{"id":484,"date":"2007-04-04T18:28:26","date_gmt":"2007-04-04T10:28:26","guid":{"rendered":"http:\/\/127.0.0.1\/website_linux\/blog\/?p=484"},"modified":"2007-04-04T18:28:26","modified_gmt":"2007-04-04T10:28:26","slug":"%e5%9f%ba%e4%ba%8emc%e7%ae%97%e6%b3%95%e7%9a%84mems%e5%85%89%e5%88%bb%e4%bb%bf%e7%9c%9f%e7%9a%84%e4%b8%89%e7%bb%b4%e9%87%8d%e5%bb%ba%e6%96%b9%e6%b3%95%e7%a0%94%e7%a9%b6","status":"publish","type":"post","link":"https:\/\/opgogo.com\/blog2\/?p=484","title":{"rendered":"\u57fa\u4e8eMC\u7b97\u6cd5\u7684MEMS\u5149\u523b\u4eff\u771f\u7684\u4e09\u7ef4\u91cd\u5efa\u65b9\u6cd5\u7814\u7a76"},"content":{"rendered":"

<\/p>\n

Flash<\/p>\n

\u07f2<\/p>\n

\u70b9\u51fb\u4e0b\u8f7d\u6b64\u6587\u4ef6\uff1aDOC\u683c\u5f0f<\/p>\n

\u70b9\u51fb\u4e0b\u8f7d\u6b64\u6587\u4ef6\uff1aPDF\u683c\u5f0f<\/p>\n

\u57fa\u4e8eMC\u7b97\u6cd5\u7684MEMS\u5149\u523b\u4eff\u771f\u7684\u4e09\u7ef4\u91cd\u5efa\u65b9\u6cd5\u7814\u7a76
\n\u738b\u6653\u4e1c, \u8303\u660e\u806a, \u6c88\u8fde\u5a60
\n\u4e2d\u56fd\u79d1\u5b66\u6280\u672f\u5927\u5b66 \u7cbe\u5bc6\u673a\u68b0\u4e0e\u7cbe\u5bc6\u4eea\u5668\u7cfb,\u5408\u80a5 230027<\/p>\n

\u6458 \u8981: \u4ee5MC\uff08marching cubes\uff09\u7b97\u6cd5\u4e3a\u57fa\u7840\uff0c\u63d0\u51fa\u4e86\u4e00\u79cd\u8865\u5168\u91cd\u5efa\u540e\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u8868\u9762\u51fa\u73b0\u7a7a\u6d1e\u7684\u65b9\u6cd5\uff0c\u4f7f\u7528\u8be5\u65b9\u6cd5\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u5177\u6709\u5b8c\u6574\u7684\u5916\u8868\u9762\u548c\u826f\u597d\u7684\u53ef\u89c6\u5316\u6548\u679c\u3002\u63d0\u51fa\u4e86\u4e00\u79cd\u4e09\u7ef4\u91cd\u5efa\u65f6\u5bf9\u591a\u4e2a\u5f62\u4f53\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\u7684\u65b0\u65b9\u6cd5\uff0c\u8be5\u65b9\u6cd5\u4ee5MC\u7b97\u6cd5\u4e3a\u57fa\u7840\uff0c\u5c06\u4e09\u7ef4\u91cd\u5efa\u548c\u5e03\u5c14\u8fd0\u7b97\u76f8\u7ed3\u5408\uff0c\u53ef\u4ee5\u7b80\u5355\u3001\u65b9\u4fbf\u3001\u9ad8\u6548\u7684\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\u65f6\u7684\u5e03\u5c14\u8fd0\u7b97\u3002\u53e6\u5916\u8fd8\u4ecb\u7ecd\u4e86\u4e09\u7ef4\u91cd\u5efa\u540e\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u7684\u6587\u4ef6\u8f93\u51fa\u683c\u5f0f\u3002
\n\u5173\u952e\u8bcd: marching cubes\uff1b\u4e09\u7ef4\u91cd\u5efa\uff1b\u7a7a\u6d1e\u8865\u5168\uff1b\u5e03\u5c14\u8fd0\u7b97\uff1b\u6587\u4ef6\u8f93\u51fa
\n\u6587\u732e\u6807\u793a\u7801: A \u4e2d\u56fe\u5206\u7c7b\u53f7: TP301.6<\/p>\n

3D Reconstruction, Boolean Operation and File Export based on MC Algorithm
\nWANG Xiao-dong, FAN Ming-cong, SHEN Lian-guan
\nDepartment of Precision Machinery and Precision Instrumentation, University of Science and Technology of China, Hefei 230027, China<\/p>\n

Abstract: Based on MC (marching Cubes) algorithm, this paper applied a method that can cap holes in the object surfaces generated by 3D reconstruction. The object generated by this method has complete outer surfaces and good visual effects. This paper applied a new method that can do Boolean operations between several objects in 3D reconstruction, the method bases on MC algorithm, combines 3D reconstruction and Boolean operation, can simply, conveniently and efficiently do Boolean operation in 3D reconstruction. This paper also introduced file export format for objects generated by 3D reconstruction.
\nKeywords: marching cubes; 3D reconstruction; cap holes; Boolean operation; file export<\/p>\n

