{"id":4593,"date":"2022-02-16T22:45:00","date_gmt":"2022-02-16T14:45:00","guid":{"rendered":"https:\/\/www.yumefx.com\/?p=4593"},"modified":"2022-02-17T09:48:19","modified_gmt":"2022-02-17T01:48:19","slug":"%e6%9b%b2%e9%9d%a2%e7%bb%86%e5%88%86%e4%b8%8e%e6%9b%b2%e9%9d%a2%e7%ae%80%e5%8c%96","status":"publish","type":"post","link":"https:\/\/www.yumefx.com\/?p=4593","title":{"rendered":"\u66f2\u9762\u7ec6\u5206\u4e0e\u66f2\u9762\u7b80\u5316"},"content":{"rendered":"\n

\u524d\u8a00<\/h1>\n

\u66f2\u9762\u7ec6\u5206\u662f\u6307\u5c06\u4e00\u4e2a\u6a21\u578b\u7684\u9762\u5408\u7406\u7684\u5206\u6210\u66f4\u591a\u5c0f\u7684\u9762\u5e76\u76f8\u5e94\u8c03\u6574\u4f4d\u7f6e\uff0c\u4ece\u800c\u5f97\u5230\u66f4\u52a0\u5e73\u6ed1\u7684\u6a21\u578b\uff0c\u901a\u8fc7\u66f4\u9ad8\u7684\u6a21\u578b\u7cbe\u5ea6\u63d0\u5347\u6e32\u67d3\u6548\u679c\u3002<\/p>\n

\"\"<\/p>\n

\u66f2\u9762\u7b80\u5316\u662f\u6307\u5c06\u4e00\u4e2a\u6a21\u578b\u7684\u9762\u5408\u7406\u7684\u5408\u5e76\u6210\u66f4\u5c11\u7684\u9762\uff0c\u4ece\u800c\u5728\u4fdd\u8bc1\u6a21\u578b\u6574\u4f53\u7ed3\u6784\u7684\u540c\u65f6\u964d\u4f4e\u6a21\u578b\u7cbe\u5ea6\uff0c\u5728\u7279\u5b9a\u60c5\u5f62\u4e0b\u52a0\u5feb\u6e32\u67d3\u901f\u5ea6\u4f7f\u7528(\u5982\u901a\u8fc7LOD\u6280\u672f\u51cf\u5c11\u8fdc\u5904\u7684\u590d\u6742\u6a21\u578b\u53c2\u4e0e\u6e32\u67d3\u8ba1\u7b97\u7684\u9762\u6570)\u3002<\/p>\n

\"\"<\/p>\n

\u9664\u4e86\u7ec6\u5206\u4e0e\u7b80\u5316\u4e4b\u5916\uff0c\u8fd8\u6709\u53e6\u5916\u4e00\u79cd\u540c\u5c5e\u4e00\u7c7b\u7684\u64cd\u4f5c\u53eb\u505a\u66f2\u9762\u89c4\u5219\u5316\uff08Mesh Regularization\uff09\uff0c\u5176\u6240\u4f5c\u7684\u4fbf\u662f\u5728\u5c3d\u91cf\u5c11\u4e22\u5931\u7ec6\u8282\u4e0b\u5c06\u4e09\u89d2\u9762\u90fd\u53d8\u6210\u5927\u5c0f\u76f8\u8fd1\u7684\u6b63\u4e09\u89d2\u5f62\uff0c\u4ece\u800c\u4f18\u5316\u6e32\u67d3\u6548\u679c\u7684\u76ee\u7684\uff0c\u5bf9\u4e8e\u8be5\u7c7b\u6280\u672f\u672c\u6587\u4e0d\u505a\u8be6\u89e3\u3002<\/p>\n

\"\"<\/p>\n

 <\/h1>\n

\u66f2\u9762\u7ec6\u5206(subdivision)<\/h1>\n

Loop\u7ec6\u5206(Loop Subdivision)<\/b><\/h3>\n

Loop\u7ec6\u5206\u662f\u4e00\u79cd\u4e13\u95e8\u9488\u5bf9\u4e09\u89d2\u5f62\u9762\u7684\u7ec6\u5206\u65b9\u6cd5\uff0c\u5176\u6838\u5fc3\u6b65\u9aa4\u4e5f\u5341\u5206\u5bb9\u6613\u7406\u89e3\u3002\u6ce8\u610fLoop\u662f\u53d1\u660e\u8fd9\u79cd\u7b97\u6cd5\u7684\u4eba\u7684\u59d3\u6c0f\uff0c\u4e0d\u662f\u5faa\u73af\u7684\u610f\u601d\u3002<\/p>\n

