{"id":108118,"date":"2019-05-21T16:02:08","date_gmt":"2019-05-21T08:02:08","guid":{"rendered":"http:\/\/www.fagao.me\/?p=108118"},"modified":"2019-05-21T16:02:08","modified_gmt":"2019-05-21T08:02:08","slug":"%e5%b9%b2%e8%b4%a7%e6%b7%b1%e5%85%a5%e7%90%86%e8%a7%a3%e7%a9%ba%e9%97%b4%e6%90%9c%e7%b4%a2%e7%ae%97%e6%b3%95-%e6%95%b0%e7%99%be%e4%b8%87%e6%95%b0%e6%8d%ae%e4%b8%ad%e7%9a%84%e7%9e%ac","status":"publish","type":"post","link":"https:\/\/www.fagao.me\/p\/108118.htm","title":{"rendered":"\u5e72\u8d27|\u6df1\u5165\u7406\u89e3\u7a7a\u95f4\u641c\u7d22\u7b97\u6cd5 \u2014\u2014\u6570\u767e\u4e07\u6570\u636e\u4e2d\u7684\u77ac\u65f6\u641c\u7d22"},"content":{"rendered":"<p><img decoding=\"async\" src=\"https:\/\/www.fagao.me\/images\/uploads\/2021_004.jpg\" alt=\"\"><\/p>\n<div class=\"focusup\"><\/div>\n<p><strong>\u5168\u7403\u4eba\u5de5\u667a\u80fd<\/strong><span>\uff1a\u4e13\u6ce8\u4e3aAI\u5f00\u53d1\u8005\u63d0\u4f9b\u5168\u7403\u6700\u65b0AI\u6280\u672f\u52a8\u6001\u548c\u793e\u7fa4\u4ea4\u6d41\u3002\u7528\u6237\u6765\u6e90\u5305\u62ec\uff1a\u5317\u5927\u3001\u6e05\u534e\u3001\u4e2d\u79d1\u9662\u3001\u590d\u65e6\u3001\u9ebb\u7701\u7406\u5de5\u3001\u5361\u5185\u57fa\u6885\u9686\u3001\u65af\u5766\u798f\u3001\u54c8\u4f5b\u3001\u725b\u6d25\u3001\u5251\u6865\u7b49\u4e16\u754c\u540d\u6821\u7684AI\u6280\u672f\u7855\u58eb\u3001\u535a\u58eb\u548c\u6559\u6388\uff1b\u4ee5\u53ca\u8c37\u6b4c\u3001\u817e\u8baf\u3001\u767e\u5ea6\u3001\u8138\u8c31\u3001\u5fae\u8f6f\u3001\u534e\u4e3a\u3001\u963f\u91cc\u3001\u6d77\u5eb7\u5a01\u89c6\u3001\u6ef4\u6ef4\u3001\u82f1\u4f1f\u8fbe\u7b49\u5168\u7403\u540d\u4f01\u7684AI\u5f00\u53d1\u8005\u548cAI\u79d1\u5b66\u5bb6\u3002<\/span><\/p>\n<p><span>\u6587\u7ae0\u6765\u6e90\uff1amedium \u7f16\u8bd1\uff1a\u5b59\u83c1<\/span><\/p>\n<\/p>\n<p><strong><span><span>\u4e0a\u56fe\u4e3a\u5168\u7403<\/span>138,000<span>\u4e2a\u70ed\u95e8\u5730\u70b9\u7684<\/span>R-tree<span>\u7684\u53ef\u89c6\u5316\u56fe\u793a<\/span><\/span><\/strong><\/p>\n<p><span><span>\u6211\u8fd9\u4e2a\u4eba\u6c89\u8ff7\u4e8e\u8f6f\u4ef6\u6027\u80fd\u7684\u63d0\u5347\uff0c\u6211\u5728<\/span>Mapbox<span>\uff08<\/span>https:\/\/www.mapbox.com\/<span>\uff09\u7684\u804c\u8d23\u4e4b\u4e00\u5c31\u662f\u627e\u5230\u80fd\u4f7f\u6211\u4eec\u7684\u6620\u5c04\u5e73\u53f0\u66f4\u52a0\u5feb\u901f\u7684\u65b9\u6cd5\u3002\u5f53\u9762\u5bf9\u5927\u89c4\u6a21\u7684\u7a7a\u95f4\u6570\u636e\u65f6\uff0c\u4e00\u4e2a\u6700\u6709\u6548\u4e5f\u662f\u6700\u91cd\u8981\u7684\u65b9\u6cd5\u5c31\u662f\u7a7a\u95f4\u7d22\u5f15<\/span><\/span><span><span>\uff08<\/span><span>https:\/\/en.wikipedia.org\/wiki\/Spatial_database#Spatial_index<\/span><span>\uff09\u3002<\/span><\/span><\/p>\n<p><span><span>\u7a7a\u95f4\u7d22\u5f15\u662f\u4e00\u7cfb\u5217\u53ef\u4ee5\u901a\u8fc7\u6392\u5217\u51e0\u4f55\u6570\u636e\u6765\u8fdb\u884c\u9ad8\u6548\u7d22\u5f15\u7684\u7b97\u6cd5\u3002\u4f8b\u5982\uff0c\u67e5\u8be2<\/span>\u201c<span>\u672c\u533a\u57df\u6240\u6709\u7684\u5efa\u7b51<\/span>\u201d<span>\u3001<\/span>\u201c<span>\u8ddd\u6b64\u70b9\u6700\u8fd1\u7684<\/span>1000<span>\u4e2a\u52a0\u6cb9\u7ad9<\/span>\u201d<span>\u7b49\u95ee\u9898\uff0c\u67e5\u8be2\u7ed3\u679c\u5f80\u5f80\u80fd\u591f\u5728\u51e0\u6beb\u79d2\u5185\u8fd4\u56de\uff0c\u5373\u4f7f\u6240\u8981\u67e5\u8be2\u7684\u76ee\u6807\u6709\u51e0\u767e\u4e07\u4e2a\u3002<\/span><\/span><\/p>\n<p><span><span>\u7a7a\u95f4\u7d22\u5f15\u662f\u