{"id":15663,"date":"2024-01-12T15:43:36","date_gmt":"2024-01-12T07:43:36","guid":{"rendered":"https:\/\/www.yimenyun.cn\/emen\/?p=15663"},"modified":"2024-01-12T15:43:36","modified_gmt":"2024-01-12T07:43:36","slug":"voronoi%e7%94%9f%e6%88%90%e8%bd%af%e4%bb%b6%e6%9c%89%e4%bb%80%e4%b9%88%e5%8a%9e%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.yimenyun.cn\/emen\/15663\/","title":{"rendered":"voronoi\u751f\u6210\u8f6f\u4ef6\u6709\u4ec0\u4e48\u529e\u6cd5"},"content":{"rendered":"

Voronoi\u56fe\u662f\u4e00\u79cd\u5e38\u89c1\u7684\u8ba1\u7b97\u51e0\u4f55\u5b66\u6982\u5ff5\uff0c\u5b83\u5728\u5f88\u591a\u9886\u57df\u90fd\u6709\u7740\u5e7f\u6cdb\u7684\u5e94\u7528\u3002\u5176\u4e2d\uff0c\u6700\u5e38\u89c1\u7684\u5e94\u7528\u573a\u666f\u5c31\u662f\u751f\u6210Voronoi\u56fe\u5f62\u3002Voronoi\u56fe\u5f62\u662f\u7531\u4e00\u7ec4\u70b9\u96c6\u5408\u751f\u6210\uff0c\u5e76\u4e14\u5b83\u4eec\u5c06\u7a7a\u95f4\u5206\u5272\u6210\u4e86\u4e00\u4e9b\u591a\u8fb9\u5f62\u533a\u57df\u3002\u8fd9\u4e9b\u591a\u8fb9\u5f62\u533a\u57df\u4e5f\u88ab\u79f0\u4e3aVoronoi\u5355\u5143\uff0c\u6bcf\u4e2aVoronoi\u5355\u5143\u90fd\u662f\u7531\u8ddd\u79bb\u8be5\u5355\u5143\u5185\u90e8\u6700\u8fd1\u7684\u4e00\u4e2a\u70b9\u6240\u5b9a\u4e49\u7684\u3002\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u4f1a\u4ecb\u7ecd\u4e00\u4e9b\u5e38\u89c1\u7684Voronoi\u751f\u6210\u8f6f\u4ef6\u4ee5\u53ca\u5b83\u4eec\u7684\u539f\u7406\u3002<\/p>\n

1. Qhull<\/p>\n

Qhull\u662f\u4e00\u4e2a\u975e\u5e38\u8457\u540d\u7684Voronoi\u751f\u6210\u8f6f\u4ef6\uff0c\u5b83\u662f\u7531C++\u8bed\u8a00\u7f16\u5199\u7684\u3002Qhull\u5b9e\u73b0\u4e86\u4e00\u79cd\u5feb\u901f\u3001\u53ef\u9760\u7684\u7b97\u6cd5\u6765\u751f\u6210Voronoi\u56fe<\/p>\n

<\/figure>\n<\/p>\n

\u5f62\u3002Qhull\u7684\u7b97\u6cd5\u975e\u5e38\u9ad8\u6548\uff0c\u56e0\u6b64\u5b83\u53ef\u4ee5\u5f88\u5feb\u5730\u751f\u6210\u5927\u89c4\u6a21\u7684Voronoi\u56fe\u5f62\u3002\u6b64\u5916\uff0cQhull\u8fd8\u63d0\u4f9b\u4e86\u4e00\u4e9b\u6709\u7528\u7684\u547d\u4ee4\u884c\u5de5\u5177\uff0c\u7528\u4e8e\u5904\u7406Voronoi\u56fe\u5f62\u7684\u6570\u636e\u3002\u7cfb\u7edf\u5f00\u53d1<\/a><\/p>\n

2. CGAL<\/p>\n

CGAL\u662f\u4e00\u4e2a\u5f00\u6e90\u7684\u8ba1\u7b97\u51e0\u4f55\u5b66\u5e93\uff0c\u5b83\u63d0\u4f9b\u4e86\u4e00\u4e9b\u975e\u5e38\u6709\u7528\u7684\u7b97\u6cd5\u548c\u6570\u636e\u7ed3\u6784\uff0c\u7528\u4e8e\u751f\u6210Voronoi\u56fe\u5f62\u3002CGAL\u7684\u7b97\u6cd5\u975e\u5e38\u9ad8\u6548\uff0c\u80fd\u591f\u5f88\u5feb\u5730\u751f\u6210\u5927\u89c4\u6a21\u7684Voronoi\u56fe\u5f62\u3002\u6b64\u5916\uff0cCGAL\u8fd8\u63d0\u4f9b\u4e86\u4e00\u4e9b\u6709\u7528\u7684\u547d\u4ee4\u884c\u5de5\u5177\uff0c\u7528\u4e8e\u5904\u7406Voronoi\u56fe\u5f62\u7684\u6570\u636e\u3002<\/p>\n

3. Voronoi<\/p>\n

Voronoi\u662f\u4e00\u4e2a\u514d\u8d39\u7684Voronoi\u751f\u6210\u8f6f\u4ef6\uff0c\u5b83\u662f\u7531Java\u8bed\u8a00\u7f16\u5199\u7684\u3002Voronoi\u7684\u7b97\u6cd5\u975e\u5e38\u7b80\u5355\uff0c\u56e0\u6b64\u5b83\u7684\u751f\u6210\u901f\u5ea6\u6bd4\u8f83\u6162\uff0c\u4f46\u662f\u5b83\u53ef\u4ee5\u751f\u6210\u975e\u5e38\u6f02\u4eae\u7684Voronoi\u56fe\u5f62\u3002\u6b64\u5916\uff0cVoronoi\u8fd8\u63d0\u4f9b\u4e86\u4e00\u4e9b\u6709\u7528\u7684\u547d\u4ee4\u884c\u5de5\u5177\uff0c\u7528\u4e8e\u5904\u7406Voronoi\u56fe\u5f62\u7684\u6570\u636e\u3002<\/p>\n