1 \u751f\u6210\u66f4\u591a\u9876\u70b9\u548c\u4e09\u89d2\u5f62<\/b><\/p>\n

\"\"<\/p>\n

\u5982\u56fe\u6240\u793a\uff0c\u5728\u6bcf\u6761\u8fb9\u7684\u4e2d\u70b9\u5904\u751f\u6210\u65b0\u7684\u9876\u70b9\uff0c\u5e76\u8fde\u63a5\u6bcf\u6761\u8fb9\u7684\u4e2d\u70b9\u751f\u6210\u4e00\u4e2a\u65b0\u7684\u4e09\u89d2\u5f62\uff0c\u539f\u6765\u7684\u4e09\u89d2\u5f62\u5c31\u4f1a\u88ab\u5206\u5272\u62104\u4e2a\u4e09\u89d2\u5f62\u3002<\/p>\n

2 \u8c03\u6574\u9876\u70b9\u7684\u4f4d\u7f6e<\/b><\/p>\n

\u5c06\u6240\u6709\u7684\u9876\u70b9\u5206\u4e3a\u4e24\u7c7b\uff0c\u4e00\u7c7b\u662f\u65b0\u751f\u6210\u7684\u9876\u70b9\uff0c\u4e00\u7c7b\u662f\u539f\u6765\u5c31\u6709\u7684\u65e7\u9876\u70b9\uff0c\u5bf9\u4e8e\u65b0\u751f\u6210\u7684\u9876\u70b9\u505a\u5982\u4e0b\u5904\u7406\uff1a<\/p>\n

\"\"<\/p>\n

\u8fd9\u91cc\u65b0\u7684\u9876\u70b9\u5c31\u662f\u767d\u8272\u7684\u90a3\u4e2a\u9876\u70b9\uff0c\u4f1a\u88ab\u4e24\u4e2a\u539f\u6765\u7684\u4e09\u89d2\u5f62\u6240\u5171\u4eab\uff0c\u5c06\u5171\u4eab\u9876\u70b9\u6240\u5728\u7684\u8fd9\u6761\u8fb9\u4e24\u7aef\u7684\u4e24\u4e2a\u65e7\u7684\u9876\u70b9\u5206\u522b\u5b9a\u4e49\u4e3aA\u3001B\uff0c\u8fd9\u4e24\u4e2a\u4e09\u89d2\u5f62\u4e0d\u5171\u8fb9\u7684\u4e24\u4e2a\u9876\u70b9\u5206\u522b\u5b9a\u4e49\u4e3aC\u3001D\uff0c\u7136\u540e\u5c06\u5171\u4eab\u9876\u70b9\uff08\u4e0a\u56fe\u767d\u8272\u70b9\uff09\u7684\u4f4d\u7f6e\u8c03\u6574\u4e3a3\/8 * (A + B) + 1\/8 * (C + D)\u5373\u53ef\uff08\u8fd9\u4e2a\u516c\u5f0f\u5176\u5b9e\u5c31\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u52a0\u6743\u5e73\u5747\uff0cA\u548cB\u79bb\u5171\u4eab\u9876\u70b9\u8fd1\u4e00\u4e9b\uff0c\u6240\u4ee5\u5360\u7684\u6bd4\u4f8b\u76f8\u5bf9\u8f83\u5927\uff0c\u800cC\u548cD\u79bb\u5171\u4eab\u9876\u70b9\u8fdc\u4e00\u4e9b\uff0c\u6240\u4ee5\u5360\u7684\u6bd4\u4f8b\u76f8\u5bf9\u8f83\u5c0f\uff09\u3002<\/p>\n

\u5bf9\u4e8e\u65e7\u7684\u9876\u70b9\uff0c\u505a\u5982\u4e0b\u5904\u7406\uff1a<\/p>\n

\"\"<\/p>\n

\u5bf9\u4e8e\u65e7\u7684\u9876\u70b9\uff08\u5982\u4e0a\u56fe\u767d\u8272\u70b9\uff09\uff0c\u5468\u56f4\u7684\u65e7\u9876\u70b9\u4f1a\u5bf9\u8fd9\u4e2a\u9876\u70b9\u6709\u4e00\u5b9a\u7684\u5f71\u54cd\u3002Loop\u7ec6\u5206\u89c4\u5b9a\u8fd9\u4e2a\u8981\u8ba1\u7b97\u7684\u65e7\u9876\u70b9\uff08\u4e0a\u56fe\u767d\u8272\u70b9\uff09\u4e00\u90e8\u5206\u53d7\u5468\u56f4\u65e7\u9876\u70b9\u7684\u5f71\u54cd\uff0c\u4e00\u90e8\u5206\u4fdd\u6301\u81ea\u5df1\u7684\u4f4d\u7f6e\u5c5e\u6027\u3002<\/p>\n

