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https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-7-186x300.png 186w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-7.png 752w\" sizes=\"auto, (max-width: 633px) 100vw, 633px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\">2.3\u8ba1\u7b97\u5b50\u533a\u57df\u5212\u5206\u7684\u53e0\u5408<\/h3>\n\n\n\n<p>\u6240\u8c13\u53e0\u5408\uff0c\u5c31\u662f\u7531\u6765\u81eaS1\u548cS2\u7684\u8fb9\u5171\u540c\u5728\u5e73\u9762\u4e0a\u5bfc\u51fa\u7684\u4e00\u4e2a\u5b50\u533a\u57df\u5212\u5206\u3002\u6211\u7684\u7406\u89e3\u5c31\u662f\u6c42\u51fa\u6240\u6709\u4ea4\u70b9\uff0c\u66f4\u65b0\u6240\u6709\u8fb9\uff08\u65e7\u8fb9\u53ef\u80fd\u88ab\u5206\u6210\u591a\u4e2a\u65b0\u8fb9\uff09\u4ee5\u53ca\u5bf9\u5e94\u7684\u53cc\u5411\u94fe\u63a5\u8fb9\u8868\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"454\" src=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-5-1024x454.png\" alt=\"\" class=\"wp-image-831\" srcset=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-5-1024x454.png 1024w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-5-300x133.png 300w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-5-768x341.png 768w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-5.png 1057w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" 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class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"707\" height=\"1024\" src=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-8-707x1024.png\" alt=\"\" class=\"wp-image-834\" srcset=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-8-707x1024.png 707w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-8-207x300.png 207w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-8-768x1113.png 768w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-8.png 906w\" sizes=\"auto, (max-width: 707px) 100vw, 707px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\">2.4\u5e03\u5c14\u8fd0\u7b97<\/h3>\n\n\n\n<p>\u5e03\u5c14\u8fd0\u7b97\u7b97\u662fGIS\u8f6f\u4ef6\u91cc\u6700\u57fa\u7840\u7684\u529f\u80fd\u4e86\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"790\" src=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-9-1024x790.png\" alt=\"\" class=\"wp-image-835\" srcset=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-9-1024x790.png 1024w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-9-300x231.png 300w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-9-768x592.png 768w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-9.png 1088w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<p>\u5e03\u5c14\u8fd0\u7b97\u53ea\u9700\u8981\u5728\u53e0\u5408\u8ba1\u7b97\u4e0a\u52a0\u4e00\u4e2a\u6807\u8bb0\u5373\u53ef\uff0c\u5728\u8fb9\u754c\u9762\u5148\u505a\u597d\u6807\u8bb0P1\uff0cP2\uff0c\u518d\u6309\u5b9e\u9645\u7684\u5e03\u5c14\u8fd0\u7b97\uff08\u4ea4\uff0c\u5e76\uff0c\u5dee\uff09\u63d0\u53d6\u76f8\u5e94\u7684\u9762\u5373\u53ef\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7b2c\u4e09\u7ae0 \u591a\u8fb9\u5f62\u4e09\u89d2\u5256\u5206<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">3.1\u770b\u5b88\u4e0e\u4e09\u89d2\u5256\u5206<\/h3>\n\n\n\n<p>\u901a\u8fc7\u6781\u5927\u7684\u4e00\u7ec4\u4e92\u4e0d\u76f8\u4ea4\u7684\u5bf9\u89d2\u7ebf\uff0c\u53ef\u4ee5\u5c06\u4e00\u4e2a\u591a\u8fb9\u5f62\u5206\u89e3\u4e3a\u591a\u4e2a\u4e09\u89d2\u5f62\u23af\u23af \u6211\u4eec\u79f0\u4e4b\u4e3a\u8be5\u591a\u8fb9\u5f62\u7684\u4e00\u4e2a\u4e09\u89d2\u5256\u5206\uff08Triangulation\uff09<\/p>\n\n\n\n<p>\u5b9a\u7406 3-1  \u4efb\u4f55\u7b80\u5355\u591a\u8fb9\u5f62\u90fd\u5b58\u5728\uff08\u81f3\u5c11\uff09\u4e00\u4e2a\u4e09\u89d2\u5256\u5206\uff1b\u82e5\u5176\u9876\u70b9\u6570\u76ee\u4e3a n\uff0c\u5219\u5b83\u7684\u6bcf\u4e2a\u4e09\u89d2\u5256\u5206 \u90fd\u6070\u597d\u5305\u542b n - 2 \u4e2a\u4e09\u89d2\u5f62\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-16.png\" alt=\"\" class=\"wp-image-852\" width=\"341\" height=\"122\" srcset=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-16.png 681w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-16-300x107.png 300w\" sizes=\"auto, (max-width: 341px) 100vw, 341px\" \/><\/figure><\/div>\n\n\n<p>\u5b9a\u7406\u8bc1\u660e\uff1a\u7c7b\u4f3c\u9012\u5f52\uff0c\u5bf9\u5f53\u524d\u591a\u8fb9\u5f62\u6700\u5de6\u8fb9\u7684\u70b9\u5468\u56f4\u4e24\u70b9\u8fde\u7ebf\uff0c\u5f97\u5230\u5bf9\u89d2\u7ebf\uff0c\u5e76\u8003\u8651\u7279\u6b8a\u60c5\u51b5\u3002<\/p>\n\n\n\n<p>\u7279\u6b8a\u60c5\u51b5\u5904\u7406\uff1a\u5728\u6240\u6709\u8fd9\u4e9b\u9876\u70b9\u4e2d\uff0c\u4ee4v'\u4e3a\u4e0e\u2014uw\u76f8\u8ddd\u6700\u8fdc \u8005\u3002\u73b0\u5728\uff0c\u8054\u63a5v'\u548cv\u7684\u90a3\u6761\uff08\u5f00\uff09\u7ebf\u6bb5\uff0c\u4e0d\u53ef\u80fd\u4e0eP\u7684\u4efb\u4f55\u8fb9\u76f8\u4ea4\u23af\u23af\u5426\u5219\uff0c\u8fd9\u6761\u8fb9\u7684\u4e24 \u4e2a\u7aef\u70b9\u4e2d\uff0c\u5fc5\u6709\u5176\u4e00\u4f1a\u843d\u5728\u8fd9\u4e2a\u4e09\u89d2\u5f62\u5185\u90e8\uff0c\u800c\u4e14\u8be5\u7aef\u70b9\u5230\u2014uw\u7684\u8ddd\u79bb\u8981\u6bd4v'\u66f4\u8fdc\u3002\u56e0\u6b64\uff0c \u2014vv'\u5c31\u662f\u4e00\u6761\u5bf9\u89d2\u7ebf\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-17.png\" alt=\"\" class=\"wp-image-853\" width=\"232\" height=\"176\" srcset=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-17.png 464w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-17-300x227.png 300w\" sizes=\"auto, (max-width: 232px) 100vw, 232px\" \/><\/figure><\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-18.png\" alt=\"\" class=\"wp-image-854\" width=\"227\" height=\"187\" srcset=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-18.png 453w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-18-300x247.png 300w\" sizes=\"auto, (max-width: 227px) 100vw, 227px\" \/><\/figure><\/div>\n\n\n<p>\u5256\u5206\u540e\u8fdb\u884c\u4e09\u67d3\u8272\u5904\u7406\uff0c\u9009\u7528\u70b9\u6570\u6700\u5c11\u7684\u90a3\u4e00\u7c7b\u540c\u8272\u9876\u70b9\uff0c\u5e76\u4e3a\u5b83\u4eec\u914d\u5907\u6444\u50cf\u673a\uff0c\u5219\u53ea\u9700\u4e0d\u8d85\u8fc7n\/3\u53f0\u6444\u50cf\u673a\uff0c\u5373\u53ef\u8986\u76d6\u4f4fP\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-20.png\" alt=\"\" class=\"wp-image-856\" width=\"237\" height=\"174\" srcset=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-20.png 474w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-20-300x220.png 300w\" sizes=\"auto, (max-width: 237px) 100vw, 237px\" \/><\/figure><\/div>\n\n\n<p>\u4e09\u67d3\u8272\u53ef\u4ee5\u901a\u8fc7DFS\u7b49\u904d\u5386\u65b9\u6cd5\u8ba1\u7b97\u3002\u4e09\u89d2\u5256\u5206\u7684\u6bcf\u4e2a\u4e09\u89d2\u5f62\u5bf9\u5e94\u70b9\u8fde\u7ebf\uff0c\u6784\u6210\u7f51\u7edc\uff0c\u904d\u5386\u5373\u53ef\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-19.png\" alt=\"\" class=\"wp-image-855\" width=\"287\" height=\"209\" srcset=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-19.png 574w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-19-300x218.png 300w\" sizes=\"auto, (max-width: 287px) 100vw, 287px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\">3.2 \u591a\u8fb9\u5f62\u7684\u5355\u8c03\u5757\u5212\u5206<\/h3>\n\n\n\n<p>\u5982\u679c\u6309\u7167\u591a\u8fb9\u5f62\u5b58\u5728\u4e09\u89d2\u5256\u5206\u7684\u8bc1\u660e\u8fc7\u7a0b\u6765\u5b9e\u73b0\u4e09\u89d2\u5256\u5206\uff0c\u8003\u8651\u5230\u8bc1\u660e\u8fc7\u7a0b\u4e2d\u5b58\u5728\u7684\u7279\u6b8a\u60c5\u51b5\uff08\u6700\u5de6\u9876\u70b9\u7684\u76f8\u90bb\u4e24\u70b9\u8fde\u7ebf\u4e0d\u5b8c\u5168\u5305\u542b\u5728\u591a\u8fb9\u5f62\u5185\uff09\uff0c\u90a3\u4e48\u590d\u6742\u5ea6\u662fO(n^2)\u3002\u4f18\u5316\u65b9\u6cd5\u662f\u5c06\u591a\u8fb9\u5f62\u5148\u5206\u6210\u5355\u8c03\u5757\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-21.png\" alt=\"\" class=\"wp-image-861\" width=\"272\" height=\"151\" srcset=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-21.png 543w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-21-300x166.png 300w\" sizes=\"auto, (max-width: 272px) 100vw, 272px\" \/><\/figure><\/div>\n\n\n<p>\u663e\u800c\u6613\u89c1\uff0c\u51f8\u591a\u8fb9\u5f62\u7684\u4e09\u89d2\u5256\u5206\u4e0d\u5b58\u5728\u4e0a\u8ff0\u7279\u6b8a\u60c5\u51b5\uff0c\u56e0\u6b64\u53ef\u4ee5\u4ece\u5de6\u5230\u53f3\u4f9d\u6b21\u5256\u5206\u3002\u7136\u800c\u4e0d\u5e78\u7684\u662f\uff0c\u5c06\u591a\u8fb9\u5f62\u5212\u5206\u4e3a\u51f8\u5757\u7684\u96be\u5ea6\uff0c\u4e0e\u5bf9\u5b83\u505a\u4e09\u89d2\u5256\u5206\u662f\u4e00\u6837\u7684\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06 \u628aP\u5212\u5206\u4e3a\u6240\u8c13\u7684\u201c\u5355\u8c03\u5757\u201d\uff08Monotone Piece\uff09\u23af\u23af\u8fd9\u9879\u5de5\u4f5c\u8981\u5bb9\u6613\u5f97\u591a\u3002<\/p>\n\n\n\n<p>\u6211\u4eec\u79f0\u4e00\u4e2a\u7b80\u5355\u591a\u8fb9\u5f62\u201c\u5173\u4e8e\u67d0\u6761\u76f4\u7ebf l \u5355\u8c03\u201d\uff08Monotone with respect to a line l\uff09\uff0c\u5982\u679c\u5bf9\u4efb\u4f55\u4e00\u6761\u5782\u76f4\u4e8e l \u7684\u76f4\u7ebf l'\uff0cl'\u4e0e\u8be5\u591a\u8fb9\u5f62\u7684\u4ea4\u90fd\u662f\u8fde\u901a\u7684\u3002\u6362\u800c\u8a00\u4e4b\uff0c\u5b83\u4eec\u7684\u4ea4\u6216\u8005\u662f\u4e00\u6761\u7ebf\u6bb5\uff0c\u6216\u8005\u662f\u4e00\u4e2a\u70b9\uff0c\u4e5f\u53ef\u80fd\u662f\u7a7a\u96c6\u3002<\/p>\n\n\n\n<p>\u597d\u7406\u89e3\u4e00\u70b9\u7684\u7279\u6027\u662f\uff1a\u5728\u6cbf\u7740\u591a\u8fb9\u5f62\u7684\u5de6\uff08\u53f3\uff09\u8fb9\u754c\uff0c\u4ece\u6700\u9ad8\u9876\u70b9\u8d70\u5411\u6700\u4f4e\u9876\u70b9\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u59cb\u7ec8\u90fd\u662f\u671d\u4e0b\u65b9\uff08\u6216\u8005\u6c34\u5e73\uff09\u8fd0\u52a8\uff0c\u800c\u7edd\u4e0d\u4f1a\u5411\u4e0a\u3002<\/p>\n\n\n\n<p>\u5c06\u591a\u8fb9\u5f62\u5212\u5206\u4e3a\u5355\u8c03\u5757\u7684\u65b9\u6cd5\uff1a\u7b80\u5355\u6765\u8bf4\u5c31\u662f\u5f15\u5165\u5bf9\u89d2\u7ebf\u6d88\u9664\u62d0\u70b9\u3002\u5177\u4f53\u64cd\u4f5c\u65e0\u975e\u662f\u5bf9\u5206\u88c2\/\u6c47\u5408\u9876\u70b9\u7684\u5206\u60c5\u51b5\u8ba8\u8bba\u3002\uff08\u7565\uff09<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-22.png\" alt=\"\" class=\"wp-image-862\" width=\"370\" height=\"265\" srcset=\"https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-22.png 739w, https:\/\/www.gislxz.com\/wp-content\/uploads\/2023\/04\/image-22-300x215.png 300w\" sizes=\"auto, (max-width: 370px) 100vw, 370px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\">3.3 \u5355\u8c03\u591a\u8fb9\u5f62\u7684\u4e09\u89d2\u5256\u5206 <\/h3>\n\n\n\n<p>\u5212\u5206\u4e3a\u5355\u8c03\u591a\u8fb9\u5f62\u540e\u5373\u53ef\u5728\u7ebf\u6027\u65f6\u95f4\u8fdb\u884c\u4e09\u89d2\u5256\u5206\u3002\uff08\u7565\uff09<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">4 \u7ebf\u6027\u89c4\u5212\uff1a\u94f8\u6a21\u5236\u9020<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">4.1 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