{"id":861,"date":"2018-03-11T22:21:50","date_gmt":"2018-03-11T14:21:50","guid":{"rendered":"http:\/\/www.whudj.cn\/?p=861"},"modified":"2018-03-11T22:22:33","modified_gmt":"2018-03-11T14:22:33","slug":"%e5%8f%a0%e7%bd%ae%e7%ae%97%e6%b3%954%e7%ae%97%e6%b3%95-%e6%8b%93%e6%89%91%e9%9d%a2%e6%a0%87%e8%ae%b0%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"http:\/\/www.whudj.cn\/?p=861","title":{"rendered":"\u53e0\u7f6e\u7b97\u6cd5(4):\u7b97\u6cd5-\u62d3\u6251\u9762\u6807\u8bb0\u7b97\u6cd5"},"content":{"rendered":"<p>\u53e0\u7f6e\u5206\u6790\u7684\u6838\u5fc3\u4efb\u52a1\u662f\u89e3\u51b3\u7531\u591a\u4e2a\u56fe\u5c42\u751f\u6210\u7684\u65b0\u6570\u636e\u4e2d\uff0c\u6bcf\u4e2a\u65b0\u751f\u6210\u7684\u5bf9\u8c61\u662f\u7531\u54ea\u4e9b\u8f93\u5165\u5bf9\u8c61\u201c\u53e0\u7f6e\u201d\u751f\u6210\u51fa\u6765\u7684\u95ee\u9898\u3002\u5373\u6240\u8c13\u7684\u5bf9\u8c61\u6807\u8bb0\u3002\u6805\u683c\u53e0\u7f6e\u5206\u6790\u7684\u6807\u8bb0\u975e\u5e38\u7b80\u5355\uff0c\u77e2\u91cf\u5bf9\u8c61\u7684\u5bf9\u8c61\u6807\u8bb0\u7b97\u6cd5\u76f8\u5bf9\u6765\u8bf4\u5c31\u8981\u590d\u6742\u5f88\u591a\u3002\u63a5\u4e0a\u6587\uff0c\u5f53\u8f93\u5165\u8981\u7d20\u5efa\u7acb\u4e86\u5bf9\u8c61\u6a21\u578b\u4e0e\u62d3\u6251\u6a21\u578b\u7684\u5173\u8054\uff0c\u6784\u5efa\u62d3\u6251\u6a21\u578b\u540e\uff0c\u672c\u6587\u4ecb\u7ecd\u4e00\u79cd\u62d3\u6251\u9762\u6807\u8bb0\u7b97\u6cd5,\u4ee5\u89e3\u51b3\u53e0\u7f6e\u5206\u6790\u7ed3\u679c\u7684\u6807\u8bb0\u95ee\u9898\u3002<!--more--><\/p>\n<p><span style=\"text-decoration: underline;\"><strong>1.\u8f93\u5165\u6570\u636e<\/strong><\/span><\/p>\n<p>1\uff09\u540c\u4e00\u56fe\u5c42\u8981\u7d20\u76f8\u4e92\u4e0d\u538b\u76d6\u3002 \u53e0\u7f6e\u5206\u6790\u7684\u8f93\u5165\u4e3a\u591a\u4e2a\u4e13\u9898\u201c\u56fe\u5c42\u201d\u6570\u636e\u3002\u6bcf\u4e00\u4e2a\u533a\u57df\uff08\u5bf9\u5e94\u56fe\u5c42\u4e2d\u7684\u4e00\u4e2a\u8981\u7d20\uff09\u5bf9\u5e94\u4e00\u79cd\u7279\u5b9a\u7684\u4e13\u9898\u5c5e\u6027\uff0c\u6bd4\u5982\u5728\u7701\u7ea7\u884c\u653f\u533a\u5212\u56fe\u4e2d\uff0c\u4e00\u4e2a\u533a\u57df\u5c5e\u4e8e\u5c71\u897f\uff0c\u5219\u4e0d\u4f1a\u5c5e\u4e8e\u6cb3\u5317\u6216\u8