1 \u5f15\u8a00
\n\u81ea20\u4e16\u7eaa90\u5e74\u4ee3\u4ee5\u6765\uff0c\u7efc\u5408\u4e86\u8ba1\u7b97\u673a\u56fe\u50cf\u5904\u7406\u4e0e\u5206\u6790\u3001\u771f\u5b9e\u611f\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u3001\u865a\u62df\u73b0\u5b9e\u7b49\u6280\u672f\u7684\u4e09\u7ef4\u91cd\u5efa\u548c\u53ef\u89c6\u5316\u6280\u672f\u4e00\u76f4\u662f\u56fd\u5185\u5916\u7814\u7a76\u4e0e\u5e94\u7528\u7684\u70ed\u70b9\u3002\u4e09\u7ef4\u91cd\u5efa\u901a\u8fc7\u5904\u7406\u4e8c\u7ef4\u56fe\u50cf\u5e8f\u5217\u6216\u8005\u4e09\u7ef4\u6570\u636e\u70b9\u4e91\uff0c\u751f\u6210\u4e09\u7ef4\u5f62\u4f53\uff0c\u4f7f\u91cd\u5efa\u540e\u7684\u4e09\u7ef4\u5f62\u4f53\u80fd\u771f\u5b9e\u5730\u518d\u73b0\u7269\u4f53\u7684\u8868\u9762\u8f6e\u5ed3\uff0c\u6539\u5584\u53ef\u89c6\u5316\u7684\u8d28\u91cf\u3002[1,2]
\n\u6211\u4eec\u5f00\u53d1\u7684MEMS\uff08Micro Electromechanical System\uff0c\u5373\u5fae\u7535\u5b50\u673a\u68b0\u7cfb\u7edf\uff09\u5149\u523b\u4eff\u771f\u8f6f\u4ef6\u5927\u91cf\u5e94\u7528\u4e86\u4e09\u7ef4\u91cd\u5efa\u4e0e\u53ef\u89c6\u5316\u6280\u672f\uff0c\u7528\u6765\u663e\u793aMEMS\u5668\u4ef6\u7684\u7acb\u4f53\u56fe\u5f62\u548c\u4eff\u771f\u8fd0\u7b97\u7ed3\u679c\u3002\u8f6f\u4ef6\u7684\u7cfb\u7edf\u7ed3\u6784\u5982\u56fe1\u6240\u793a\uff1a\u5bf9\u63a9\u819c\u56fe\u5f62\u8fdb\u884c\u5149\u5b66\u8ba1\u7b97\uff0c\u5f97\u5230\u7406\u60f3\u7684MEMS\u5668\u4ef6\u7acb\u4f53\u56fe\u5f62\u548c\u5149\u523b\u80f6\u5185\u90e8\u7684\u5149\u5f3a\u5206\u5e03\uff1b\u5bf9\u5149\u523b\u80f6\u5185\u90e8\u7684\u5149\u5f3a\u5206\u5e03\u6570\u636e\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\uff0c\u5f97\u5230MEMS\u5668\u4ef6\u7684\u4eff\u771f\u7acb\u4f53\u56fe\u5f62\uff1b\u7406\u60f3\u7684MEMS\u5668\u4ef6\u7acb\u4f53\u56fe\u5f62\u548cMEMS\u5668\u4ef6\u7684\u4eff\u771f\u56fe\u5f62\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\uff0c\u53ef\u4ee5\u6c42\u51fa\u4e24\u8005\u4e4b\u95f4\u7684\u5f62\u72b6\u8bef\u5dee\u3002\u53ef\u89c1\u8f6f\u4ef6\u91cd\u70b9\u5305\u542b\u4e86\u4e24\u4e2a\u6a21\u5757\uff0c\u5373\u5149\u5b66\u8ba1\u7b97\u6a21\u5757\u548c\u53ef\u89c6\u5316\u6a21\u5757\uff0c\u53ef\u89c6\u5316\u6a21\u5757\u91cd\u70b9\u5b9e\u73b0\u4e86\u4e09\u7ef4\u91cd\u5efa\u548c\u5e03\u5c14\u8fd0\u7b97\u7684\u529f\u80fd\u3002MC\uff08Marching Cubes\uff0c\u79fb\u52a8\u7acb\u65b9\u4f53\uff09\u7b97\u6cd5\u662f\u4e09\u7ef4\u91cd\u5efa\u4e2d\u6784\u9020\u7b49\u503c\u9762\u7684\u65b9\u6cd5\u91cc\u6700\u5177\u4ee3\u8868\u6027\u7684\u65b9\u6cd5\u4e4b\u4e00\uff0c\u5728\u8f6f\u4ef6\u7684\u53ef\u89c6\u5316\u6a21\u5757\u4e2d\uff0c\u6211\u4eec\u5c31\u662f\u4ee5MC\u7b97\u6cd5\u4e3a\u57fa\u7840\uff0c\u6765\u5b9e\u73b0\u4e09\u7ef4\u91cd\u5efa\u548c\u5e03\u5c14\u8fd0\u7b97\u529f\u80fd\u7684\u3002<\/p>\n

\u56fe1 MEMS\u5149\u523b\u4eff\u771f\u8f6f\u4ef6\u7684\u7cfb\u7edf\u7ed3\u6784
\nMC\u7b97\u6cd5\u4e3b\u8981\u7528\u6765\u7ed8\u5236\u7b49\u503c\u9762\uff0c\u5f53\u7b49\u503c\u9762\u4e0e\u6570\u636e\u573a\u8fb9\u754c\u76f8\u4ea4\u65f6\uff0c\u91cd\u5efa\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u5916\u8868\u9762\u5728\u6570\u636e\u573a\u8fb9\u754c\u5904\u4f1a\u4ea7\u751f\u7a7a\u6d1e\uff0c\u6211\u4eec\u63d0\u51fa\u4e86\u4e00\u79cd\u53ef\u4ee5\u5c06\u8fd9\u4e9b\u7a7a\u6d1e\u8865\u5168\u7684\u65b9\u6cd5\uff0c\u4f7f\u7528\u8be5\u65b9\u6cd5\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u5177\u6709\u5b8c\u6574\u7684\u5916\u8868\u9762\u548c\u826f\u597d\u7684\u53ef\u89c6\u5316\u6548\u679c\u3002\u5728\u4e09\u7ef4\u91cd\u5efa\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u63d0\u51fa\u4e86\u4e00\u79cd\u4ee5MC\u7b97\u6cd5\u4e3a\u57fa\u7840\uff0c\u53ef\u4ee5\u5bf9\u591a\u4e2a\u7269\u4f53\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\u7684\u65b0\u65b9\u6cd5\uff0c\u8be5\u65b9\u6cd5\u4ee5MC\u7b97\u6cd5\u4e3a\u57fa\u7840\uff0c\u5c06\u4e09\u7ef4\u91cd\u5efa\u548c\u5e03\u5c14\u8fd0\u7b97\u76f8\u7ed3\u5408\uff0c\u53ef\u4ee5\u7b80\u5355\u3001\u65b9\u4fbf\u3001\u9ad8\u6548\u7684\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\u65f6\u7684\u5e03\u5c14\u8fd0\u7b97\u3002\u3002\u4e3a\u4e86\u65b9\u4fbf\u6570\u636e\u7684\u5b58\u50a8\u3001\u5171\u4eab\u548c\u52a0\u5de5\uff0c\u6211\u4eec\u4e09\u7ef4\u91cd\u5efa\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u7684\u6587\u4ef6\u8f93\u51fa\u683c\u5f0f\u4e5f\u505a\u4e86\u4e00\u5b9a\u7684\u7814\u7a76\u3002
\n2 Marching Cubes\u7b97\u6cd5
\nMC\u7b97\u6cd5\u662fW.E.Lorrenson\u57281987\u5e74\u63d0\u51fa\u7684,\u5b83\u88ab\u8ba4\u4e3a\u662f\u8fc4\u4eca\u4e3a\u6b62\u5e94\u7528\u6700\u5e7f\u7684\u9762\u91cd\u5efa\u7b97\u6cd5\u4e4b\u4e00\u3002[3,4] \u5728MC\u7b97\u6cd5\u4e2d\uff0c\u5047\u5b9a\u539f\u59cb\u6570\u636e\u662f\u79bb\u6563\u7684\u5747\u5300\u4e09\u7ef4\u6570\u636e\u70b9\u4e91\uff0c\u6570\u5b66\u4e0a\u53ef\u4ee5\u8868\u793a\u4e3a\u4e00\u4e2a\u4e09\u7ef4\u6570\u636e\u77e9\u9635A\uff08l\u00d7m\u00d7n\uff09\u3002\u6211\u4eec\u5c06\u6bcf\u76f8\u90bb\u4e0a\u4e0b\u4e24\u5c42\u76844\u4e2a\u5bf9\u5e94\u6570\u636e\u70b9\uff08\u51718\u4e2a\u6570\u636e\u70b9\uff09\u6240\u7ec4\u6210\u7684\u7acb\u65b9\u4f53\u770b\u4f5c\u4e00\u4e2a\u4f53\u7d20\uff0c\u5229\u75288\u4e2a\u6570\u636e\u70b9\u7684\u6570\u503c\u548c\u7b49\u503c\u9762\u503c\u7684\u5173\u7cfb\uff0c\u5224\u65ad\u8fd9\u4e2a\u7acb\u65b9\u4f53\u662f\u5426\u4e0e\u7b49\u503c\u9762\u76f8\u4ea4\u3002\u5982\u679c\u76f8\u4ea4\u5219\u91c7\u7528\u7ebf\u6027\u63d2\u503c\u7684\u65b9\u6cd5\u8ba1\u7b97\u51fa\u7b49\u503c\u9762\u4e0e\u7acb\u65b9\u4f53\u8fb9\u7684\u4ea4\u70b9\uff0c\u6839\u636e\u7acb\u65b9\u4f53\u6bcf\u4e00\u9876\u70b9\u4e0e\u7b49\u503c\u9762\u7684\u76f8\u5bf9\u4f4d\u7f6e\uff0c\u5c06\u7b49\u503c\u9762\u4e0e\u7acb\u65b9\u4f53\u8fb9\u7684\u4ea4\u70b9\u6309\u4e00\u5b9a\u65b9\u5f0f\u8fde\u63a5\u6210\u4e09\u89d2\u5f62\uff0c\u4f5c\u4e3a\u7b49\u503c\u9762\u5728\u8be5\u7acb\u65b9\u4f53\u5185\u7684\u903c\u8fd1\u8868\u793a\u3002\u7531\u4e8e\u6bcf\u4e00\u4f53\u7d20\u5171\u67098\u4e2a\u9876\u70b9\uff0c\u6bcf\u4e2a\u9876\u70b9\u67092\u79cd\u72b6\u6001\uff0c\u56e0\u6b64\u4e00\u4e2a\u4f53\u7d20\u5171\u6709256\u79cd\u7ec4\u5408\u72b6\u6001\u3002\u6839\u636e\u4e92\u8865\u5bf9\u79f0\u6027\u548c\u65cb\u8f6c\u5bf9\u79f0\u6027\uff0c\u53ef\u5c06\u8fd9256\u79cd\u72b6\u6001\u8fdb\u4e00\u6b65\u7b80\u5316\u6210\u5982\u56fe2\u6240\u793a\u768415\u79cd\u3002\u9010\u4e2a\u5730\u5904\u7406\u4e09\u7ef4\u6570\u636e\u573a\u4e2d\u7684\u7acb\u65b9\u4f53(\u4f53\u7d20)\uff0c\u5c31\u53ef\u4ee5\u5f97\u5230\u4e00\u7cfb\u5217\u8fd9\u6837\u7684\u4e09\u89d2\u5f62\uff0c\u5904\u7406\u5b8c\u6240\u6709\u7acb\u65b9\u4f53\u4e4b\u540e\uff0c\u5c31\u53ef\u4ee5\u5f97\u5230\u4e09\u7ef4\u6570\u636e\u573a\u4e2d\u903c\u8fd1\u7684\u7b49\u503c\u9762\u3002<\/p>\n

