e24\u4e2a\u8ddd\u79bb\u51fd\u6570\u9009\u62e9\u6027\u7684\u505a\u4e00\u4e9b\u8fd0\u7b97\u5f97\u5230\u6700\u7ec8\u7684\u8ddd\u79bb\u51fd\u6570\uff0c\u8fd9\u91cc\u91c7\u7528\u6700\u7b80\u5355\u7684SDF = SDF(A)+SDF(B)\u6765\u4e3e\u4f8b\uff0c\u6700\u7ec8\u5f97\u5230\u7684SDF\u4e3a\u96f6\u7684\u70b9\u7684\u96c6\u5408\u5373\u4e3ablend\u4e4b\u540e\u66f2\u9762\uff0c\u5bf9\u8be5\u4f8b\u5b50\u6765\u8bf4\uff0c\u5c31\u662f\u4e24\u9053\u9634\u5f71\u4e4b\u95f4\u4e2d\u70b9\u7684\u4e00\u6761\u7ebf:<\/p>\n

\"\"<\/p>\n

\u5bf9\u4e8e\u4e00\u5f00\u59cb\u7684\u90a3\u4e2a\u4f8b\u5b50\u6765\u8bf4\uff0c\u53ea\u9700\u5408\u7406\u5b9a\u4e49\u7a7a\u95f4\u4e2d\u4efb\u610f\u4e00\u4e2a\u70b9\u7684SDF\uff0c\u518d\u4ee4SDF\u4e3a0\u5373\u53ef\u5f97\u5230\u6df7\u5408\u7684\u6548\u679c\u4e86\u3002<\/p>\n

\u9700\u8981\u6ce8\u610f\u7684\u7684\u662f\uff0c\u5bf9\u4e8e\u51e0\u4f55\u4f53\u7684\u6df7\u5408\u6548\u679c\u81ea\u7136\u4e0d\u53ef\u80fd\u50cf\u8fd9\u91cc\u7b80\u5355\u7684\u4e24\u4e2a\u8ddd\u79bb\u76f8\u52a0\u5c31\u53ef\u4ee5\u5f97\u5230\u4e86\uff0c\u8be5\u6548\u679c\u5177\u4f53\u5b9e\u73b0\u662f\u627e\u51fa\u4efb\u4e00\u4e2a\u70b9\u5230\u4e24\u4e2a\u51e0\u4f55\u4f53\u8868\u9762\u8ddd\u79bb\u4e2d\u7684\u6700\u77ed\u8ddd\u79bb\u518d\u51cf\u53bb\u4e00\u4e2a\u53d8\u91cf\u4f5c\u4e3a\u8be5\u70b9\u6700\u7ec8\u7684SDF\u3002<\/p>\n

\u56e0\u6b64SDF\u7279\u522b\u9002\u5408\u5236\u4f5c\u5149\u6ed1\u7684\u66f2\u9762\u878d\u5408\u6548\u679c\uff0c\u4f8b\u5982\u4e0b\u9762\u7684\u6a21\u578b\u3002<\/p>\n

\"\"<\/p>\n

\u00a0<\/h3>\n

\u6c34\u5e73\u96c6(Level Set)<\/h3>\n

\u6c34\u5e73\u96c6\u7684\u65b9\u6cd5\u5176\u5b9e\u4e0eSDF\u5f88\u50cf(\u50cf\u662fSDF\u7684\u4e00\u79cd\u7279\u6b8a\u5f62\u5f0f)\uff0c\u4e5f\u662f\u627e\u51fa\u51fd\u6570\u503c\u4e3a0\u7684\u5730\u65b9\u4f5c\u4e3a\u66f2\u7ebf\uff0c\u4f46\u4e0d\u50cfSDF\u4f1a\u7a7a\u95f4\u4e2d\u7684\u6bcf\u4e00\u4e2a\u70b9\u6709\u4e00\u79cd\u4e25\u683c\u7684\u6570\u5b66\u5b9a\u4e49\uff0c\u800c\u662f\u5bf9\u7a7a\u95f4\u7528\u4e00\u4e2a\u4e2a\u683c\u5b50\u53bb\u8fd1\u4f3c\u4e00\u4e2a\u51fd\u6570\uff0c\u5982\u4e0b:<\/p>\n