005\u5176\u4ed6\u7701\u4efd\u3002\u56e0\u6b64\uff0c\u8f93\u5165\u6570\u636e\u7684\u7279\u5f81\u4e4b\u4e00\u662f\uff0c\u540c\u4e00\u4e2a\u56fe\u5c42\u5185\uff0c\u8981\u7d20\u4e0d\u5b58\u5728\u76f8\u4e92\u538b\u76d6\u7684\u60c5\u51b5\uff0c\u5bf9\u5e94\u7684\u7ed3\u679c\u6570\u636e\u4e0a\uff0c\u81f3\u591a\u53ea\u5bf9\u5e94\u4e00\u79cd\u8981\u7d20\u7684\u540c\u4e00\u4e2aID\u3002<\/p>\n<p>2\uff09\u591a\u4e2a\u56fe\u5c42\u7684\u53e0\u7f6e\u5206\u6790\u6700\u7ec8\u4f1a\u5206\u89e3\u4e3a\u591a\u7ec4\u4e24\u4e2a\u56fe\u5c42\u4e4b\u95f4\u7684\u53e0\u7f6e\u5206\u6790\u3002\u597d\u6bd4\\(A\\cap B\\cap C\\ = A\\cap (B\\cap C)\\)\u4e00\u6837\uff0c\u53e0\u7f6e\u5206\u6790\uff08\u8fd0\u7b97\uff09\u6ee1\u8db3\u7ed3\u5408\u5f8b\u7b49\u8ba1\u7b97\u89c4\u5f8b\uff0c\u4f7f\u5f97\u591a\u4e2a\u56fe\u5c42\u7684\u53e0\u7f6e\u5206\u6790\u6700\u7ec8\u4f1a\u88ab\u5206\u89e3\u4e3a\u4e24\u4e2a\u56fe\u5c42\u4e4b\u95f4\u7684\u53e0\u7f6e\u3002\u5f53\u7136\uff0c\u8fd9\u4e0d\u662f\u610f\u5473\u7740\u591a\u4e2a\u56fe\u5c42\u4e4b\u95f4\u7684\u53e0\u7f6e\u662f\u5b8c\u5168\u7684\u4e24\u4e24\u53e0\u7f6e\u6784\u6210\u7684\uff0c\u8fd9\u6837\u4f1a\u9020\u6210\u8ba1\u7b97\u6548\u7387\u7684\u6781\u5927\u964d\u4f4e\uff0c\u800c\u662f\uff0c\u6211\u540e\u9762\u63d0\u5230\u7684\u9762\u6807\u8bb0\u7b97\u6cd5\u662f\u5efa\u7acb\u5728\u4e24\u4e24\u56fe\u5c42\u57fa\u7840\u4e0a\u7684\u3002\u6211\u4eec\u5728\u8bbe\u8ba1\u7b97\u6cd5\u7684\u65f6\u5019\uff0c\u4e5f\u53ef\u4ee5\u53ea\u8003\u8651\u4e8c\u4e2a\u56fe\u5c42\u7684\u60c5\u51b5\u3002<\/p>\n<p>\u4ee5\u4e0b\u56fe\u4f5c\u4e3a\u4f8b\u5b50\u5f15\u5165\u6211\u4eec\u7684\u95ee\u9898\uff0c\u4e24\u4e2a\u56fe\u5c42\u5206\u522b\u4e3a\u56fe\u5c42r(red),\u56fe\u5c42b(blue)\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-869\" src=\"http:\/\/www.whudj.cn\/wp-content\/uploads\/2018\/03\/\u95ee\u9898\u5f15\u5165.png\" alt=\"\" width=\"400\" height=\"266\" \/><\/p>\n<p><span style=\"text-decoration: underline;\"><strong>2.