6570\u636e\u5e93\u5982<\/span>PostGIS<span>\u7684\u57fa\u7840\uff0c\u540c\u65f6\u4e5f\u662f\u6211\u4eec\u5e73\u53f0\u7684\u6838\u5fc3\u3002\u5728\u5f88\u591a\u5176\u4ed6\u4efb\u52a1\u5c24\u5176\u662f\u6027\u80fd\u81f3\u5173\u91cd\u8981\u7684\u4efb\u52a1\u4e2d\uff0c\u7a7a\u95f4\u7d22\u5f15\u4e5f\u975e\u5e38\u91cd\u8981\u3002\u7279\u522b\u7684\uff0c\u5728\u5904\u7406\u9065\u6d4b\u6570\u636e\u65f6\uff0c\u6211\u4eec\u9700\u8981\u5bf9\u6570\u767e\u4e07\u4e2a<\/span>GPS<span>\u6837\u672c\u4e0e\u9053\u8def\u7f51\u8fdb\u884c\u5339\u914d\uff0c\u4ee5\u4ea7\u751f\u5bfc\u822a\u6240\u7528\u7684\u5b9e\u65f6\u4ea4\u901a\u6570\u636e\u3002\u5728\u5ba2\u6237\u7aef\uff0c\u6211\u4eec\u5219\u9700\u8981\u5b9e\u65f6\u5728\u5730\u56fe\u4e2d\u5c55\u793a\u5730\u6807\uff0c\u4ee5\u53ca\u5728\u9f20\u6807\u6ede\u7559\u65f6\u67e5\u627e\u9f20\u6807\u6240\u6307\u7684\u76ee\u6807\u3002<\/span><\/span><\/p>\n<p><span><span>\u5728\u8fc7\u53bb\u7684\u56db\u5e74\u91cc\uff0c\u6211\u5efa\u7acb\u4e86\u4e00\u4e9b\u5feb\u901f\u7684\u7528\u4e8e\u7a7a\u95f4\u641c\u7d22\u7684<\/span>Java <span>\u5e93\uff0c\u5305\u62ec\uff1a<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span><\/span>rbush<span>\uff08<\/span>https:\/\/github.com\/mourner\/rbush<span>\uff09<\/span>, <\/span><\/p>\n<\/li>\n<li>\n<p><span>rbush-knn<span>\uff08<\/span>https:\/\/github.com\/mourner\/rbush-knn\/<span>\uff09<\/span>, <\/span><\/p>\n<\/li>\n<li>\n<p><span>kdbush<span>\uff08<\/span>https:\/\/github.com\/mourner\/kdbush<span>\uff09<\/span>, <\/span><\/p>\n<\/li>\n<li>\n<p><span>geokdbush<span>\uff08<\/span>https:\/\/github.com\/mourner\/geokdbush<span>\uff09\u3002<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<p><span><span>\u672c\u6587\u4e2d\uff0c\u6211\u4f1a\u52aa\u529b\u5c06\u8fd9\u51e0\u4e2a\u5e93\u80cc\u540e\u7684\u539f\u7406\u8bb2\u89e3\u6e05\u695a\u3002<\/span><\/span><\/p>\n<p><span><strong><span><\/span><\/strong><\/span><span><strong><span>\u7a7a\u95f4\u641c\u7d22\u95ee\u9898<\/span><\/strong><\/span><\/p>\n<p><span><span>\u7a7a\u95f4\u6570\u636e\u6709\u4e24\u79cd\u57fa\u672c\u67e5\u8be2\u7c7b\u578b\uff1a\u6700\u76f8\u90bb\u67e5\u8be2\u548c\u8303\u56f4\u67e5\u8be2\u3002\u8fd9\u4e24\u79cd\u67e5\u8be2\u90fd\u662f\u5f88\u591a\u51e0\u4f55\u95ee\u9898\u548c<\/span>GIS<span>\u95ee\u9898\u7684\u57fa\u672c\u6a21\u5757\u3002<\/span><\/span><\/p>\n<p><span><strong><span><\/span><\/strong><\/span><span><strong><span>K<span>\u76f8\u90bb<\/span><\/span><\/strong><\/span><\/p>\n<\/p>\n<p><span>\u5982\u679c\u7ed9\u51fa\u51e0\u5343\u4e2a\u6570\u636e\u70b9\uff0c\u5982\u57ce\u5e02\u7684\u5750\u6807\uff0c\u6211\u4eec\u5982\u4f55\u68c0\u7d22\u51fa\u4e0e\u67d0\u7279\u5b9a\u67e5\u8be2\u70b9\u6700\u76f8\u90bb\u7684\u70b9\u5462\uff1f<\/span><\/p>\n<ul>\n<li>\n<p><span>\u6211\u4eec\u5f88\u81ea\u7136\u60f3\u5230\u7684\u65b9\u6cd5\u53ef\u80fd\u662f\u8fd9\u6837\uff1a<\/span><\/p>\n<\/li>\n<li>\n<p><span><span>\u8ba1\u7b97\u6bcf\u4e2a\u70b9\u4e0e\u67e5\u8be2\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002<\/span><\/span><\/p>\n<\/li>\n<li>\n<p><span><span>\u6309\u8ddd\u79bb\u5927\u5c0f\u5bf9\u6240\u6709\u7684\u70b9\u8fdb\u884c\u6392\u5e8f\u3002<\/span><\/span><\/p>\n<\/li>\n<li>\n<p><span><span><span>\u8fd4\u56de\u524d<\/span>k<span>\u4e2a\u70b9\u3002<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<p><span>\u5f53\u6709\u51e0\u767e\u4e2a\u6570\u636e\u70b9\u65f6\u6211\u4eec\u53ef\u4ee5\u7528