\"\"<\/p>\n

\u5bf9\u8be5\u9762\u5185\u7684\u6bcf\u4e00\u4e2a\u70b9\u5229\u7528\u5df2\u7ecf\u5b9a\u4e49\u597d\u7684\u683c\u5b50\u503c\u8fdb\u884c\u53cc\u7ebf\u6027\u63d2\u503c\u5c31\u53ef\u4ee5\u5f97\u5230\u4efb\u610f\u4e00\u70b9\u7684\u51fd\u6570\u503c\uff0c\u627e\u51fa\u6240\u6709=0\u7684\u70b9\u4f5c\u4e3a\u66f2\u9762\u3002<\/p>\n

\u8be5\u65b9\u6cd5\u7684\u597d\u5904\u662f\u5bf9\u4e8eSDF\uff0c\u6211\u4eec\u53ef\u4ee5\u66f4\u52a0\u663e\u5f0f\u7684\u53bb\u5b9a\u4e49\u7a7a\u95f4\u66f2\u7ebf\u7684\u5f62\u72b6\u3002\u8be5\u65b9\u6cd5\u5e7f\u6cdb\u7684\u8fd0\u7528\u5728\u533b\u5b66\u6210\u50cf\u548c\u7269\u7406\u6a21\u62df\u4e4b\u4e2d:<\/p>\n

\"\" \"\"<\/p>\n

\u00a0<\/h3>\n

\u5206\u578b\u51e0\u4f55(Fractals)<\/b><\/h3>\n

\u5206\u578b\u51e0\u4f55\u662f\u6307\u8bb8\u8bb8\u591a\u591a\u81ea\u76f8\u4f3c\u7684\u5f62\u4f53\u6700\u7ec8\u6240\u7ec4\u6210\u7684\u51e0\u4f55\u5f62\u72b6\u3002<\/p>\n

\u5982\u96ea\u82b1\u662f\u4e00\u4e2a\u516d\u8fb9\u5f62\uff0c\u653e\u5927\u4e4b\u540e\u4f1a\u53d1\u73b0\u6bcf\u4e00\u4e2a\u8fb9\u4e0a\u53c8\u662f\u4e00\u4e2a\u516d\u8fb9\u5f62\uff0c\u518d\u653e\u5927\u516d\u8fb9\u5f62\u8fb9\u4e0a\u7684\u516d\u8fb9\u5f62\u8fb9\u4e0a\u53c8\u662f\u516d\u8fb9\u5f62\uff0c\u5c31\u8fd9\u6837\u65e0\u9650\u5957\u5a03\uff0c\u6709\u70b9\u9012\u5f52\u7684\u610f\u601d\u3002<\/p>\n

\"\"<\/p>\n

\u00a0<\/h1>\n

\u663e\u5f0f\u66f2\u9762(Explicit Surface)<\/h1>\n

\u663e\u5f0f\u66f2\u9762\u6765\u8bf4\u662f\u4e0e\u9690\u5f0f\u66f2\u9762\u76f8\u5bf9\u5e94\u7684\uff0c\u6240\u6709\u66f2\u9762\u7684\u70b9\u88ab\u76f4\u63a5\u7ed9\u51fa\uff0c\u6216\u8005\u53ef\u4ee5\u901a\u8fc7\u6620\u5c04\u5173\u7cfb\u76f4\u63a5\u5f97\u5230\uff0c\u5982\u4e0b\u56fe:<\/p>\n

\"\"<\/p>\n

\u867d\u7136\u6ca1\u6709\u76f4\u63a5\u7ed9\u51fa\u70b9\u7684xyz\u5750\u6807\uff0c\u4f46\u662f\u62e5\u6709UV\u7684\u53d6\u503c\u8303\u56f4\u4ee5\u53ca\u4eceUV\u5750\u6807\u5230xyz\u5750\u6807\u7684\u6620\u5c04\u5173\u7cfb\uff0c\u90a3\u4e48\u53ea\u9700\u8981\u5c06\u6240\u6709\u7684UV\u5750\u6807\u4ee3\u5165\u81ea\u7136\u5c31\u53ef\u6c42\u5f97\u6bcf\u4e2a\u70b9\u7684xyz\u5750\u6807\u3002<\/p>\n