\u62d3\u6251\u6a21\u578b<\/strong><\/span><\/p>\n<p>\u53e0\u7f6e\u5206\u6790\u9996\u5148\u5c06red blue\u4e24\u4e2a\u56fe\u5c42\u6784\u5efa\u62d3\u6251\uff0c\u53ca\u5c06\u4e24\u4e2a\u56fe\u5c42\u7684\u51e0\u4f55\u8981\u7d20\u6784\u5efa\u6210\u4e3aDCEL\u63cf\u8ff0\u7684\u56fe\u7ed3\u6784\u3002\u5728geos\u4e2d\uff0c\u8fd9\u4e2a\u7ed3\u6784\u79f0\u4e3a<span class=\"lang:c++ decode:true crayon-inline \">planargraph<\/span>\u00a0\u5e73\u9762\u56fe\u3002\u6240\u6709\u7684\u7ebf\u8981\u7d20\u5728\u76f8\u4ea4\u5904\u6253\u65ad\uff0c\u5e76\u4e14\u6309\u7167\u89c4\u5219\u6784\u6210\u62d3\u6251\u9762\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-870\" src=\"http:\/\/www.whudj.cn\/wp-content\/uploads\/2018\/03\/faces_400.png\" alt=\"\" width=\"400\" height=\"265\" \/><\/p>\n<p>\u4e0a\u56fe\u4e2d\u6784\u6210\u5404\u62d3\u6251\u9762\uff08\u4ee5\u7eff\u8272\u5c0f\u5199\u5b57\u6bcd\u6807\u8bc6\uff09\u7684\u6709\u5411\u8fb9\u5e76\u672a\u6807\u51fa\u3002\u987a\u4fbf\u8bf4\u4e00\u4e0b\uff0c\u8fd9\u91cc\u7528\u4e86\u56db\u79cd\u989c\u8272\u5bf9\u4e0a\u8ff0\u56fe\u5f62\u4fe1\u606f\u586b\u5145\uff0c\u8fd9\u662f\u5728\u56fe\u8bba\u91cc\u6709\u540d\u7684\u201c\u56db\u8272\u586b\u56fe\u201d\uff0c\u53ea\u7528\u56db\u79cd\u989c\u8272\uff0c\u5c31\u53ef\u4ee5\u7ed9\u590d\u6742\u7684\u9576\u5d4c\u56fe\u8fdb\u884c\u586b\u8272\u3002<\/p>\n<p>\u53ef\u4ee5\u770b\u5230 \u5bf9\u8c611 \u6784\u6210\u4e86\u62d3\u6251\u9762 a,b,c,d,e \u3002\u5bf9\u8c61B\u6784\u6210\u62d3\u6251\u9762c,f,i\u3002\u62d3\u6251\u9762d \u7531 \u5bf9\u8c611,C\u6784\u6210\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u62d3\u6251\u9762b\u7531\u5bf9\u8c611\uff0cA\u6784\u6210\uff1b\u62d3\u6251\u9762h\u7531\u5bf9\u8c614,D\u6784\u6210\u3002\u53ef\u4ee5\u770b\u5230\uff0c\u5bf9\u8c61\u4e0e\u62d3\u6251\u9762\u7684\u5173\u7cfb\u4e3a1:N\uff1b\u62d3\u6251\u9762\u4e0e\u5bf9\u8c61\u7684\u5173\u7cfb\u4e3a1\uff1a1\u6216\u8005 1:2 \u3002\u539f\u56e0\u540c\u201c\u8f93\u5165\u6570\u636e\u201d\u4e00\u8282\u63cf\u8ff0\u3002<\/p>\n<p>1\uff09red,blue\u4e8c\u5143\u64cd\u4f5c\u3002<\/p>\n<p>2\uff09red,blue\u4e2d\u540c\u4e00\u5c42\u8981\u7d20\u4e92\u76f8\u4e0d\u538b\u76d6\u3002<\/p>\n<p>\u50cf\u5728<a href=\"http:\/\/www.whudj.cn\/?p=839\">\u53e0\u7f6e\u5206\u6790(3)\uff1a\u7b97\u6cd5-\u5bf9\u8c61\u6a21\u578b\u5230\u62d3\u6251\u6a21\u578b\u7684\u5173\u8054<\/a> \u4e2d\u7684\u63cf\u8ff0\uff0c\u5efa\u7acb\u5bf9\u8c61\u6a21\u578b\u4e0e\u62d3\u6251\u6a21\u578b\u5173\u8054\u7684\u65b9\u6cd5\u662f\u201c\u6807\u8fb9\u201d\uff0c\u5373\u5728\u5f27\u6bb5\u4e0a\u8bb0\u5f55<span