\u56fe2 15\u79cd\u57fa\u672c\u7684\u7acb\u65b9\u4f53\u72b6\u6001
\n3 \u4ece\u7b49\u503c\u9762\u5230\u4e09\u7ef4\u5f62\u4f53
\n\u7b49\u503c\u9762\u662f\u7a7a\u95f4\u6570\u636e\u573a\u4e2d\u7b49\u4e8e\u67d0\u4e2a\u503c\u7684\u6240\u6709\u70b9\u7684\u96c6\u5408\uff0c\u7a7a\u95f4\u6570\u636e\u573a\u4e2d\u5927\u4e8e\u7b49\u4e8e\uff08\u6216\u8005\u5c0f\u4e8e\u7b49\u4e8e\uff09\u8be5\u503c\u7684\u6240\u6709\u70b9\u7684\u96c6\u5408\u662f\u4e00\u4e2a\u4e09\u7ef4\u5f62\u4f53\uff0c\u8fd9\u4e2a\u4e09\u7ef4\u5f62\u4f53\u7684\u5916\u8868\u9762\u7b49\u4e8e\u7b49\u503c\u9762\u518d\u52a0\u4e0a\u7a7a\u95f4\u6570\u636e\u573a\u8fb9\u754c\u8868\u9762\u4e0a\u6240\u6709\u5927\u4e8e\u7b49\u4e8e\uff08\u6216\u8005\u5c0f\u4e8e\u7b49\u4e8e\uff09\u8be5\u503c\u7684\u70b9\u7684\u96c6\u5408\u3002\u91cd\u5efa\u4e09\u7ef4\u5f62\u4f53\uff0c\u6216\u8005\u8bf4\u91cd\u5efa\u4e09\u7ef4\u5f62\u4f53\u7684\u5916\u8868\u9762\u662f\u4e09\u7ef4\u91cd\u5efa\u7684\u6700\u7ec8\u76ee\u7684\u3002MC\u7b97\u6cd5\u4e3b\u8981\u7528\u6765\u7ed8\u5236\u7b49\u503c\u9762\uff0c\u5f53\u7b49\u503c\u9762\u90fd\u5728\u6570\u636e\u573a\u7684\u5185\u90e8\uff0c\u6216\u8005\u8bf4\u7b49\u503c\u9762\u4e0e\u6570\u636e\u573a\u8fb9\u754c\u4e0d\u76f8\u4ea4\u65f6\uff0c\u7b49\u503c\u9762\u548c\u4e09\u7ef4\u5f62\u4f53\u7684\u5916\u8868\u9762\u662f\u4e00\u81f4\u7684\uff0c\u5982\u56fe3\u6240\u793a\uff1b\u4f46\u662f\u5f53\u7b49\u503c\u9762\u4e0e\u6570\u636e\u573a\u8fb9\u754c\u76f8\u4ea4\u65f6\uff0c\u7b49\u503c\u9762\u5e76\u4e0d\u7b49\u4e8e\u4e09\u7ef4\u5f62\u4f53\u7684\u5916\u8868\u9762\uff0c\u800c\u662f\u5c11\u4e86\u6570\u636e\u573a\u8fb9\u754c\u8868\u9762\u4e0a\u6240\u6709\u5927\u4e8e\u7b49\u4e8e\uff08\u6216\u8005\u5c0f\u4e8e\u7b49\u4e8e\uff09\u7b49\u503c\u9762\u503c\u7684\u90a3\u90e8\u5206\u70b9\u96c6\uff0c\u4ee5\u4e0a\u60c5\u51b5\u5728\u56fe\u5f62\u4e0a\u8868\u73b0\u4e3a\u4e09\u7ef4\u5f62\u4f53\u5916\u8868\u9762\u5728\u6570\u636e\u573a\u8fb9\u754c\u5904\u4f1a\u4ea7\u751f\u7a7a\u6d1e\uff0c\u5982\u56fe4\u6240\u793a\u3002\u4e3a\u4e86\u751f\u6210\u5b8c\u6574\u7684\u4e09\u7ef4\u5f62\u4f53\u5916\u8868\u9762\uff0c\u5fc5\u987b\u628a\u8fd9\u4e9b\u7a7a\u6d1e\u8865\u5168\uff0c\u4e5f\u5373\u628a\u6570\u636e\u573a\u8fb9\u754c\u8868\u9762\u4e0a\u5927\u4e8e\u7b49\u4e8e\uff08\u6216\u8005\u5c0f\u4e8e\u7b49\u4e8e\uff09\u7b49\u503c\u9762\u503c\u7684\u90a3\u90e8\u5206\u70b9\u96c6\u5f62\u6210\u7684\u8868\u9762\u7ed9\u7ed8\u5236\u51fa\u6765\uff0c\u5982\u56fe5\u6240\u793a\u3002<\/p>\n