\u8fd9\u79cd\u65b9\u6cd5\uff0c\u4f46\u662f\u5f53\u6211\u4eec\u9762\u4e34\u6570\u767e\u4e07\u7684\u6570\u636e\u70b9\u65f6\uff0c\u8fd9\u79cd\u65b9\u6cd5\u5c31\u663e\u5f97\u592a\u6162\u4e14\u65e0\u6cd5\u5e94\u7528\u5230\u5b9e\u9645\u60c5\u666f\u3002<\/span><\/p>\n<p><span><strong><span><\/span><\/strong><\/span><span><strong><span>\u8303\u56f4\u67e5\u8be2\u548c\u534a\u5f84\u67e5\u8be2<\/span><\/strong><\/span><\/p>\n<p><span>\u5982\u4f55\u5728\u4e00\u4e2a\u7ed9\u5b9a\u7684\u8303\u56f4\u5185\u68c0\u7d22\u51fa\u6240\u6709\u7684\u6570\u636e\u70b9\u5462\uff1f\u8fd9\u91cc\u53c8\u5206\u4e3a\u4e24\u79cd\u60c5\u51b5\uff0c\u4e00\u79cd\u662f\u6240\u7ed9\u8303\u56f4\u662f\u77e9\u5f62\u7684\u60c5\u51b5\uff08\u8303\u56f4\u67e5\u8be2\uff09\uff0c\u53e6\u4e00\u79cd\u662f\u6240\u7ed9\u8303\u56f4\u662f\u5706\u7684\u60c5\u51b5\uff08\u534a\u5f84\u67e5\u8be2\uff09\u3002<\/span><\/p>\n<p><span>\u4e00\u79cd\u6734\u7d20\u7684\u65b9\u6cd5\u662f\u904d\u5386\u6240\u6709\u6570\u636e\u70b9\u5e76\u5224\u65ad\u6bcf\u4e00\u4e2a\u70b9\u662f\u5426\u5728\u7ed9\u5b9a\u8303\u56f4\u5185\uff0c\u4f46\u5f53\u6570\u636e\u96c6\u5f88\u5927\u65f6\uff0c\u8fd9\u79cd\u65b9\u6cd5\u4e5f\u56e0\u4f4e\u6548\u800c\u5931\u53bb\u4e86\u5b9e\u7528\u6027\u3002<\/span><\/p>\n<p><span><strong><span><\/span><\/strong><\/span><span><strong><span>\u7a7a\u95f4\u6811\u662f\u5982\u4f55\u5de5\u4f5c\u7684<\/span><\/strong><\/span><\/p>\n<p><span>\u5927\u89c4\u6a21\u5730\u89e3\u51b3\u8fd9\u4e24\u79cd\u95ee\u9898\u65f6\u5c31\u9700\u8981\u5c06\u6570\u636e\u70b9\u8f6c\u6362\u5230\u7a7a\u95f4\u7d22\u5f15\u4e2d\u3002\u7531\u4e8e\u6570\u636e\u8f6c\u53d8\u7684\u9891\u7387\u4f1a\u8fdc\u8fdc\u5c11\u4e8e\u67e5\u8be2\u7684\u9891\u7387\uff0c\u56e0\u6b64\u5c06\u6570\u636e\u8f6c\u53d8\u5230\u7a7a\u95f4\u7d22\u5f15\u7684\u82b1\u9500\u5bf9\u4e8e\u4e4b\u540e\u7684\u5feb\u901f\u641c\u7d22\u662f\u975e\u5e38\u503c\u5f97\u7684\u3002<\/span><\/p>\n<p><span><span>\u51e0\u4e4e\u6240\u6709\u7684\u7a7a\u95f4\u6570\u636e\u7ed3\u6784\u90fd\u5177\u6709\u76f8\u540c\u7684\u539f\u7406\uff0c\u4ee5\u5b9e\u73b0\u6709\u6548\u7684\u641c\u7d22\uff1a\u5206\u652f\u548c\u7ed1\u5b9a\uff08<\/span>https:\/\/en.wikipedia.org\/wiki\/Branch_and_bound<span>\uff09\u3002\u6570\u636e\u88ab\u6392\u5217\u5728\u4e00\u4e2a\u6811\u72b6\u7ed3\u6784\u4e2d\uff0c\u56e0\u6b64\u5f53\u5728\u67d0\u4e00\u8282\u70b9\u7684\u67d0\u4e00\u5206\u652f\u4e0d\u7b26\u5408\u67e5\u8be2\u6761\u4ef6\u65f6\uff0c\u8be5\u5206\u652f\u4e4b\u4e0b\u7684\u6240\u6709\u7684\u8282\u70b9\u90fd\u53ef\u88ab\u7565\u8fc7\u3002<\/span><\/span><\/p>\n<p><span><strong><span><\/span><\/strong><\/span><span><strong><span>R-tree<\/span><\/strong><\/span><\/p>\n<p><span><span>\u73b0\u5728\u8ba9\u6211\u4eec\u6765\u770b\u4e00\u4e2a\u4f8b\u5b50\uff0c\u4e0b\u56fe\u7684\u793a\u4f8b\u5c06\u6240\u6709\u7684\u8f93\u5165\u70b9\u5206\u5728<\/span>9<span>\u4e2a\u77e9\u5f62\u6846\u4e2d\uff0c\u5e76\u4e14\u6bcf\u4e2a\u77e9\u5f62\u6846\u4e2d\u7684\u70b9\u7684\u6570\u76ee\u76f8\u540c\uff1a<\/span><\/span><\/p>\n<\/p>\n<p><span><span>\u73b0\u5728\uff0c\u6211\u4eec\u5c06\u6bcf\u4e2a\u77e9\u5f62\u6846\u518d\u5206\u4e3a<\/span>9<span>\u4e2a\u66f4\u5c0f\u7684\u77e9\u5f62\u6846\uff1a<\/span><\/span><span><span><\/span><\/span><\/p>\n<\/p>\n<p><span><\/span><span><span>\u6211\u4eec\u4f1a\u5c06\u8fd9\u4e2a\u8fc7\u7a0b\u91cd\u590d\u51e0\u6b21\uff0c\u627e\u5230\u6700\u540e\u6bcf\u4e2a\u77e9\u5f62\u6846\u5305\u542b\u7684\u70b9\u4e0d\u8d85\u8fc7<\/span>9<span>\u4e2a\uff1a<\/span><\/span><span><span><\/span><\/span><\/p>\n<\/p>\n<p><span><\/span><span><span>\u6700\u7ec8\u6211\u4eec\u5f97\u5230\u4e86<\/span>R-tree<span>\uff08<\/span>https:\/\/en.wikipedia.org\/wiki\/R-tree<span>\uff09\uff0c\u8fd9\u53ef\u4ee5\u8bf4\u662f\u6700\u5e38\u89c1\u7684\u7a7a\u95f4\u6570\u636e\u7ed3\u6784\uff0c\u88ab\u5e7f\u6cdb\u7528\u4e8e\u73b0\u4ee3\u7a7a\u95f4\u6570\u636e\u96c6\u548c\u6e38\u620f\u5f15\u64ce\uff0c\u6211\u7684<\/span>rbush