class=\"lang:c++ decode:true crayon-inline \">label<\/span>\u00a0(\u75311\u5230\u591a\u4e2a<span class=\"lang:c++ decode:true crayon-inline \">topolocation<\/span>\u00a0\u6784\u6210)\u65b9\u6cd5\u4f7f\u5f97\u201c\u7ebf\u201d\u4ee3\u8868\u201c\u9762\u201d\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u4e0e\u90e8\u5206DCEL\u6570\u636e\u7ed3\u6784\u7a0d\u6709\u533a\u522b\uff0c\u6211\u4eec\u9700\u8981\u5355\u72ec\u7684Edge\u6570\u636e\u7ed3\u6784\u3002\u5176\u4e0a\u805a\u5408 label\u3002\u6709\u5411\u8fb9DirectedEdge\u7684\u5c5e\u6027\u5305\u542b Edge,bDirect(\u7528\u4e8e\u6807\u8bc6\u6709\u5411\u8fb9\u662f\u5426\u4e0eEdge\u540c\u5411)\uff0csymEdge(\u5bf9\u5411\u8fb9)\u3002\u8fd9\u79cd\u8bbe\u8ba1\u53ef\u4ee5\u907f\u514dLabel \u88ab\u5728\u53cc\u5411DirectEdge\u4e0a\u8bb0\u5f55\u4e24\u6b21\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-871\" src=\"http:\/\/www.whudj.cn\/wp-content\/uploads\/2018\/03\/topomodel.png\" alt=\"\" width=\"500\" height=\"313\" \/><\/p>\n<p>\u53ef\u4ee5\u770b\u5230Edge\u4e0d\u4ec5\u662f\u5efa\u7acb\u5bf9\u8c61\u6a21\u578b\u4e0e\u62d3\u6251\u6a21\u578b\u7684\u6865\u6881\uff0c\u800c\u4e14\u4e5f\u662f\u62d3\u6251\u6a21\u578b\u7684\u6838\u5fc3\u3002<\/p>\n<p><strong><span style=\"text-decoration: underline;\">3.\u62d3\u6251\u9762\u6807\u8bb0\u7b97\u6cd5<\/span><\/strong><\/p>\n<p>\u4e3a\u4e86\u6c42\u53d6\u4e24\u4e2a\u56fe\u5c42\u7684 \u4ea4\/\u5e76\/\u5dee \u96c6\u6216\u8005\u8fdb\u884c\u66f4\u5e7f\u6cdb\u7684 spatial join ,\u6216\u8005\u8fdb\u884c\u7a7a\u95f4\u5173\u7cfb\u67e5\u8be2\u7b49\u53e0\u7f6e\u5206\u6790\u5e94\u7528\uff0c\u9700\u8981\u5bf9\u62d3\u6251\u6784\u5efa\u540e\u7684\u62d3\u6251\u9762\u8fdb\u884c\u6807\u8bb0\u3002\u501f\u52a9\u62d3\u6251\u5173\u7cfb\uff0c\u6211\u63d0\u51fa\u4e00\u79cd\u62d3\u6251\u9762\u6807\u8bb0\u65b9\u6cd5\uff0c\u4f18\u70b9\u662f\u4e0d\u9700\u8981\u8fdb\u884c\u51e0\u4f55\u5173\u7cfb\u8fd0\u7b97\uff08\u76f8\u5bf9\u4e8egeos\uff09,\u6548\u7387\u975e\u5e38\u9ad8\u3002<\/p>\n<p>\u8f93\u5165\uff1a\u6784\u5efa\u4e86\u62d3\u6251\u5173\u7cfb\u7684\u62d3\u6251(geos \u79f0\u4e3ageomgraph\/planargraph ,CGAL\u79f0\u4e3aDCEL,GIS\u5e73\u53f0\u4e2d\u591a\u4ee5\u62d3\u6251\u76f8\u79f0)\u6570\u636e\uff0c\u5176\u4e2dEdge\u4e0a\u8bb0\u5f55\u4e86Label\u4fe1\u606f\u3002<\/p>\n<p>\u8f93\u51fa\uff1a\u5bf9\u4e8e\u62d3\u6251\u6570\u636e\u6bcf\u4e2aface\uff0c\u5747\u6807\u8bb0\u5176\u539f\u59cb\u5f52\u5c5e\u9762id\u3002\u56e0\u6b64Face\u4e0a\u8bbe\u7f6e\u4e24\u4e2a\u6807\u8bb0 red_id,blue_id \uff0c\u7f3a\u7701\u503c\u4e3a -1\u3002<\/p>\n<p>\u7b97\u6cd5\u601d\u60f3\uff1a<\/p>\n<p>1)\u5efa\u7acb\u6570\u7ec4 red[id] = edge*\u00a0 blue[id] = edge*\uff1b\u7528\u4e8e\u4fdd\u5b58 \u4e0e red,blue\u56fe\u5c42\u6bcf\u4e2a\u8981\u7d20\u5173\u8054\u7684\u4efb\u610f\u4e00\u4e2aedge\u7684\u6307\u9488\u3002\u56e0\u4e3a\u6211\u4eec\u5047\u8bbered,blue\u56fe\u5c42\u90fd\u662f\u7531\u591a\u8fb9\u5f62\u6784\u6210\u7684\uff0c\u6bcf\u4e2apolygon\u4ec5\u542b\u6709\u4e00\u4e2a\u8054\u901a\u533a\u57df\u00a0 \uff0c\u56e0\u6b64\u53ea\u9700\u8981\u8bb0\u5f55\u4efb\u610f\u4e00\u4e2aedge\u7684\u6307\u9488\u5c31\u591f\u4e86\u3002<\/p>\n<p>2)\u5bf9\u4e8e\u6bcf\u4e00\u4e2aid,\u53d6\u51faedge* \uff0c\u67e5\u8be2label \u4e2d\u5bf9\u5e94id\u5185\u90e8\uff08INTERIOR\uff09\u7684\u4e00\u4fa7\uff08\u5de6\u4fa7\u6216\u8005\u53f3\u4fa7\uff09\u5e76\u4e14\u53d6\u51fa\u8fd9\u4e00\u4fa7\u7684face\uff0c\u5c06red_id\u6216blue_id \u7f6e\u4e3a id,\u653e\u5230 \u961f\u5217 queue\u4e2d\u3002<\/p>\n<p>3)\u5bf9\u6bcf\u6761\u8fb9\uff0c\u6839\u636e \u5f27\u6bb5 Edge \u4e0e \u9762Face \u7684\u5173\u7cfb\uff0c\u83b7\u5f97\u4e00\u4e2a\u5185\u90e8\u9762\u540e\uff0c\u5411\u5185\u8fdb\u884c\u201c\u589e\u957f\u201d,\u5982\u679c\u5185\u90e8\u9762\u90bb\u63a5\u5176\u4ed6\u9762\u7684\u516c\u5171\u8fb9\u4e0d\u662f\u5185\u90e8\u9762\u7684\u8fb9\u754c\uff0c\u90a3\u4e48\u90bb\u63a5\u9762\u4e5f\u662f\u5185\u90e8\u9762\uff0c\u4f9d\u6b21\u8fdb\u884c\u589e\u957f\uff0c\u76f4\u5230\u589e\u957f\u5230\u6240\u6709\u90bb\u63a5\u7684\u5185\u90e8\u9762\u3002<\/p>\n<pre class=\"lang:c++ decode:true\">while(!queue.empty())\r\n{\r\n   Face* face = queue.front();\r\n   