\u5728\u8fd9\u91cc\u6211\u4eec\u5b9a\u4e49\u4e00\u4e2an\uff0c\u4e3a\u9876\u70b9\u7684\u5ea6\uff08\u8fd9\u4e2a\u9876\u70b9\u8fde\u63a5\u7684\u8fb9\u7684\u6570\u91cf\uff09\uff0c\u518d\u5b9a\u4e49\u4e00\u4e2au\uff0c\u8fd9\u4e2au\u4ec5\u4ec5\u662f\u4e00\u4e2a\u4e0e\u9876\u70b9\u7684\u5ea6\u6709\u5173\u7684\u6570\u3002\u6700\u7ec8\u7684\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n

(1 – n*u) * original_position + u * neighbor_position_sum<\/p>\n

\u4ece\u8fd9\u4e2a\u516c\u5f0f\u53ef\u4ee5\u770b\u5230\uff0c\u5f53\u9876\u70b9\u7684\u5ea6\u5f88\u5927\uff08\u8fde\u63a5\u4e86\u5f88\u591a\u4e09\u89d2\u5f62\uff09\uff0c\u90a3\u4e48\u8fd9\u4e2a\u9876\u70b9\u57fa\u672c\u5c31\u53ef\u4ee5\u7531\u5468\u56f4\u7684\u65e7\u9876\u70b9\u51b3\u5b9a\u4f4d\u7f6e\uff0c\u5f53\u9876\u70b9\u7684\u5ea6\u5f88\u5c0f\uff08\u8fde\u63a5\u7684\u4e09\u89d2\u5f62\u5f88\u5c11\uff09\uff0c\u90a3\u4e48\u8fd9\u4e2a\u9876\u70b9\u539f\u6765\u4f4d\u7f6e\u7684\u6743\u91cd\u5c31\u4f1a\u5f88\u5927\u3002<\/p>\n

\u4ee5\u4e0a\u5c31\u662fLoop\u7ec6\u5206\u7684\u5168\u8fc7\u7a0b\u4e86\uff0c\u6700\u540e\u770b\u770b\u6548\u679c\uff1a (\u8fd9\u662f\u4e00\u4e2a\u4e0d\u65ad\u8fdb\u884cLoop\u7ec6\u5206\u7684\u4f8b\u5b50)<\/p>\n

\"\"<\/p>\n

 <\/h3>\n

Catmull-Clark\u7ec6\u5206(Catmull-Clark Subdivision)<\/b><\/h3>\n

\u6b63\u5982\u4e0a\u6587\u6240\u8bf4Loop\u7ec6\u5206\u9488\u5bf9\u662f\u6240\u6709\u4e09\u89d2\u5f62\u9762\uff0c\u90a3\u4e48\u5bf9\u4e8e\u4e0d\u4ec5\u4ec5\u53ea\u6709\u4e09\u89d2\u5f62\u9762\u8be5\u600e\u4e48\u529e\u5462\uff1f\u8fd9\u4e5f\u5c31\u6709\u4e86Catmull-Clark\u7ec6\u5206\uff0c\u8fd9\u91cc\u4ee5\u56db\u8fb9\u5f62\u9762\u548c\u4e09\u89d2\u9762\u7684\u6df7\u5408\u4e3a\u4f8b\uff1a \u9996\u5148\u505a\u4e00\u4e9b\u5b9a\u4e49\uff1a<\/p>\n

\"\"<\/p>\n

1 \u5bf9\u4e8e\u6240\u6709\u4e0d\u662f\u56db\u8fb9\u5f62\u7684\u9762\uff0c\u79f0\u4e4b\u4e3aNon-quad face<\/b><\/p>\n

2 \u6240\u6709\u5ea6\u4e0d\u4e3a4\u7684\u9876\u70b9\u79f0\u4e4b\u4e3a\u5947\u5f02\u70b9<\/b><\/p>\n