\u56fe3 \u4e0e\u8fb9\u754c\u4e0d\u76f8\u4ea4\u65f6\u7684\u7b49\u503c\u9762\u56fe<\/p>\n

\u56fe4 \u4e0e\u8fb9\u754c\u76f8\u4ea4\u7684\u7b49\u503c\u9762\u56fe<\/p>\n

\u56fe5 \u8865\u5168\u7a7a\u6d1e\u540e\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53
\n\u5728\u5b9e\u8df5\u4e2d\uff0c\u6211\u4eec\u627e\u5230\u4e86\u4e00\u4e2a\u6bd4\u8f83\u7b80\u5355\u65b9\u4fbf\u7684\u8865\u5168\u7a7a\u6d1e\uff0c\u751f\u6210\u5b8c\u6574\u7684\u4e09\u7ef4\u5f62\u4f53\u5916\u8868\u9762\u7684\u65b9\u6cd5\u3002\u5728MC\u7b97\u6cd5\u4e2d\uff0c\u5047\u5b9a\u539f\u59cb\u6570\u636e\u662f\u79bb\u6563\u7684\u5747\u5300\u4e09\u7ef4\u6570\u636e\u70b9\u4e91\uff0c\u6570\u5b66\u4e0a\u53ef\u4ee5\u8868\u793a\u4e3a\u4e00\u4e2a\u4e09\u7ef4\u6570\u636e\u77e9\u9635A\uff08l\u00d7m\u00d7n\uff09\uff0c\u8bbe\u77e9\u9635A\u4e2d\u5143\u7d20\u7684\u6700\u5c0f\u503c\u662famin\uff0c\u6700\u5927\u503c\u662famax\u3002\u6839\u636eMC\u7b97\u6cd5\u7684\u7279\u6027\uff0c\u5f53\u4f53\u7d20\u7acb\u65b9\u4f53\u4e2d\u7684\u516b\u4e2a\u9876\u70b9\u503c\u8de8\u8d8a\u4e86\u7b49\u503c\u9762\u503c\u65f6\uff0c\u8bf4\u660e\u8fd9\u4e2a\u4f53\u7d20\u7acb\u65b9\u4f53\u4e2d\u6709\u7b49\u503c\u9762\u3002\u5f53\u7b49\u503c\u9762\u4e0e\u7a7a\u95f4\u6570\u636e\u573a\u7684\u67d0\u4e2a\u8fb9\u754c\u8868\u9762\u76f8\u4ea4\u65f6\uff0c\u628a\u8fd9\u4e2a\u8fb9\u754c\u8868\u9762\u4e0a\u7684\u6570\u636e\u70b9\u53d6\u51fa\u6765\uff0c\u5f62\u6210\u4e00\u4e2a\u4e8c\u7ef4\u6570\u636e\u7f51\u683c\u3002\u8003\u8651\u5982\u56fe6\u6240\u793a\u7684\u5178\u578b\u60c5\u51b5\uff0c\u9ed1\u8272\u7684\u70b9\u8868\u793a\u6570\u636e\u503c\u5927\u4e8e\u7b49\u503c\u9762\u503c\u7684\u70b9\uff0c\u767d\u8272\u7684\u70b9\u8868\u793a\u6570\u636e\u503c\u5c0f\u4e8e\u7b49\u503c\u9762\u503c\u7684\u70b9\uff0c\u5728\u56fe\u4e2d\u7ed8\u51fa\u4e86\u8fb9\u754c\u8868\u9762\u4e0a\u7684\u7b49\u503c\u7ebf\uff0c\u7b49\u503c\u7ebf\u6240\u56f4\u6210\u7684\u533a\u57df\u5c31\u662f\u4e09\u7ef4\u5f62\u4f53\u5916\u8868\u9762\u4e0a\u7684\u7a7a\u6d1e\u3002\u5982\u679c\u5728\u8fd9\u4e2a\u4e8c\u7ef4\u6570\u636e\u7f51\u683c\u5916\u9762\u518d\u52a0\u4e0a\u4e00\u5c42\u6570\u636e\u7f51\u683c\uff0c\u4ee4\u8fd9\u4e9b\u65b0\u52a0\u4e0a\u7684\u6570\u636e\u7f51\u683c\u7684\u6570\u636e\u70b9\u503c\u53d6\u4e00\u4e2a\u8fdc\u5c0f\u4e8e\u7b49\u503c\u9762\u503c\u7684\u6570\u503c\uff08\u8fd9\u91cc\u6211\u4eec\u53d6\u77e9\u9635A\u4e2d\u5143\u7d20\u7684\u6700\u5c0f\u503camin\uff09\uff0c\u5bf9\u4e8e\u8fd9\u4e2a\u65b0\u5f62\u6210\u7684\u4e09\u7ef4\u6570\u636e\u7f51\u683c\uff0c\u5229\u7528MC\u7b97\u6cd5\u7ed8\u5236\u7b49\u503c\u9762\uff0c\u8fb9\u754c\u8868\u9762\u4e0a\u7684\u7a7a\u6d1e\u4f1a\u88ab\u81ea\u52a8\u8865\u5168\uff0c\u5982\u56fe7\u6240\u793a\u3002<\/p>\n

\u56fe6 \u8fb9\u754c\u9762\u4e0a\u7684\u6570\u636e\u70b9\u548c\u7b49\u503c\u7ebf<\/p>\n