vector&lt;DriectedEdge*&gt; deEdges = face-&gt;getEdges();\r\n   for(int i=0;i&lt;deEdges.size();++i)\r\n   {\r\n      DriectedEdge* deEdge = deEdges[i];\r\n      \/\/\u5982\u679cdeEdge\u4ee3\u8868id\u7684\u8fb9\u754c\uff0c\u5219\u4e0d\u7ee7\u7eed\u589e\u957f\r\n      if(deEdge-&gt;m_edge-&gt;m_label.get(id)[LEFT] == INTERIOR &amp;&amp; deEdge-&gt;m_bDirect) \r\n          continue;\r\n      if(deEdge-&gt;m_edge-&gt;m_label.get(id)[RIGHT] == INTERIOR &amp;&amp; !deEdge-&gt;m_bDirect)\r\n          continue;\r\n       \/\/\u83b7\u53d6\u90bb\u63a5\u9762\r\n       Face* neighbourFace =  deEdge.m_bDirect \uff1f deEdge-&gt;m_edge-&gt;getRightFace():\r\n       deEdge-&gt;m_edge-&gt;LeftFace();\r\n       \/\/\u6839\u636e\u5b9e\u9645\u60c5\u51b5\uff0c\u53ef\u80fd\u662fred_id\u6216\u8005 blue_id\r\n       if(neighbourFace-&gt;red_id != id)\r\n       {\r\n          neighbourFace-&gt;red_id = id;\r\n          queue.push_back(neighbourFace);\r\n        }\r\n   }\r\n   queue.pop();\r\n}<\/pre>\n<p>\u4e3e\u4f8b\uff1a<\/p>\n<p>\u4ee5\u5bf9\u8c611\u4e3a\u4f8b\uff0c\u542b\u6709\u5bf9\u8c611\u7684label\u7684Edge\u5171\u6709\u56db\u6bb5\uff0c\u53ef\u4ee5\u4ece\u4efb\u610f\u4e00\u6bb5\u51fa\u53d1\uff0c\u6bd4\u5982\u4ece\u5de6\u4e0a\u89d2\u4e00\u6bb5\u51fa\u53d1\uff0c\u53ef\u4ee5\u786e\u5b9a\u9762a\u4e3a\u5185\u90e8\u9762\u3002\u6807\u8bb0a\uff0c\u5e76\u4e14\u52a0\u5165\u961f\u5217\u4e2d\u3002<\/p>\n<p>\u53d6\u961f\u9996a,\u5bf9\u4e8ea,\u7684\u56db\u6761\u8fb9\uff0c\u5176\u4e2d\u4e00\u6761\u4e3a1\u7684\u8fb9\u754c\u9762\u5916\uff0c\u5176\u4ed6\u4e09\u4e2a\u9762\u4e3ac,b,d\uff0c\u5206\u522b\u6807\u8bb0\u5e76\u52a0\u5165\u961f\u5217\u3002\u79fb\u9664a\u3002<\/p>\n<p>\u53d6c\u7684\u56db\u6761\u8fb9\uff0c\u9664\u4e00\u6761\u4e3a1\u7684\u8fb9\u754c\u5916\uff0c\u5176\u4ed6\u8fb9\u90bb\u63a5 a,b,e,\u56e0\u4e3a a,b\u5df2\u7ecf\u6807\u8bb0\uff0c\u5c06e\u5165\u961f\u5217\u3002\u5c06c\u51fa\u961f\u5217\u3002\u6b64\u65f6\u961f\u5217\u6570\u636e\u4e3a