3 \u6bcf\u6b21\u7ec6\u5206\u6b65\u9aa4\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5728\u6bcf\u4e2a\u9762\u4e2d\u5fc3\u90fd\u6dfb\u52a0\u4e00\u4e2a\u9876\u70b9\uff0c\u5728\u6bcf\u6761\u8fb9\u7684\u4e2d\u70b9\u4e5f\u90fd\u6dfb\u52a0\u4e00\u4e2a\u70b9\uff0c\u9762\u4e2d\u5fc3\u7684\u65b0\u9876\u70b9\u8fde\u63a5\u6240\u6709\u8fb9\u4e0a\u7684\u65b0\u9876\u70b9\uff0c\u7ed3\u679c\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/b><\/p>\n

\"\"<\/p>\n

\n
\n

\u8003\u8651\u53f3\u4e0b\u89d2\u51e0\u4e2a\u95ee\u9898\uff0c\u5176\u5b9e\u4e5f\u662f\u4e00\u4e9bCatmull-Clark\u7ec6\u5206\u7684\u7279\u70b9<\/p>\n

1 \u6709\u51e0\u4e2a\u975e\u56db\u8fb9\u5f62\u9762\uff0c\u5c31\u4f1a\u591a\u51fa\u51e0\u4e2a\u5947\u5f02\u70b9\uff0c\u6240\u4ee5\u73b0\u5728\u4e00\u5171\u67092+2 = 4\u4e2a<\/b><\/p>\n

2 \u65b0\u591a\u51fa\u6765\u7684\u5947\u5f02\u70b9\u7684\u5ea6\u6570\u4e0e\u539f\u6765\u6240\u5728\u9762\u7684\u8fb9\u6570\u76f8\u7b49\uff0c\u5982\u8fd9\u91cc\u5c31\u662f3\u5ea6<\/b><\/p>\n

3 \u7b2c\u4e00\u6b21\u7ec6\u5206\u4e4b\u540e\u6240\u6709\u9762\u90fd\u4f1a\u53d8\u6210\u56db\u8fb9\u5f62\uff0c\u4e14\u5f80\u540e\u5947\u5f02\u70b9\u6570\u76ee\u4e0d\u518d\u589e\u52a0<\/b><\/p>\n

\u8fd9\u91cc\u7ed9\u51fa\u4e00\u4e2a\u518d\u4e00\u6b21\u7ec6\u5206\u7684\u7ed3\u679c\uff1a<\/p>\n<\/div>\n\"\"<\/div>\n

\u53ef\u4ee5\u770b\u5230\u5947\u5f02\u70b9\u4f9d\u7136\u662f4\u4e2a\uff0c\u4e0d\u518d\u6539\u53d8\u3002<\/p>\n

\u4ee5\u4e0a\u6211\u4eec\u660e\u767d\u4e86\u5982\u4f55\u589e\u52a0\u65b0\u9876\u70b9\uff0c\u4e0eLoop\u7ec6\u5206\u7c7b\u4f3c\uff0c\u540c\u6837\u9700\u8981\u53bb\u8c03\u6574\u5404\u7c7b\u9876\u70b9\u7684\u4f4d\u7f6e\uff0c\u8fd9\u91cc\u5c06\u6240\u6709\u9876\u70b9\u7684\u66f4\u65b0\u5206\u4e3a\u4e09\u79cd\uff0c\u7b2c\u4e00\u79cd\u662f\u5bf9\u4e8e\u9762\u7684\u4e2d\u5fc3\u70b9f\u7684\u66f4\u65b0\uff0c\u7b2c\u4e8c\u79cd\u662f\u5bf9\u4e8e\u8fb9\u7684\u4e2d\u5fc3\u70b9e\u7684\u66f4\u65b0\uff0c\u7b2c\u4e09\u79cd\u662f\u5bf9\u4e8e\u8001\u7684\u9876\u70b9v\u7684\u66f4\u65b0\u3002<\/p>\n

\u5bf9\u4e8e\u5404\u7c7b\u9876\u70b9\u4f4d\u7f6e\u8c03\u6574\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\n

\"\"<\/p>\n

Loop\u7ec6\u5206 V.S Catmull-Clark\u7ec6\u5206\uff1a<\/p>\n

\"\"<\/p>\n

 <\/h2>\n

\u66f2\u9762\u7b80\u5316(Smplication)<\/h1>\n

\"\"<\/p>\n

\u66f2\u9762\u7b80\u5316\u6240\u5229\u7528\u7684\u4e00\u4e2a\u65b9\u6cd5\u53eb\u505a\u8fb9\u574d\u7f29\uff0c\u5982\u4e0b\u56fe\u6240\u793a\u5c31\u662f\u5c06\u4e00\u6761\u8fb9\u7684\u4e24\u4e2a\u9876\u70b9\u5408\u6210\u4e3a\u4e00\u4e2a\u9876\u70b9\u3002<\/p>\n