\u56fe7 \u8fb9\u754c\u9762\u4e0a\u7684\u7a7a\u6d1e\u8865\u5168
\n\u8003\u8651\u66f4\u666e\u904d\u7684\u60c5\u51b5\uff0c\u5982\u679c\u7b49\u503c\u9762\u4e0e\u7a7a\u95f4\u6570\u636e\u573a\u7684\u516d\u4e2a\u8fb9\u754c\u8868\u9762\u90fd\u76f8\u4ea4\uff0c\u5982\u56fe8\u6240\u793a\u3002\u53ef\u4ee5\u5728\u539f\u59cb\u4e09\u7ef4\u6570\u636e\u7f51\u683c\u7684\u4e0a\u4e0b\u5de6\u53f3\u524d\u540e\u516d\u4e2a\u65b9\u5411\u4e0a\u5404\u52a0\u4e0a\u4e00\u5c42\u6570\u636e\u7f51\u683c\uff0c\u5373\u5c06\u539f\u59cb\u4e09\u7ef4\u6570\u636e\u77e9\u9635A\uff08l\u00d7m\u00d7n\uff09\u6269\u5c55\u4e3aB\uff08\uff08l+2\uff09\u00d7\uff08m\uff0b2\uff09\u00d7\uff08n\uff0b2\uff09\uff09\uff0c\u5e76\u4e14\u4ee4\u8fd9\u4e9b\u65b0\u52a0\u4e0a\u7684\u6570\u636e\u70b9\u7684\u6570\u503c\u53d6\u539f\u59cb\u4e09\u7ef4\u6570\u636e\u77e9\u9635A\u4e2d\u5143\u7d20\u7684\u6700\u5c0f\u503camin\uff0c\u89c1\u516c\u5f0f1\uff0c\u90a3\u4e48\u5bf9\u8fd9\u4e2a\u65b0\u5f62\u6210\u7684\u4e09\u7ef4\u6570\u636e\u77e9\u9635\uff0c\u4f7f\u7528MC\u7b97\u6cd5\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\uff0c\u8fb9\u754c\u4e0a\u7684\u7a7a\u6d1e\u4f1a\u88ab\u81ea\u52a8\u8865\u5168\uff0c\u4ece\u800c\u5f62\u6210\u4e09\u7ef4\u5f62\u4f53\u5916\u8868\u9762\uff0c\u5982\u56fe9\u6240\u793a\u3002
\n(\u516c\u5f0f1)<\/p>\n

\u56fe8 \u4e0e\u8fb9\u754c\u8868\u9762\u90fd\u76f8\u4ea4\u7684\u7b49\u503c\u9762\u56fe<\/p>\n

\u56fe9 \u8865\u5168\u7a7a\u6d1e\u540e\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53
\n\u5229\u7528\u8fd9\u79cd\u65b9\u6cd5\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u5916\u8868\u9762\u5b58\u5728\u4e00\u5b9a\u7684\u8bef\u5dee\uff0c\u5982\u679c\u7a7a\u95f4\u6570\u636e\u573a\u7684\u91c7\u6837\u6570\u636e\u8db3\u591f\u591a\u7684\u8bdd\uff0c\u8bef\u5dee\u4e00\u822c\u5728\u53ef\u4ee5\u63a5\u53d7\u7684\u8303\u56f4\u4e4b\u5185\u3002
\n4 \u5e03\u5c14\u8fd0\u7b97
\n\u5728\u4e09\u7ef4\u91cd\u5efa\u7684\u8fc7\u7a0b\u4e2d\uff0c\u53ef\u4ee5\u5bf9\u591a\u4e2a\u7269\u4f53\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\u3002\u5e03\u5c14\u8fd0\u7b97\u901a\u8fc7\u5bf9\u4e24\u4e2a\u4ee5\u4e0a\u7684\u7269\u4f53\u8fdb\u884c\u5e76\u96c6\u3001\u5dee\u96c6\u3001\u4ea4\u96c6\u7684\u8fd0\u7b97\uff0c\u4ece\u800c\u5f97\u5230\u65b0\u7684\u7269\u4f53\u5f62\u6001\u3002\u8fd9\u91cc\u8003\u8651\u6700\u7b80\u5355\u7684\u60c5\u51b5\uff0c\u4e24\u4e2a\u7269\u4f53\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\u3002\u5df2\u77e5\u4e24\u4e2a\u4e09\u7ef4\u6570\u636e\u77e9\u9635A\u548cB\uff0cA\u548cB\u884c\u5217\u6570\u76f8\u540c\uff0c\u4f8b\u5982\u90fd\u662fl\u00d7m\u00d7n\u77e9\u9635\uff0c\u77e9\u9635A\u4e2d\u5143\u7d20\u7684\u6700\u5c0f\u503c\u4e3aamin\uff0c\u6700\u5927\u503c\u4e3aamin\u3002\u5982\u679c\u4e24\u4e2a\u77e9\u9635\u884c\u5217\u6570\u4e0d\u540c\uff0c\u53ef\u4ee5\u901a\u8fc7\u7ebf\u6027\u63d2\u503c\u5c06\u4e24\u4e2a\u77e9\u9635\u53d8\u6362\u4e3a\u5177\u6709\u76f8\u540c\u7684\u884c\u5217\u6570\u7684\u77e9\u9635\u3002
\n\u4f20\u7edf\u7684\u5e03\u5c14\u8fd0\u7b97\u8fc7\u7a0b\u5982\u56fe10\u6240\u793a\uff1a\u5229\u7528MC\u7b97\u6cd5\u5bf9\u4e09\u7ef4\u6570\u636e\u77e9\u9635A\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\u5f97\u5230\u4e09\u7ef4\u5f62\u4f53a\uff0c\u5bf9\u4e09\u7ef4\u6570\u636e\u77e9\u9635B\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\u5f97\u5230\u4e09\u7ef4\u5f62\u4f53b\uff0c\u7136\u540ea\u548cb\u4e4b\u95f4\u8fdb\u884c\u4f20\u7edf\u7684\u4e09\u7ef4\u5f62\u4f53\u5e03\u5c14\u8fd0\u7b97\uff0c\u5f97\u5230\u4e00\u4e2a\u65b0\u7684\u4e09\u7ef4\u5f62\u4f53c\u3002<\/p>\n

\u56fe10 \u4f20\u7edf\u7684\u5e03\u5c14\u8fd0\u7b97\u8fc7\u7a0b
\n\u5728\u5b9e\u8df5\u4e2d\u6211\u4eec\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u7684\u5e03\u5c14\u8fd0\u7b97\u65b9\u6cd5\uff0c\u8fc7\u7a0b\u5982\u56fe11\u6240\u793a\uff1a\u5148\u5c06\u4e09\u7ef4\u6570\u636e\u77e9\u9635A\u4e0eB\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\uff0c\u5f97\u5230\u4e00\u4e2a\u65b0\u7684\u4e09\u7ef4\u6570\u636e\u77e9\u9635D\uff0c\u7136\u540e\u5bf9\u8fd9\u4e2a\u65b0\u7684\u4e09\u7ef4\u6570\u636e\u77e9\u9635D\u4f7f\u7528MC\u7b97\u6cd5\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\uff0c\u5f97\u5230\u4e00\u4e2a\u65b0\u7684\u5f62\u4f53d\u3002\u53ef\u4ee5\u901a\u8fc7\u7406\u8bba\u548c\u5b9e\u8df5\u8bc1\u660e\uff0c\u4f20\u7edf\u7684\u5e03\u5c14\u8fd0\u7b97\u5f97\u5230\u7684\u5f62\u4f53c\u548c\u4f7f\u7528\u65b0\u65b9\u6cd5\u5f97\u5230\u7684\u5f62\u4f53d\u662f\u76f8\u540c\u7684\u3002<\/p>\n