b,d,e\u3002<\/p>\n<p>\u53d6b\u7684\u56db\u6761\u8fb9\uff0c\u90bb\u63a5\u9762\u4e3aa,c,d\uff0c\u5747\u4ee5\u6807\u8bb0\u3002b\u51fa\u961f\u5217\u3002<\/p>\n<p>\u53d6d,\u6ca1\u6709\u65b0\u52a0\u5165\u7684\u5185\u90e8\u9762\uff0cd\u51fa\u961f\u5217\u3002<\/p>\n<p>\u53d6e,\u6ca1\u6709\u65b0\u52a0\u5165\u7684\u5185\u90e8\u9762\uff0ce\u51fa\u961f\u5217\u3002\u5bf9\u8c611\u7684\u6807\u8bb0\u7ed3\u675f,\u6807\u8bb0\u4e3a1\u7684\u9762\u4e3aa,b,c,d,e\u3002<\/p>\n<p><span style=\"text-decoration: underline;\"><strong>\u603b\u7ed3\u548c\u5bf9\u6bd4\uff1a<\/strong><\/span><\/p>\n<p>\u91c7\u7528\u5185\u90e8\u9762\u201c\u589e\u957f\u201d\u7684\u65b9\u6cd5\u5145\u5206\u5229\u7528\u4e86\u5f27\u6bb5-\u62d3\u6251\u9762\u7684\u5173\u7cfb\uff0c\u53d1\u6325\u4e86\u62d3\u6251\u6570\u636e\u6a21\u578b\u7684\u6700\u5927\u4f18\u52bf\u3002\u5bf9\u8c61\u6a21\u578b\u7684\u7f3a\u70b9\u5c31\u662f\u67e5\u8be2\u5bf9\u8c61\u95f4\u7684\u62d3\u6251\u5173\u7cfb\u9700\u8981\u5b9e\u65f6\u8ba1\u7b97\u5f97\u5230\uff0c\u5982\u679c\u5bf9\u4e8e\u7c7b\u4f3c\u4e8e\u7a7a\u95f4\u5206\u6790\u8fd9\u6837\u9700\u8981\u53cd\u590d\u5927\u91cf\u67e5\u8be2\u62d3\u6251\u5173\u7cfb\u7684\u5e94\u7528\uff0c\u4e0d\u91c7\u7528\u62d3\u6251\u6a21\u578b\u5b9e\u73b0\u7684\u6548\u7387\u662f\u975e\u5e38\u4f4e\u4e0b\u7684\u3002\u62d3\u6251\u6a21\u578b\u8fd9\u6837\u7684\u6570\u636e\u7ed3\u6784\u5efa\u7acb\u540e\uff0c\u9762\u6807\u8bb0\u7b97\u6cd5\u5c31\u662f\u5728\u6570\u636e\u7ed3\u6784\u57fa\u7840\u4e0a\u7684\u7b97\u6cd5\uff0c\u5728\u8fd9\u4e2a\u7b97\u6cd5\u7684\u57fa\u7840\u4e0a\uff0c\u8d1f\u8d23\u7684\u5730\u56fe\u53e0\u7f6e\u5e94\u7528\u5f97\u4ee5\u5efa\u7acb\u8d77\u6765\u3002<\/p>\n<p>\u672c\u8282\u6240\u63cf\u8ff0\u7684\u62d3\u6251\u9762\u6807\u8bb0\u7b97\u6cd5\uff0c\u4ee5\u53ca\u5176\u4ed6\u62d3\u6251\u6a21\u578b\u4e0a\u7684\u7b97\u6cd5\uff0c\u662f\u6784\u5efa\u5e94\u7528\u7b97\u6cd5\u7684\u57fa\u7840\u3002\u6211\u8ba4\u4e3a\u5e94\u7528\u7b97\u6cd5\uff0c\u62d3\u6251\u7b97\u6cd5\uff0c\u62d3\u6251\u6a21\u578b\u4e09\u8005\u7684\u5c42\u6b21\u5173\u7cfb\u5982\u4e0b\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-874\" src=\"http:\/\/www.whudj.cn\/wp-content\/uploads\/2018\/03\/level_topology_algorithm.png\" alt=\"\" width=\"300\" height=\"296\" \/><\/p>\n<p>\u62d3\u6251\u9762\u6807\u8bb0\u7b97\u6cd5\u662f\u6240\u6709\u53e0\u7f6e\u7b97\u6cd5\u5fc5\u987b\u5b9e\u73b0\u7684\uff0c\u5bf9\u4e8egeos\uff0c\u5176\u91c7\u7528\u4e86\u5bf9\u8c61\u7684\u8fb9\u754c\u5bf9\u5e94\u7684\u9762\u786e\u5b9a\u4e00\u90e8\u5206\u5185\u90e8\u9762\uff0c\u5982\u5bf9\u8c611\u7684\u8fb9\u754c\u90bb\u63a5\u7684 