\"\"<\/p>\n

\n
\n

\u4f46\u968f\u4e4b\u800c\u6765\u7684\u95ee\u9898\u5c31\u662f\uff0c\u66f2\u9762\u7b80\u5316\u9700\u8981\u5c3d\u91cf\u4fdd\u6301\u539f\u672c\u6a21\u578b\u7684\u57fa\u672c\u8f6e\u5ed3\uff0c\u5982\u4f55\u574d\u7f29\u4e00\u6761\u8fb9\uff0c\u6216\u8005\u8bf4\u574d\u7f29\u54ea\u4e00\u6761\u8fb9\u80fd\u591f\u4f7f\u5f97\u539f\u6a21\u578b\u6837\u8c8c\u88ab\u6539\u53d8\u7684\u7a0b\u5ea6\u6700\u5c0f\uff0c\u8fd9\u5c31\u662f\u66f2\u9762\u7b80\u5316\u7684\u5173\u952e\u6240\u5728\u3002<\/p>\n

\u4e3a\u6b64\u5f15\u5165\u4e00\u4e2a\u5ea6\u91cf\uff0c\u5373\u4e8c\u6b21\u8bef\u5dee\u5ea6\u91cf(Quadric Error Metrics)\u3002<\/p>\n

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

\n
\n

\u628a\u8fd9\u4e2a\u65b0\u751f\u6210\u7684\u9876\u70b9\u653e\u7f6e\u5728\u67d0\u4e2a\u4f4d\u7f6e\u4e0a\uff0c\u4f7f\u5f97\u8fd9\u4e2a\u9876\u70b9\u5230\u539f\u6765\u76f8\u5173\u8054\u7684\u5404\u4e2a\u9762\u7684\u8ddd\u79bb\u7684\u5e73\u65b9\u548c\u8fbe\u5230\u6700\u5c0f\uff08\u4e0a\u56fe\u4e2d\u7684\u8fb9\u4ee3\u8868\u4e09\u89d2\u9762\uff09\u3002\u5982\u679c\u80fd\u591f\u4f7f\u5f97\u8fd9\u4e2a\u8bef\u5dee\u6700\u5c0f\u90a3\u4e48\u5bf9\u6574\u4e2a\u6a21\u578b\u6837\u8c8c\u4fee\u6539\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u4e5f\u4f1a\u8f83\u5c0f\u3002<\/p>\n

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1 \u4e3a\u6a21\u578b\u6bcf\u6761\u8fb9\u8d4b\u503c\uff0c\u5176\u503c\u4e3a\u574d\u7f29\u8fd9\u6761\u8fb9\u4e4b\u540e\uff0c\u4ee3\u66ff\u4e24\u4e2a\u8001\u9876\u70b9\u7684\u65b0\u9876\u70b9\u6240\u80fd\u5f97\u5230\u7684\u6700\u5c0f\u4e8c\u6b21\u8bef\u5dee\u5ea6\u91cf\u3002<\/b><\/p>\n

2 \u9009\u53d6\u6743\u503c\u6700\u5c0f\u7684\u8fb9\u505a\u574d\u7f29\uff0c\u65b0\u9876\u70b9\u4f4d\u7f6e\u4e3a\u539f\u6765\u8ba1\u7b97\u5f97\u51fa\u4f7f\u5f97\u4e8c\u6b21\u8bef\u5dee\u6700\u5c0f\u7684\u4f4d\u7f6e\u3002<\/b><\/p>\n

3 \u574d\u7f29\u5b8c\u4e4b\u540e\uff0c\u4e0e\u4e4b\u76f8\u8fde\u5176\u4ed6\u7684\u8fb9\u7684\u4f4d\u7f6e\u4f1a\u6539\u52a8\uff0c\u66f4\u65b0\u8fd9\u4e9b\u8fb9\u7684\u6743\u503c\u3002<\/b><\/p>\n

4 \u91cd\u590d\u4e0a\u8ff0\u6b65\u9aa4\uff0c\u76f4\u5230\u5230\u8fbe\u7ec8\u6b62\u6761\u4ef6<\/b><\/p>\n

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

 <\/p>\n

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\n\n\n\n

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\u5c31\u53ef\u4ee5\u5fcd\u53d7\u4efb\u4f55\u4e00\u79cd\u751f\u6d3b\u3002<\/p>\n

\u2014\u2014\u5c3c\u91c7<\/p>\n","protected":false},"excerpt":{"rendered":"

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