\u533a\u522b\u9690\u5f0f\u66f2\u9762\u4e0e\u663e\u793a\u66f2\u9762\u7684\u5173\u952e\u5c31\u5728\u4e8e\u662f\u5426\u53ef\u4ee5\u76f4\u63a5\u8868\u793a\u51fa\u6240\u6709\u7684\u70b9\u3002<\/strong><\/p>\n

\u524d\u9762\u8bf4\u5230\u9690\u5f0f\u66f2\u9762\u96be\u4ee5\u91c7\u6837\u66f2\u9762\u4e0a\u7684\u70b9\uff0c\u4f46\u662f\u53ef\u4ee5\u8f7b\u6613\u5224\u65ad\u70b9\u4e0e\u66f2\u9762\u7684\u5173\u7cfb\uff0c\u5bf9\u4e8e\u663e\u5f0f\u66f2\u9762\u6765\u8bf4\u6b63\u597d\u76f8\u53cd\uff0c\u53ef\u4ee5\u5f88\u8f7b\u6613\u7684\u91c7\u6837\u5230\u6240\u6709\u7684\u70b9\uff0c\u4f46\u662f\u7ed9\u4e88\u4efb\u610f\u4e00\u70b9\u5374\u5f88\u96be\u5224\u65ad\u5b83\u4e0e\u66f2\u9762\u7684\u5173\u7cfb\u3002<\/p>\n

\u56e0\u6b64\u4e0d\u80fd\u8bf4\u54ea\u4e00\u79cd\u7684\u51e0\u4f55\u8868\u73b0\u65b9\u5f0f\u66f4\u597d\uff0c\u6839\u636e\u5177\u4f53\u7684\u9700\u6c42\u6765\u9009\u62e9\u4f7f\u7528\u9690\u5f0f\u66f2\u9762\u6216\u8005\u663e\u5f0f\u66f2\u9762\u624d\u662f\u5408\u7406\u7684\u505a\u6cd5\u3002<\/p>\n

\u00a0<\/h3>\n

\u70b9\u4e91(Point Cloud)<\/b><\/h3>\n

\"\"<\/p>\n

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\u00a0<\/h3>\n

\u591a\u8fb9\u5f62\u7f51\u683c(Polygon Mesh)<\/b><\/h3>\n

\"\"<\/p>\n

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\u4f8b\u5982\u6bd4\u8f83\u8457\u540d\u7684.obj\u6587\u4ef6\uff0c\u5176\u683c\u5f0f\u5982\u4e0b<\/p>\n

\"\"<\/p>\n

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3-10\u884c\u5b9a\u4e49\u4e86\u7acb\u65b9\u4f53\u76848\u4e2a\u9876\u70b9\u4fe1\u606f\u3002 12-25\u884c\u5b9a\u4e49\u4e86\u8fd9\u4e9b\u9876\u70b9\u7684\u7eb9\u7406\u5750\u6807\u4fe1\u606f(\u6bcf\u4e2a\u97624\u4e2a\u70b9\uff0c\u51716\u4e2a\u9762\u6240\u4ee5\u6700\u591a\u670924\u79cd\u4e0d\u540c\u7684\u7eb9\u7406\u5750\u6807\u4fe1\u606f\uff0c\u8fd9\u91cc\u6709\u4e00\u4e9b\u7eb9\u7406\u5bf9\u4e8e\u4e0d\u540c\u9762\u4e0a\u7684\u70b9\u662f\u5171\u7528\u7684)\u3002 27-34\u884c\u5b9a\u4e49\u4e866\u4e2a\u9762\u7684\u6cd5\u7ebf\u4fe1\u606f\uff0c\u4e3a\u4ec0\u4e48\u67098\u4e2a\u662f\u56e0\u4e3a\u5efa\u6a21\u8f6f\u4ef6\u8f93\u51fa\u7684\u7cbe\u5ea6\u95ee\u9898\u4e0d\u5fc5\u5728\u610f\uff0c\u5176\u4e2d\u6709\u4e24\u4e2a\u662f\u91cd\u590d\u7684\u3002<\/p>\n

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\u00a0<\/p>\n

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\n\n\n\n

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