\u56fe11 \u65b0\u7684\u5e03\u5c14\u8fd0\u7b97\u65b9\u6cd5
\n\u4e0b\u9762\u4e3e\u4f8b\u6765\u8bf4\u660e\u4e09\u7ef4\u6570\u636e\u77e9\u9635A\u4e0eB\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\u7684\u8fc7\u7a0b\u3002\u4f8b\u5982\uff0c\u6c42\u4e09\u7ef4\u6570\u636e\u77e9\u9635A\u4e0eB\u7684\u5dee\u96c6\uff0c\u5373\u8fdb\u884c\u201cA\u51cfB\u201d\u7684\u5e03\u5c14\u8fd0\u7b97\uff0c\u53d6\u51faA\u4e0eB\u4e2d\u7684\u5bf9\u5e94\u5143\u7d20ai,j,k\u548cbi,j,k\uff0c\u5206\u4e0b\u97624\u79cd\u60c5\u51b5\u8fdb\u884c\u8ba8\u8bba\uff1a
\n\u2460 \u5982\u679cai,j,k\u2265\u7b49\u503c\u9762\u503cIa\uff0cbi,j,k\u2265\u7b49\u503c\u9762\u503cIb\uff0c\u4ece\u51e0\u4f55\u5b66\u4e0a\u6765\u770b\uff0c\u7a7a\u95f4\u6570\u636e\u573a\u4e2d\u8fd9\u70b9\u4f4d\u4e8eA\u548cB\u751f\u6210\u7684\u7b49\u503c\u9762\u7684\u5185\u90e8\uff0c\u4e09\u7ef4\u5f62\u4f53\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\u540e\u8fd9\u70b9\u5e94\u8be5\u4f4d\u4e8e\u65b0\u5f62\u4f53\u7684\u5916\u90e8\uff1b\u4ece\u4ee3\u6570\u5b66\u4e0a\u6765\u770b\uff0c\u5e03\u5c14\u8fd0\u7b971-1=0\uff0c\u6700\u7ec8\u5c06\u4e09\u7ef4\u6570\u636e\u77e9\u9635D\u4e2d\u7684\u5bf9\u5e94\u5143\u7d20di,j,k\u7684\u6570\u503c\u8bbe\u4e3a\u77e9\u9635A\u4e2d\u7684\u5143\u7d20\u6700\u5c0f\u503camin\u3002
\n\u2461 \u5982\u679cai,j,k\u2265\u7b49\u503c\u9762\u503cIa\uff0cbi,j,k\uff1c\u7b49\u503c\u9762\u503cIb\uff0c\u4ece\u51e0\u4f55\u5b66\u4e0a\u6765\u770b\uff0c\u7a7a\u95f4\u6570\u636e\u573a\u4e2d\u8fd9\u70b9\u4f4d\u4e8eA\u751f\u6210\u7684\u7b49\u503c\u9762\u7684\u5185\u90e8\uff0cB\u751f\u6210\u7684\u7b49\u503c\u9762\u7684\u5916\u90e8\uff0c\u4e09\u7ef4\u5f62\u4f53\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\u540e\u8fd9\u70b9\u5e94\u8be5\u4f4d\u4e8e\u65b0\u5f62\u4f53\u7684\u5185\u90e8\uff1b\u4ece\u4ee3\u6570\u5b66\u4e0a\u6765\u770b\uff0c\u5e03\u5c14\u8fd0\u7b971-0=1\uff0c\u6700\u7ec8\u5c06\u4e09\u7ef4\u6570\u636e\u77e9\u9635D\u4e2d\u7684\u5bf9\u5e94\u5143\u7d20di,j,k\u7684\u6570\u503c\u8bbe\u4e3a\u77e9\u9635A\u4e2d\u7684\u5bf9\u5e94\u5143\u7d20ai,j,k\u7684\u503c\u3002
\n\u2462 \u5982\u679cai,j,k\uff1c\u7b49\u503c\u9762\u503cIa\uff0cbi,j,k\u2265\u7b49\u503c\u9762\u503cIb\uff0c\u4ece\u51e0\u4f55\u5b66\u4e0a\u6765\u770b\uff0c\u7a7a\u95f4\u6570\u636e\u573a\u4e2d\u8fd9\u70b9\u4f4d\u4e8eA\u751f\u6210\u7684\u7b49\u503c\u9762\u7684\u5916\u90e8\uff0cB\u751f\u6210\u7684\u7b49\u503c\u9762\u7684\u5185\u90e8\uff0c\u4e09\u7ef4\u5f62\u4f53\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\u540e\u8fd9\u70b9\u5e94\u8be5\u4f4d\u4e8e\u65b0\u5f62\u4f53\u7684\u5916\u90e8\uff1b\u4ece\u4ee3\u6570\u5b66\u4e0a\u6765\u770b\uff0c\u5e03\u5c14\u8fd0\u7b970-1=0\uff0c\u6700\u7ec8\u5c06\u4e09\u7ef4\u6570\u636e\u77e9\u9635D\u4e2d\u7684\u5bf9\u5e94\u5143\u7d20di,j,k\u7684\u6570\u503c\u8bbe\u4e3a\u77e9\u9635A\u4e2d\u7684\u5143\u7d20\u6700\u5c0f\u503camin\u3002
\n\u2463 \u5982\u679cai,j,k\uff1c\u7b49\u503c\u9762\u503cIa\uff0cbi,j,k\uff1c\u7b49\u503c\u9762\u503cIb\uff0c\u4ece\u51e0\u4f55\u5b66\u4e0a\u6765\u770b\uff0c\u7a7a\u95f4\u6570\u636e\u573a\u4e2d\u8fd9\u70b9\u4f4d\u4e8eA\u548cB\u751f\u6210\u7684\u7b49\u503c\u9762\u7684\u5916\u90e8\uff0c\u4e09\u7ef4\u5f62\u4f53\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\u540e\u8fd9\u70b9\u5e94\u8be5\u4f4d\u4e8e\u65b0\u5f62\u4f53\u7684\u5916\u90e8\uff1b\u4ece\u4ee3\u6570\u5b66\u4e0a\u6765\u770b\uff0c\u5e03\u5c14\u8fd0\u7b970-0=0\uff0c\u6700\u7ec8\u5c06\u4e09\u7ef4\u6570\u636e\u77e9\u9635D\u4e2d\u7684\u5bf9\u5e94\u5143\u7d20di,j,k\u7684\u6570\u503c\u8bbe\u4e3a\u77e9\u9635A\u4e2d\u7684\u5143\u7d20\u6700\u5c0f\u503camin\u3002
\n\u7ecf\u8fc7\u4ee5\u4e0a\u5e03\u5c14\u8fd0\u7b97\u4e4b\u540e\u5f97\u5230\u4e00\u4e2a\u65b0\u7684\u77e9\u9635D\uff0c D\u4e2d\u5143\u7d20\u7684\u503c\u5168\u90e8\u53d6\u81eaA\u4e2d\u7684\u5143\u7d20\u7684\u503c\uff0c\u5bf9\u77e9\u9635D\u4f7f\u7528MC\u7b97\u6cd5\u4ee5Ia\u4f5c\u4e3a\u7b49\u503c\u9762\u503c\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\u4e4b\u540e\u5c31\u5f97\u5230\u4e86\u4e00\u4e2a\u65b0\u7684\u5f62\u4f53d\u3002\u53ef\u4ee5\u770b\u51fa\uff0c\u77e9\u9635D\u4e2d\u7684\u5143\u7d20\u90fd\u662f\u7528\u77e9\u9635A\u4e2d\u7684\u5bf9\u5e94\u5143\u7d20ai,j,k\uff0c\u5143\u7d20\u6700\u5c0f\u503camin\u6216\u8005\u5143\u7d20\u6700\u5927\u503camax\u7ecf\u8fc7\u91cd\u7ec4\u4e4b\u540e\u5f97\u5230\u7684\u3002D\u4e2d\u5143\u7d20\u7684\u503c\u4e5f\u53ef\u4ee5\u5168\u90e8\u53d6\u81eaB\u4e2d\u7684\u5143\u7d20\u7684\u503c\uff0c\u7136\u540e\u4ee5Ib\u4f5c\u4e3a\u7b49\u503c\u9762\u503c\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\uff0c\u5f97\u5230\u7684\u7ed3\u679c\u662f\u76f8\u540c\u7684\u3002\u5e76\u96c6\u548c\u4ea4\u96c6\u7684\u5e03\u5c14\u8fd0\u7b97\u4e0e\u4e0a\u9762\u6240\u8bb2\u7684\u5dee\u96c6\u7684\u65b9\u6cd5\u7c7b\u4f3c\u3002
\n\u4ee5MC\u7b97\u6cd5\u4e3a\u57fa\u7840\uff0c\u5728\u4e09\u7ef4\u91cd\u5efa\u7684\u8fc7\u7a0b\u4e2d\uff0c\u65b0\u7684\u5e03\u5c14\u8fd0\u7b97\u65b9\u6cd5\u548c\u4f20\u7edf\u7684\u5e03\u5c14\u8fd0\u7b97\u65b9\u6cd5\u76f8\u6bd4\u8f83\u5177\u6709\u5f88\u5927\u7684\u4f18\u52bf\u3002\u4f20\u7edf\u7684\u5e03\u5c14\u8fd0\u7b97\u65b9\u6cd5\u4e2d\u4e09\u7ef4\u5f62\u4f53\u95f4\u7684\u5e03\u5c14\u8fd0\u7b97\u7684\u7b97\u6cd5\u6781\u5176\u590d\u6742\uff0c\u96be\u4ee5\u638c\u63e1\uff0c\u800c\u65b0\u65b9\u6cd5\u4e2d\u4e09\u7ef4\u6570\u636e\u77e9\u9635\u95f4\u7684\u5e03\u5c14\u8fd0\u7b97\u5219\u7b80\u5355\u7684\u591a\uff0c\u76f8\u5f53\u4e8e\u6570\u503c\u4e0e\u6570\u503c\u7684\u5e03\u5c14\u8fd0\u7b97\uff0c\u6548\u7387\u5f88\u9ad8\u3002\u65b0\u7684\u5e03\u5c14\u8fd0\u7b97\u65b9\u6cd5\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u5b58\u5728\u4e00\u5b9a\u7684\u8bef\u5dee\uff0c\u5982\u679c\u7a7a\u95f4\u6570\u636e\u573a\u7684\u91c7\u6837\u6570\u636e\u8db3\u591f\u591a\u7684\u8bdd\uff0c\u8bef\u5dee\u4e00\u822c\u5728\u53ef\u4ee5\u63a5\u53d7\u7684\u8303\u56f4\u4e4b\u5185\u3002\u56fe12\u3001\u56fe13\u3001\u56fe14\u662f\u5229\u7528\u65b0\u65b9\u6cd5\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\u7684\u4e00\u4e2a\u793a\u4f8b\u3002<\/p>\n