a,c,d,e\u9762\u53ef\u4ee5\u901a\u8fc7\u67e5\u8be2\u5f27\u6bb5\u76f4\u63a5\u5f97\u5230\uff0c\u4f46\u662f\u5bf9\u4e8e\u5185\u90e8\u7684\u9762b\u5374\u4e0d\u662f\u7531\u62d3\u6251\u9762\u901a\u8fc7\u90bb\u63a5\u5173\u7cfb\u589e\u957f\u51fa\u6765\u7684\uff0c\u800c\u662f\u901a\u8fc7\u4e86\u51e0\u4f55\u8ba1\u7b97\u7684\u65b9\u5f0f\u786e\u5b9ab\u5728A\u4e2d\uff0c\u8fd9\u6837\u7684\u6548\u7387\u5c31\u5f88\u4f4e\u4e86\uff0c\u56e0\u4e3a\u901a\u8fc7\u51e0\u4f55\u8ba1\u7b97\u786e\u5b9a\u7a7a\u95f4\u5173\u7cfb\u662f\u6bd4\u8f83\u8017\u65f6\u7684\u3002geos\u4e4b\u6240\u4ee5\u91c7\u7528\u8fd9\u6837\u7684\u65b9\u6cd5\uff0c\u4e5f\u662f\u56e0\u4e3a geos\u7684\u62d3\u6251\u6a21\u578b\u6ca1\u6709 \u62d3\u6251\u9762\u7684\u6982\u5ff5\uff01\u56e0\u6b64\u62d3\u6251\u9762\u652f\u6301\u7684\u64cd\u4f5c\u5c31\u8981\u7528\u5176\u4ed6\u7684\u65b9\u6cd5\u6765\u201c\u7ed5\u8def\u201d\u4e86\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u53e0\u7f6e\u5206\u6790\u7684\u6838\u5fc3\u4efb\u52a1\u662f\u89e3\u51b3\u7531\u591a\u4e2a\u56fe\u5c42\u751f\u6210\u7684\u65b0\u6570\u636e\u4e2d\uff0c\u6bcf\u4e2a\u65b0\u751f\u6210\u7684\u5bf9\u8c61\u662f\u7531\u54ea\u4e9b\u8f93\u5165\u5bf9 &hellip; <a href=\"http:\/\/www.whudj.cn\/?p=861\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31],"tags":[],"_links":{"self":[{"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/posts\/861"}],"collection":[{"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=861"}],"version-history":[{"count":9,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/posts\/861\/revisions"}],"predecessor-version":[{"id":876,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/posts\/861\/revisions\/876"}],"wp:attachment":[{"href":"http:\/\/www.whudj.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=861"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=861"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=861"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}