J<\/span><span>S\u5e93\u4e2d\u4e5f\u5b9e\u73b0\u4e86R-tree\u3002<\/span><\/p>\n<p><span><span>\u9664\u4e86\u70b9\u4e4b\u5916\uff0c<\/span>R-tree<span>\u4e5f\u53ef\u4ee5\u5305\u542b\u77e9\u5f62\uff0c\u7528\u4e8e\u8868\u793a\u4efb\u4f55\u51e0\u4f55\u5bf9\u8c61\u3002\u540c\u65f6\uff0c<\/span>R-tree<span>\u4e5f\u53ef\u6269\u5c55\u5230<\/span>3<span>\u7ef4\u6216\u9ad8\u7ef4\u7684\u60c5\u51b5\u3002\u4e3a\u4e86\u6613\u4e8e\u8bf4\u660e\uff0c\u672c\u6587\u4e2d\u4ee5\u4e8c\u7ef4\u7684\u60c5\u51b5\u4e3e\u4f8b\u8bb2\u89e3\u3002<\/span><\/span><\/p>\n<p><span><strong><span>K-d tree<\/span><\/strong><\/span><\/p>\n<p><span>K-d tree <span>\uff08<\/span>https:\/\/en.wikipedia.org\/wiki\/K-d_tree<span>\uff09\u662f\u53e6\u5916\u4e00\u79cd\u6d41\u884c\u7684\u7a7a\u95f4\u6570\u636e\u7ed3\u6784\u3002\u6211\u7684<\/span>kdbush JS<span>\u5e93\uff08<\/span>https:\/\/github.com\/mourner\/kdbush<span>\uff09\uff0c\u7528\u4e8e\u9759\u6001\u7684\u4e8c\u7ef4\u7684\u7d22\u5f15\uff0c\u5c31\u662f\u57fa\u4e8e<\/span>K-d tree<span>\u5b9e\u73b0\u7684\u3002<\/span>K-d tree<span>\u4e0e<\/span>R-tree<span>\u7c7b\u4f3c\uff0c\u4f46\u4e0e\u5728\u6bcf\u4e00\u5c42\u6b21\u4e0a\u5c06\u6570\u636e\u70b9\u5747\u5206\u5230\u51e0\u4e2a\u77e9\u5f62\u6846\u4e2d\u4e0d\u540c\u7684\u662f\uff0c<\/span>K-d tree<span>\u4f1a\u5c06\u6570\u636e\u70b9\u4ece\u4e2d\u95f4\u5206\u4e3a\u4e24\u90e8\u5206<\/span>\u2014\u2014<span>\u6216\u5de6\u6216\u53f3\uff0c\u6216\u4e0a\u6216\u4e0b\uff0c\u6bcf\u4e2a\u5c42\u6b21\u4e0a\u90fd\u4f1a\u5728<\/span>x<span>\u5750\u6807\u548c<\/span>y<span>\u5750\u6807\u8fdb\u884c\u5212\u5206\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/span><\/span><\/p>\n<\/p>\n<p><span><\/span><span><span>\u4e0e<\/span>R-tree<span>\u76f8\u6bd4\uff0c<\/span>K-d tree<span>\u53ea\u80fd\u5305\u542b\u6570\u636e\u70b9\u800c\u4e0d\u80fd\u5305\u542b\u77e9\u5f62\uff0c\u5e76\u4e14\u4e0d\u80fd\u6dfb\u52a0\u6216\u5220\u9664\u70b9\u3002\u4f46\u662f<\/span>K-d tree<span>\u5728\u9ad8\u6548\u7684\u540c\u65f6\u66f4\u6613\u5b9e\u73b0\u3002<\/span>R-tree<span>\u548c<\/span>K-d tree <span>\u90fd\u91c7\u7528\u4e86\u76f8\u540c\u7684\u539f\u5219\uff0c\u5373\u5c06\u6570\u636e\u7ec4\u7ec7\u4e3a\u6811\u7684\u7ed3\u6784\u3002\u56e0\u6b64\uff0c\u4e0b\u6587\u6240\u8ba8\u8bba\u7684\u641c\u7d22\u7b97\u6cd5\u4e0e\u6811\u7684\u641c\u7d22\u7b97\u6cd5\u76f8\u540c\u3002<\/span><\/span><\/p>\n<p><span><strong><span>\u5728\u6811\u4e2d\u7684\u8303\u56f4\u67e5\u8be2<\/span><\/strong><\/span><\/p>\n<p><span>\u4e0b\u56fe\u662f\u4e00\u4e2a\u5178\u578b\u7684\u7a7a\u95f4\u6811\uff1a<\/span><\/p>\n<\/p>\n<p><span><span>\u6bcf\u4e00\u4e2a\u8282\u70b9\u7684\u5b69\u5b50\u6570\u90fd\u56fa\u5b9a\uff0c\u672c\u6587\u4e2d<\/span>R-tree<span>\u7684\u4f8b\u5b50\u4e2d\u4e3a<\/span>9<span>\u3002\u90a3\u4e48\u6811\u7684\u6df1\u5ea6\u662f\u591a\u5c11\u5462\uff1f\u5bf9\u4e8e\u6709<\/span>1,000,000 <span>\u4e2a\u8282\u70b9\u7684\u6811\uff0c\u9ad8\u5ea6\u4e3a<\/span>(log(1000000) \/ log(9)) = 7<span>\u3002<\/span><\/span><\/p>\n<p><span><span>\u5f53\u6211\u4eec\u5728\u6811\u4e2d\u6267\u884c\u8303\u56f4\u641c\u7d22\u7b97\u6cd5\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u4ece\u6811\u6839\u5f00\u59cb\u5411\u4e0b\uff0c\u5ffd\u7565\u6240\u6709\u4e0d\u6ee1\u8db3\u67e5\u8be2\u6846\u7684\u77e9\u5f62\u6846\u3002\u5bf9\u4e8e\u4e00\u4e2a\u5c0f\u7684\u67e5\u8be2\u6846\uff0c\u8fd9\u610f\u5473\u7740\u5728\u6811\u7684\u6bcf\u4e00\u5c42\u4e0a\u53ea\u9700\u8981\u641c\u7d22\u51e0\u4e2a\u77e9\u5f62\u6846\u5373\u53ef\u3002\u56e0\u6b64\uff0c\u5f97\u5230\u6700\u7ec8\u67e5\u8be2\u7ed3\u679c\u7684\u65f6\u95f4\u4e0d\u4f1a\u591a\u4e8e<\/span>60<span>\u6b21\u77e9\u5f62\u6846\u7684\u6bd4\u8f83\uff08<\/span>7 * 9 = 63<span>\uff09\uff0c\u800c\u4e0d\u662f<\/span>1,000,000<span>\u6b21\u6bd4\u8f83<\/span>,<span>\u8fd9\u4f7f\u5176\u6bd4\u539f\u59cb\u7684\u5faa\u73af\u641c\u7d22\u5feb\u4e86<\/span>16000<span>\u500d\u3002<\/span><\/span><\/p>\n<p><span><span><span>\u4f7f\u7528<\/span>R-tree <span>\u7684\u8303\u56f4\u641c\u7d22\u6240\u7528\u7684\u5e73\u5747\u65f6\u95f4\u4e3a<\/span><\/span><strong><span>O<\/span><\/strong><span>(K log(N))<span>\uff08\u8fd9\u91cc<\/span><span>K<\/span><span>\u662f\u7ed3\u679c\u7684\u6570\u76ee\uff09\uff0c\u800c\u7ebf\u6027\u641c\u7d22\u6240\u7528\u65f6\u95f4\u4e3a<\/span><\/span><strong><span>O<\/span><\/strong><span>(N)<span>\u3002\u56e0\u6b64\uff0c<\/span><span>R-tree<\/span><span>\u7684\u641c\u7d22\u662f\u975e\u5e38\u9ad8\u6548\u7684\u7b97\u6cd5\u3002<\/span><\/span><\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.fagao.me\/images\/uploads\/F032.png\" alt=\"\"><\/p>\n<p><span><span>\u8fd9\u91cc\u6211\u4eec\u9009\u7528<\/span>9<span>\u4f5c\u4e3a\u6bcf\u4e00\u8282\u70b9\u7684\u5b69\u5b50\u6570\uff0c<\/span>9<span>\u662f\u4e00\u4e2a\u5f88\u4e0d\u9519\u7684\u9ed8\u8ba4\u503c\uff0c\u4f46\u662f\u7406\u8bba\u4e0a\uff0c\u8d8a\u9ad8\u7684\u6570\u503c\u610f\u5473\u7740\u66f4\u5feb\u7684\u7d22\u5f15\u548c\u66f4\u6162\u7684\u67e5\u8be2\uff0c\u53cd\u4e4b\u4ea6\u7136\u3002<\/span><\/span><\/p>\n<p><span><strong><span>K<span>\u76f8\u90bb\u67e5\u8be2<\/span><\/span><\/strong><\/span><\/p>\n<p><span><span>\u76f8\u90bb\u67e5\u8be2\u76f8\u8f83\u4e8e\u8303\u56f4\u67e5\u8be2\u7a0d\u96be\u4e00\u4e9b\u3002\u5bf9\u4e8e\u4e00\u4e2a\u7279\u5b9a\u7684\u67e5\u8be2\u70b9\uff0c\u6211\u4eec\u600e\u4e48\u77e5\u9053\u54ea\u68f5\u5b50\u6811\u4e0a\u7684\u8282\u70b9\u4e0e\u8be5\u8282\u70b9\u6700\u76f8\u90bb\u5462\uff1f\u6211\u4eec\u53ef\u4ee5\u505a\u534a\u5f84\u67e5\u8be2\uff0c\u4f46\u6211\u4eec\u4e0d\u77e5\u9053\u5982\u4f55\u9009\u62e9\u534a\u5f84\u7684\u5927\u5c0f<\/span>\u2014\u2014<span>\u6700\u76f8\u90bb\u7684\u70b9\u53ef\u80fd\u5728\u6811\u4e2d\u79bb\u67e5\u8be2\u70b9\u5f88\u8fdc\u7684\u4f4d\u7f6e\u3002\u5982\u679c\u9760\u589e\u52a0\u534a\u5f84\u6765\u627e\u5230\u4e00\u4e9b\u70b9\u53c8\u4f1a\u6781\u5927\u5730\u964d\u4f4e\u641c\u7d22\u6548\u7387\u3002<\/span><\/span><\/p>\n<p><span><span>\u4e3a\u4e86\u5728\u7a7a\u95f4\u6811\u4e2d\u627e\u5230\u4e00\u4e9b\u6700\u76f8\u90bb\u70b9\uff0c\u6211\u4eec\u4f1a\u5229\u7528\u53e6\u4e00\u4e2a\u7b80\u6d01\u7684\u6570\u636e\u7ed3\u6784<\/span>\u2014\u2014<span>\u4f18\u5148\u961f\u5217\uff08<\/span>https:\/\/en.wikipedia.org\/wiki\/Priority_queue<span>\uff09\u3002\u4f18\u5148\u961f\u5217\u4f1a\u7ef4\u62a4\u4e00\u4e2a\u6709\u5e8f\u5217\u8868\uff0c\u8be5\u5217\u8868\u53ef\u4ee5\u5c06<\/span>\u201c<span>\u6700\u5c0f\u7684<\/span>\u201d<span>\u5143\u7d20\u4ee5\u5f88\u5feb\u7684\u901f\u5ea6\u63d0\u53d6\u51fa\u6765\u3002\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\u77e5\u8bc6\uff0c\u6211\u901a\u5e38\u559c\u6b22\u4ece\u5934\u5f00\u59cb\u5199\u4e00\u4e2a\u6570\u636e\u7ed3\u6784\uff0c\u56e0\u6b64\u6211\u5199\u7684\u4f18\u5148\u961f\u5217\u7684<\/span>JS<span>\u5e93 <\/span>tinyqueue<span>\uff08<\/span>https:\/\/github.com\/mourner\/tinyqueue<span>\uff09\u53ef\u80fd\u662f\u6709\u53f2\u4ee5\u6765\u6700\u597d\u7684\u4f18\u5148\u961f\u5217\u54e6\u3002<\/span><\/span><\/p>\n<p><span><span>\u8ba9\u6211\u4eec\u56de\u987e\u4e00\u4e0b<\/span>R-tree<span>\u7684\u4f8b\u5b50\uff1a<\/span><\/span><\/p>\n<\/p>\n<p><span><\/span><span>\u6211\u4eec\u53ef\u4ee5\u5f88\u76f4\u89c2\u5730\u60f3\u5230\uff0c\u4e0e\u67e5\u8be2\u70b9\u66f4\u4e34\u8fd1\u7684\u77e9\u5f62\u6846\u53ef\u80fd\u6709\u6211\u4eec\u60f3\u8981\u641c\u7d22\u7684\u70b9\u3002\u4e3a\u4e86\u6709\u6548\u5730\u5229\u7528\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u5c06\u6309\u4ece\u6700\u8fd1\u5230\u6700\u8fdc\u7684\u987a\u5e8f\u5c06\u6700\u5927\u7684\u77e9\u5f62\u6846\u6392\u5728\u961f\u5217\u4e2d\uff0c\u4ece\u9876\u5c42\u5f00\u59cb\u8fdb\u884c\u641c\u7d22\uff1a<\/span><\/p>\n<\/p>\n<p><span><\/span><span><span>\u4e4b\u540e\uff0c\u6211\u4eec<\/span>\u201c<span>\u6253\u5f00<\/span>\u201d<span>\u76f8\u90bb\u7684\u77e9\u5f62\u6846\uff0c\u4ece\u961f\u5217\u4e2d\u79fb\u9664\uff0c\u5e76\u5c06\u5b83\u7684\u5b69\u5b50\uff08\u8f83\u5c0f\u7684\u77e9\u5f62\u6846\uff09\u653e\u5230\u961f\u5217\u4e2d\u4e0e\u5176\u76f8\u90bb\u7684\u4f4d\u7f6e\u4e0a\u3002<\/span><\/span><\/p>\n<\/p>\n<p><span>\u91cd\u590d\u4e0a\u8ff0\u6b65\u9aa4\uff0c\u5f53\u4ece\u961f\u5217\u4e2d\u79fb\u9664\u7684\u76f8\u90bb\u9879\u662f\u771f\u6b63\u7684\u70b9\u800c\u4e0d\u662f\u77e9\u5f62\u6846\u65f6\uff0c\u8fd9\u5c31\u662f\u6211\u4eec\u8981\u67e5\u627e\u7684\u70b9\u4e86\uff0c\u961f\u5217\u9876\u90e8\u7b2c\u4e8c\u4e2a\u70b9\u5c31\u662f\u7b2c\u4e8c\u4e2a\u6700\u76f8\u90bb\u7684\u70b9\uff0c\u4ee5\u6b64\u7c7b\u63a8\u3002<\/span><\/p>\n<\/p>\n<p><span><\/span><span><span>\u7531\u4e8e\u6211\u4eec\u8fd8\u672a<\/span>\u201c<span>\u6253\u5f00<\/span>\u201d<span>\u7684\u77e9\u5f62\u6846\u4e2d\u5305\u542b\u7684\u70b9\u6bd4\u5f53\u524d\u77e9\u5f62\u6846\u4e2d\u7684\u70b9\u7684\u8ddd\u79bb\u66f4\u8fdc\uff0c\u56e0\u6b64\u6211\u4eec\u4ece\u961f\u5217\u4e2d\u53d6\u51fa\u7684\u4efb\u4f55\u70b9\u90fd\u4f1a\u6bd4\u5269\u4f59\u7684\u77e9\u5f62\u6846\u4e2d\u7684\u70b9\u7684\u8ddd\u79bb\u66f4\u8fd1\u3002<\/span><\/span><\/p>\n<\/p>\n<p><span><\/span><span>\u5982\u679c\u6211\u4eec\u7684\u7a7a\u95f4\u6811\u5f88\u5e73\u8861\u7684\u8bdd\uff0c\u5373\u6240\u6709\u8282\u70b9\u7684\u5206\u652f\u6570\u57fa\u672c\u76f8\u540c\uff0c\u90a3\u4e48\u6211\u4eec\u53ea\u9700\u5904\u7406\u51e0\u4e2a\u77e9\u5f62\u6846\u5373\u53ef\uff0c\u800c\u5ffd\u7565\u5176\u4f59\u7684\u77e9\u5f62\u6846\u3002\u8fd9\u79cd\u7b56\u7565\u4f7f\u5f97\u8be5\u7b97\u6cd5\u5728\u641c\u7d22\u8fc7\u7a0b\u4e2d\u975e\u5e38\u5feb\u901f\u3002<\/span><\/p>\n<p><span><span>\u5728<\/span>rbush<span>\u5e93\u4e2d\uff0c\u8be5\u7b97\u6cd5\u5728<\/span>rbush-knn<span>\u6a21\u5757\u4e2d\u5b9e\u73b0\u3002\u5bf9\u4e8e\u5730\u7406\u4fe1\u606f\u4e2d\u7684\u70b9\uff0c\u6211\u6700\u8fd1\u53d1\u5e03\u4e86\u53e6\u5916\u4e00\u4e2a<\/span>kNN<span>\