\u56fe12 \u4e24\u4e2a\u539f\u59cb\u5f62\u4f53<\/p>\n

\u56fe13 \u5e03\u5c14\u8fd0\u7b97\u2014\u2014\u5dee\u96c6\uff0c\u4ea4\u96c6<\/p>\n

\u56fe14 \u5e03\u5c14\u8fd0\u7b97\u2014\u2014\u5e76\u96c6
\n5 \u6587\u4ef6\u8f93\u51fa
\n\u4e3a\u4e86\u65b9\u4fbf\u6570\u636e\u7684\u5b58\u50a8\u3001\u5171\u4eab\u548c\u52a0\u5de5\uff0c\u4e09\u7ef4\u91cd\u5efa\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u53ef\u4ee5\u8f93\u51fa\u4e3a\u6587\u4ef6\u3002\u867d\u7136\u7528\u6765\u5b58\u50a8\u4e09\u7ef4\u5f62\u4f53\u7684\u6587\u4ef6\u7c7b\u578b\u5f88\u591a\uff0c\u4f46\u662f\u8003\u8651\u5230\u5229\u7528MC\u7b97\u6cd5\u4e09\u7ef4\u91cd\u5efa\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u662f\u7531\u5927\u91cf\u4e09\u89d2\u9762\u7247\u7ec4\u6210\u7684\u8fd9\u79cd\u7279\u6027\uff0c\u4f7f\u7528STL\u6587\u4ef6\u683c\u5f0f\u6216\u8005VRML\u6587\u4ef6\u683c\u5f0f\u6765\u5b58\u50a8\u66f4\u5177\u6709\u4f18\u52bf\u3002
\nSTL\uff08Stereolithography\uff0c\u4e09\u89d2\u7f51\u683c\u6a21\u578b\uff09\u6587\u4ef6\u662f\u4e00\u79cd\u4e09\u7ef4\u5b9e\u4f53\u8868\u8ff0\u6587\u4ef6\uff0c\u5e7f\u6cdb\u7684\u5e94\u7528\u4e8e\u5feb\u901f\u6210\u578b\u4ee5\u53ca\u5176\u5b83\u9886\u57df\u3002STL\u6587\u4ef6\u7531\u591a\u4e2a\u4e09\u89d2\u5f62\u9762\u7247\u7684\u5b9a\u4e49\u7ec4\u6210\uff0c\u6bcf\u4e2a\u4e09\u89d2\u5f62\u9762\u7247\u7684\u5b9a\u4e49\u5305\u62ec\u4e09\u89d2\u5f62\u5404\u4e2a\u9876\u70b9\u7684\u4e09\u7ef4\u5750\u6807\uff0c\u4e09\u89d2\u5f62\u9762\u7247\u7684\u6cd5\u77e2\u91cf\u3002\u4e09\u89d2\u5f62\u9876\u70b9\u7684\u6392\u5217\u987a\u5e8f\u9075\u5faa\u53f3\u624b\u6cd5\u5219\uff0c\u4e09\u89d2\u5f62\u9762\u7247\u7684\u4e2a\u6570\u6309\u7167STL\u6587\u4ef6\u7684\u7c7b\u578b\uff0c\u6709\u76f4\u63a5\u7ed9\u51fa\u7684\uff0c\u4e5f\u6709\u4e0d\u7ed9\u51fa\u7684\u3002STL\u6587\u4ef6\u4e2d\u8fd8\u5305\u62ec\u5176\u5b83\u4e00\u4e9b\u4fe1\u606f\uff0c\u5982\u6587\u4ef6\u540d\uff0c\u6587\u4ef6\u63cf\u8ff0\u7b49\u7b49\u3002
\n\u6309\u7167\u4e0a\u8ff0\u683c\u5f0f\u628a\u4e09\u7ef4\u91cd\u5efa\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u5b58\u50a8\u4e3aSTL\u6587\u4ef6\uff0c\u5c31\u53ef\u4ee5\u7528\u4e8e\u6570\u636e\u7684\u5b58\u50a8\u3001\u5171\u4eab\u548c\u52a0\u5de5\u4e86\u3002\u56fe15\u8868\u793a\u5c06\u4e09\u7ef4\u91cd\u5efa\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u5b58\u50a8\u4e3aSTL\u6587\u4ef6\u4e4b\u540e\uff0c\u5728Unigraphics NX 3.0\u8f6f\u4ef6\u4e2d\u6253\u5f00\u7684\u60c5\u5f62\u3002<\/p>\n