4. VoronoiDiagramGenerator<\/p>\n

VoronoiDiagramGenerator\u662f\u4e00\u4e2a\u5f00\u6e90\u7684Voronoi\u751f\u6210\u8f6f\u4ef6\uff0c\u5b83\u662f\u7531C++\u8bed\u8a00\u7f16\u5199\u7684\u3002VoronoiDiagramGenerator\u7684\u7b97\u6cd5\u975e\u5e38\u9ad8\u6548\uff0c\u56e0\u6b64\u5b83\u53ef\u4ee5\u5f88\u5feb\u5730\u751f\u6210\u5927\u89c4\u6a21\u7684Voronoi\u56fe\u5f62\u3002\u6b64\u5916\uff0cVoronoiDiagramGenerator\u8fd8\u63d0\u4f9b\u4e86\u4e00\u4e9b\u6709\u7528\u7684\u547d\u4ee4\u884c\u5de5\u5177\uff0c\u7528\u4e8e\u5904\u7406Voronoi\u56fe\u5f62\u7684\u6570\u636e\u3002<\/p>\n

\u603b\u7ed3\uff1a<\/p>\n

\u4ee5\u4e0a\u662f\u4e00\u4e9b\u5e38\u89c1\u7684Voronoi\u751f\u6210\u8f6f\u4ef6\u4ee5\u53ca\u5b83\u4eec\u7684\u539f\u7406\u3002\u8fd9\u4e9b\u8f6f\u4ef6\u90fd\u6709\u5404\u81ea\u7684\u4f18\u7f3a\u70b9\uff0c\u56e0\u6b64\u5728\u9009\u62e9\u8f6f\u4ef6\u65f6\u9700\u8981\u6839\u636e\u5b9e\u9645\u9700\u8981\u8fdb\u884c\u9009\u62e9\u3002\u5982\u679c\u9700\u8981\u751f\u6210\u5927\u89c4\u6a21\u7684Voronoi\u56fe\u5f62\uff0c\u90a3\u4e48Qhull\u548cCGAL\u53ef\u80fd\u662f\u66f4\u597d\u7684\u9009\u62e9\uff1b\u5982\u679c\u9700\u8981\u751f\u6210\u6f02thonny\u6253\u5305exe<\/a>\u4eae\u7684Voronoi\u56fe\u5f62\uff0c\u90a3\u4e48Voronoi\u53ef\u80fd\u662f\u66f4\u597d\u7684\u9009\u62e9\u3002\u65e0\u8bba\u9009\u62e9\u54ea\u79cd\u8f6f\u4ef6\uff0c\u90fd\u9700\u8981\u5bf9Voronoi\u56fe\u5f62\u7684\u539f\u7406\u6709\u4e00\u5b9a\u7684\u4e86\u89e3\uff0c\u8fd9\u6837\u624d\u80fd\u66f4\u597d\u5730\u4f7f\u7528\u8fd9\u4e9b\u8f6f\u4ef6\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

Voronoi\u56fe\u662f\u4e00\u79cd\u5e38\u89c1\u7684\u8ba1\u7b97\u51e0\u4f55\u5b66\u6982\u5ff5\uff0c\u5b83\u5728\u5f88\u591a\u9886\u57df\u90fd\u6709\u7740\u5e7f\u6cdb\u7684\u5e94\u7528\u3002\u5176\u4e2d\uff0c\u6700\u5e38\u89c1\u7684\u5e94\u7528\u573a\u666f\u5c31\u662f\u751f\u6210Voronoi\u56fe\u5f62\u3002Voronoi\u56fe\u5f62\u662f\u7531\u4e00\u7ec4\u70b9\u96c6\u5408\u751f\u6210\uff0c\u5e76\u4e14\u5b83\u4eec\u5c06\u7a7a\u95f4\u5206\u5272\u6210\u4e86\u4e00\u4e9b\u591a\u8fb9\u5f62\u533a\u57df<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[9352,19411,1882,1082,135],"topic":[],"class_list":["post-15663","post","type-post","status-publish","format-standard","hentry","category-exekf","tag-elementexe","tag-windows","tag-1882","tag-1082","tag-135"],"_links":{"self":[{"href":"https:\/\/www.yimenyun.cn\/emen\/wp-json\/wp\/v2\/posts\/15663","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.yimenyun.cn\/emen\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.yimenyun.cn\/emen\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.yimenyun.cn\/emen\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/www.yimenyun.cn\/emen\/wp-json\/wp\/v2\/comments?post=15663"}],"version-history":[{"count":1,"href":"https:\/\/www.yimenyun.cn\/emen\/wp-json\/wp\/v2\/posts\/15663\/revisions"}],"predecessor-version":[{"id":15700,"href":"https:\/\/www.yimenyun.cn\/emen\/wp-json\/wp\/v2\/posts\/15663\/revisions\/15700"}],"wp:attachment":[{"href":"https:\/\/www.yimenyun.cn\/emen\/wp-json\/wp\/v2\/media?parent=15663"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.yimenyun.cn\/emen\/wp-json\/wp\/v2\/categories?post=15663"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.yimenyun.cn\/emen\/wp-json\/wp\/v2\/tags?post=15663"},{"taxonomy":"topic","embeddable":true,"href":"https:\/\/www.yimenyun.cn\/emen\/wp-json\/wp\/v2\/topic?post=15663"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}