u5e93<\/span>\u2014\u2014geokdbush<span>\uff08<\/span>https:\/\/github.com\/mourner\/geokdbush<span>\uff09\u3002<\/span>Geokdbush<span>\u53ef\u4ee5\u5f88\u597d\u5730\u5904\u7406\u5730\u7403\u7684\u66f2\u7387\u548c\u65f6\u95f4\u7ebf\u7684\u5305\u88c5\u3002\u6211\u771f\u5e94\u8be5\u4e13\u95e8\u4ee5<\/span>geokdbush<span>\u5199\u4e00\u7bc7\u6587\u7ae0\uff0c\u56e0\u4e3a\u5b83\u662f\u6211\u7b2c\u4e00\u6b21\u5c06\u5fae\u79ef\u5206\u5e94\u7528\u5230\u5b9e\u9645\u5de5\u4f5c\u4e2d\u7684\u9879\u76ee\u3002<\/span><\/span><\/p>\n<p><span><strong><span><span><\/span><\/span><\/strong><\/span><span><strong><span><span>\u81ea\u5b9a\u4e49\u7684<\/span>kNN<span>\u8ddd\u79bb\u8861\u91cf<\/span><\/span><\/strong><\/span><\/p>\n<p><span><span>\u8fd9\u79cd<\/span>\u201c<span>\u6253\u5f00<\/span>\u201d<span>\u77e9\u5f62\u6846\u7684\u65b9\u6cd5\u662f\u975e\u5e38\u7075\u6d3b\u7684\uff0c\u9664\u4e86\u70b9\u5bf9\u70b9\u8ddd\u79bb\u4e4b\u5916\u8fd8\u9002\u7528\u4e8e\u5176\u4ed6\u7684\u8ddd\u79bb\u7c7b\u578b\u3002\u8be5\u7b97\u6cd5\u4f9d\u8d56\u4e8e\u67e5\u8be2\u4e00\u4e2a\u5df2\u5b9a\u4e49\u7684\u4e0e\u77e9\u5f62\u6846\u5185\u6240\u6709\u5bf9\u8c61\u4e4b\u95f4\u7684\u8ddd\u79bb\u7684\u4e0b\u9650\u3002\u5982\u679c\u6211\u4eec\u81ea\u5b9a\u4e49\u8fd9\u4e2a\u4e0b\u9650\u6807\u51c6\uff0c\u6211\u4eec\u4f9d\u7136\u53ef\u4ee5\u4f7f\u7528\u76f8\u540c\u7684\u7b97\u6cd5\u3002\u8fd9\u5c31\u610f\u5473\u7740\uff0c\u6211\u4eec\u53ef\u4ee5\u6539\u53d8\u7b97\u6cd5\u4f7f\u5176\u641c\u7d22\u6700\u63a5\u8fd1\u4e00\u6761\u7ebf\u6bb5\u7684<\/span>K<span>\u4e2a\u70b9\uff08\u800c\u4e0d\u662f\u4e0e\u4e00\u4e2a\u70b9\u6700\u76f8\u8fd1\u7684\u70b9\uff09\uff1a<\/span><\/span><\/p>\n<\/p>\n<p><span><\/span><span>\u5728\u7b97\u6cd5\u4e2d\u6211\u4eec\u552f\u4e00\u9700\u8981\u6539\u53d8\u7684\u5c31\u662f\u5c06\u70b9\u4e0e\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u548c\u70b9\u4e0e\u77e9\u5f62\u6846\u4e4b\u95f4\u7684\u8ddd\u79bb\u8ba1\u7b97\u6362\u6210\u7ebf\u6bb5\u4e0e\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u548c\u7ebf\u6bb5\u4e0e\u77e9\u5f62\u6846\u4e4b\u95f4\u7684\u8ddd\u79bb\u8ba1\u7b97\u3002<\/span><\/p>\n<p><span><span>\u5f53\u6211\u5efa\u7acb<\/span>Concaveman<span>\uff08<\/span>https:\/\/github.com\/mapbox\/concaveman<span>\uff09\u5e93\u65f6<\/span>\u2014\u2014<span>\u4e00\u4e2a<\/span>JS<span>\u4e2d\u5feb\u901f\u7684<\/span>2D<span>\u51f9\u9762\u5e93\uff0c\u8fd9\u6837\u505a\u5c31\u663e\u5f97\u5f88\u65b9\u4fbf\u3002 \u5b83\u9700\u8981\u5f88\u591a\u70b9\uff0c\u5e76\u751f\u6210\u4e00\u4e2a\u5982\u4e0b\u6240\u793a\u7684\u56fe\uff1a<\/span><\/span><\/p>\n<\/p>\n<p><span><\/span><span><span>\u8be5\u7b97\u6cd5\u4ee5\u51f8\u5305\uff08<\/span>https:\/\/github.com\/mikolalysenko\/monotone-convex-hull-2d<span>\uff09\u5f00\u59cb\uff0c\u7136\u540e\u901a\u8fc7\u5c06\u5b83\u4eec\u8fde\u63a5\u5230\u6700\u63a5\u8fd1\u7684\u70b9\u7684\u4e4b\u4e00\u6765\u5411\u5185\u5f2f\u66f2\u5b83\u7684\u6bcf\u4e00\u6bb5\uff1a<\/span><\/span><\/p>\n<\/p>\n<p><span>\u6df1\u5165\u9605\u8bfb\uff1a<\/span><span><span>A New Concave Hull Algorithm and Concaveness Measure for n-dimensional Datasets<\/span><span>, 