\u56fe15 \u5728UG\u4e2d\u6253\u5f00\u751f\u6210\u7684STL\u6587\u4ef6
\nVRML\uff08Virtual Reality Modeling Language\uff0c\u865a\u62df\u73b0\u5b9e\u5efa\u6a21\u8bed\u8a00\uff09\u662f\u4e00\u79cd\u4e13\u4e3a\u4e07\u7ef4\u7f51\u800c\u8bbe\u8ba1\u7684\u4e09\u7ef4\u56fe\u50cf\u6807\u8bb0\u8bed\u8a00\uff0c\u4e5f\u53ef\u4ee5\u7528\u4e8e\u6570\u636e\u5b58\u50a8\u3001\u5171\u4eab\u548c\u52a0\u5de5\u3002VRML\u7684\u6269\u5c55\u540d\u662f.wrl\uff0c\u6574\u4e2aVRML\u6587\u4ef6\u7531\u591a\u4e2a\u8282\u70b9\u7ec4\u6210\uff0c\u6211\u4eec\u53ef\u4ee5\u5229\u7528\u5176\u4e2d\u7684IndexedFaceSet\u8282\u70b9\u6765\u5b58\u50a8\u4e09\u89d2\u9762\u7247\u3002\u56fe16\u8868\u793a\u5c06\u4e09\u7ef4\u91cd\u5efa\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u5b58\u50a8\u4e3aVRML\u6587\u4ef6\u4e4b\u540e\uff0c\u7528VRML\u6d4f\u89c8\u5668\u89c2\u770b\u8be5VRML\u6587\u4ef6\u7684\u60c5\u5f62\u3002<\/p>\n

\u56fe16 \u6d4f\u89c8\u751f\u6210\u7684VRML\u6587\u4ef6
\n6 \u7ed3\u8bba
\n\u5728\u5f00\u53d1MEMS\u5149\u523b\u4eff\u771f\u8f6f\u4ef6\u53ef\u89c6\u5316\u6a21\u5757\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u4ee5MC\uff08marching cubes\uff09\u7b97\u6cd5\u4e3a\u57fa\u7840\uff0c\u63d0\u51fa\u4e86\u4e00\u79cd\u8865\u5168\u91cd\u5efa\u540e\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u8868\u9762\u51fa\u73b0\u7a7a\u6d1e\u7684\u65b9\u6cd5\uff0c\u4f7f\u7528\u8be5\u65b9\u6cd5\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u5177\u6709\u5b8c\u6574\u7684\u5916\u8868\u9762\u548c\u826f\u597d\u7684\u53ef\u89c6\u5316\u6548\u679c\u3002\u63d0\u51fa\u4e86\u4e00\u79cd\u4e09\u7ef4\u91cd\u5efa\u65f6\u5bf9\u591a\u4e2a\u5f62\u4f53\u8fdb\u884c\u5e03\u5c14\u8fd0\u7b97\u7684\u65b0\u65b9\u6cd5\uff0c\u8be5\u65b9\u6cd5\u4ee5MC\u7b97\u6cd5\u4e3a\u57fa\u7840\uff0c\u5c06\u4e09\u7ef4\u91cd\u5efa\u548c\u5e03\u5c14\u8fd0\u7b97\u76f8\u7ed3\u5408\uff0c\u53ef\u4ee5\u7b80\u5355\u3001\u65b9\u4fbf\u3001\u9ad8\u6548\u7684\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\u65f6\u7684\u5e03\u5c14\u8fd0\u7b97\u3002\u53e6\u5916\u8fd8\u7814\u7a76\u4e86\u4e09\u7ef4\u91cd\u5efa\u540e\u751f\u6210\u7684\u4e09\u7ef4\u5f62\u4f53\u7684\u6587\u4ef6\u8f93\u51fa\u683c\u5f0f\u3002<\/p>\n

\u53c2\u8003\u6587\u732e:
\n[1] \u7530\u6377,\u5305\u5c1a\u8054,\u5468\u660e\u5168. \u533b\u5b66\u5f71\u50cf\u5904\u7406\u4e0e\u5206\u6790[M]. \u5317\u4eac:\u7535\u5b50\u5de5\u4e1a\u51fa\u7248\u793e,2003.
\n[2] \u5f20\u5b63,\u738b\u5b9c\u6770. \u533b\u5b66\u56fe\u50cf\u4e09\u7ef4\u91cd\u5efa\u65b9\u6cd5\u7684\u6bd4\u8f83\u7814\u7a76[J]. \u533b\u5b66\u4fe1\u606f,2006,19(5),948-950
\n[3] Lorensen WE, Cline HE. Marching cubes: a high resolution 3D surface construction algorithm [J]. Computer Graphics, 1987, 21(4): 163-169.
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Flash \u07f2 \u70b9\u51fb\u4e0b\u8f7d\u6b64\u6587\u4ef6\uff1aDOC\u683c\u5f0f \u70b9\u51fb\u4e0b\u8f7d\u6b64\u6587\u4ef6\uff1aPDF\u683c\u5f0f \u57fa\u4e8eMC\u7b97\u6cd5\u7684MEMS\u5149\u523b\u4eff\u771f\u7684\u4e09\u7ef4\u91cd\u5efa\u65b9\u6cd5\u7814\u7a76 \u738b\u6653\u4e1c, \u8303\u660e\u806a, \u6c88\u8fde\u5a60 \u4e2d\u56fd\u79d1\u5b66\u6280\u672f\u5927\u5b66 \u7cbe\u5bc6\u673a\u68b0\u4e0e\u7cbe\u5bc6\u4eea\u5668\u7cfb,\u5408\u80a5 23… <\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[16],"tags":[77],"class_list":["post-484","post","type-post","status-publish","format-standard","hentry","category-study","tag-self-management-pdca-and-lifelong-learning"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/opgogo.com\/blog2\/index.php?rest_route=\/wp\/v2\/posts\/484","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opgogo.com\/blog2\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/opgogo.com\/blog2\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/opgogo.com\/blog2\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/opgogo.com\/blog2\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=484"}],"version-history":[{"count":0,"href":"https:\/\/opgogo.com\/blog2\/index.php?rest_route=\/wp\/v2\/posts\/484\/revisions"}],"wp:attachment":[{"href":"https:\/\/opgogo.com\/blog2\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=484"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/opgogo.com\/blog2\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=484"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/opgogo.com\/blog2\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=484"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}