2012<span>\uff08<\/span>http:\/\/www.iis.sinica.edu.tw\/page\/jise\/2012\/201205_10.pdf<span>\uff09<\/span><\/span><\/span><\/p>\n<p><strong><span>\u4e0b\u9762\u662f\u4e00\u6bb5\u5f15\u81ea\u8bba\u6587\u7684\u8bdd\uff1a<\/span><\/strong><\/p>\n<p><span><em><span>\u5728\u6211\u4eec\u63d0\u51fa\u7684\u51f9\u9762\u7b97\u6cd5\u4e2d\uff0c\u4ece\u8fb9\u754c\u8fb9\u7f18\u5f00\u59cb\u627e\u5230\u6700\u8fd1\u7684\u5185\u90e8\u70b9\u662f\u4e00\u4e2a\u8017\u65f6\u7684\u8fc7\u7a0b\uff0c\u8fd9\u4e9b\u70b9\u662f\u8fdb\u4e00\u6b65\u6316\u6398\u76ee\u6807\u70b9\u7684\u5019\u9009\u70b9\u3002\u5f00\u53d1\u66f4\u6709\u6548\u7684\u65b9\u6cd5\u662f\u6211\u4eec\u672a\u6765\u7684\u7814\u7a76\u8bfe\u9898\u3002<\/span><\/em><\/span><\/p>\n<p><span><span>\u6211\u5c06\u6570\u636e\u70b9\u8fdb\u884c\u7d22\u5f15\u5e76\u6267\u884c<\/span>\u201c<span>\u6700\u8fd1\u70b9\u5230\u4e00\u4e2a\u6bb5<\/span>\u201d<span>\u7684\u67e5\u8be2\uff0c\u8fd9\u4f7f\u5f97\u8be5\u7b97\u6cd5\u53d8\u5f97\u66f4\u5feb\u3002<\/span><\/span><\/p>\n<p><span><strong><span><\/span><\/strong><\/span><span><strong><span>\u672a\u6765\u5de5\u4f5c<\/span><\/strong><\/span><\/p>\n<p><span><span>\u5728\u672a\u6765\u5728\u8fd9\u4e00\u4e9b\u5217\u7684\u6587\u7ae0\u4e2d\uff0c\u6211\u4f1a\u5c06<\/span>kNN<span>\u7b97\u6cd5\u62d3\u5c55\u5230\u5730\u7406\u4fe1\u606f\u5bf9\u8c61\uff0c\u5e76\u8be6\u7ec6\u5730\u8bb2\u89e3\u4e09\u4e2a\u6253\u5305\u7b97\u6cd5\uff0c\u5373\u5982\u4f55\u5c06\u6570\u636e\u70b9\u6700\u597d\u5730\u6392\u5217\u5230\u77e9\u5f62\u6846\u4e2d\u3002<\/span><\/span><\/p>\n<p><span><span>\u6700\u540e\u611f\u8c22\u60a8\u8010\u5fc3\u7684\u9605\u8bfb\uff0c\u5982\u679c\u60a8\u6709\u4efb\u4f55\u610f\u89c1\u6216\u95ee\u9898\u6b22\u8fce\u7559\u8a00\u3002\u6b22\u8fce\u8bd5\u7528\u6211\u4eec\u7684<\/span>SDKs<span>\uff08<\/span>https:\/\/www.mapbox.com\/products\/<span>\uff09\uff0c\u5982\u679c\u60a8\u80fd\u591f\u89e3\u51b3\u786c\u5de5\u7a0b\u7684\u6311\u6218\u548c\u5730\u56fe\u7684\u95ee\u9898\uff0c<\/span><\/span><span><span><span>\u6b22\u8fce\u67e5\u770b\u6211\u4eec\u7684<\/span>job openings<span>\uff08<\/span><\/span><span>https:\/\/www.mapbox.com\/jobs\/<span>\uff09\u3002<\/span><\/span><\/span><\/p>\n<\/p>\n<p>\u70ed\u95e8\u6587\u7ae0\u63a8\u8350<\/p>\n<\/p>\n<\/p>\n<\/p>\n<\/p>\n<div class=\"articleend\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5168\u7403\u4eba\u5de5\u667a\u80fd\uff1a\u4e13\u6ce8\u4e3aAI\u5f00\u53d1\u8005\u63d0\u4f9b\u5168\u7403\u6700\u65b0AI\u6280\u672f\u52a8\u6001\u548c\u793e\u7fa4\u4ea4\u6d41\u3002\u7528\u6237\u6765\u6e90\u5305\u62ec\uff1a\u5317\u5927\u3001\u6e05\u534e\u3001\u4e2d\u79d1\u9662\u3001\u590d\u65e6\u3001\u9ebb\u7701 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[183],"class_list":["post-108118","post","type-post","status-publish","format-standard","hentry","category-news","tag-183"],"_links":{"self":[{"href":"https:\/\/www.fagao.me\/p\/wp-json\/wp\/v2\/posts\/108118","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fagao.me\/p\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fagao.me\/p\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fagao.me\/p\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fagao.me\/p\/wp-json\/wp\/v2\/comments?post=108118"}],"version-history":[{"count":0,"href":"https:\/\/www.fagao.me\/p\/wp-json\/wp\/v2\/posts\/108118\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fagao.me\/p\/wp-json\/wp\/v2\/media?parent=108118"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fagao.me\/p\/wp-json\/wp\/v2\/categories?post=108118"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fagao.me\/p\/wp-json\/wp\/v2\/tags?post=108118"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}