{"id":778,"date":"2018-01-06T18:25:14","date_gmt":"2018-01-06T10:25:14","guid":{"rendered":"http:\/\/www.whudj.cn\/?p=778"},"modified":"2018-12-21T15:47:05","modified_gmt":"2018-12-21T07:47:05","slug":"%e7%a9%ba%e9%97%b4%e6%8b%93%e6%89%91%e5%85%b3%e7%b3%bb%e6%8f%8f%e8%bf%b09%e4%ba%a4%e5%8f%89%e6%a8%a1%e5%9e%8bde-9im","status":"publish","type":"post","link":"http:\/\/www.whudj.cn\/?p=778","title":{"rendered":"\u7a7a\u95f4\u62d3\u6251\u5173\u7cfb\u63cf\u8ff0:9\u4ea4\u53c9\u6a21\u578b(DE-9IM)"},"content":{"rendered":"<p>\u7a7a\u95f4\u5173\u7cfb\u63cf\u8ff0\u662fGIS\u7cfb\u7edf\u7684\u57fa\u672c\u529f\u80fd\u4e4b\u4e00\u3002\u6211\u5728\u5b66\u6821\u5b66\u4e60\u5230\u7684\u7a7a\u95f4\u5173\u7cfb\u5206\u4e3a\u4e09\u79cd\uff1a\u65b9\u4f4d\u5173\u7cfb\u3001\u8ddd\u79bb\u5173\u7cfb\u3001\u62d3\u6251\u5173\u7cfb\u3002\u4eca\u5929\u6211\u8981\u5206\u4eab\u7684\u62d3\u6251\u5173\u7cfb\u7684\u6807\u51c6\u5316\u63cf\u8ff0\uff1a9\u4ea4\u53c9\u6a21\u578b\u3002\u79d1\u73ed\u51fa\u8eab\u7684GISer\u53ef\u80fd\u90fd\u77e5\u90539\u4ea4\u6a21\u578b\u662fEgenhofer\u5728\u300apoint set topological spatial relations\u300b\u4e2d\u63d0\u51fa\u7684\uff0c\u4e0d\u8fc7\uff0c\u6211\u4eca\u5929\u4e0d\u6253\u7b97\u7efc\u8ff0\u7a7a\u95f4\u5173\u7cfb\u6709\u5173\u7684\u7406\u8bba\u53d1\u5c55\uff0c\u800c\u662f\u7ed3\u5408geos,\u5206\u4eab9\u4ea4\u6a21\u578b\u7684\u539f\u7406\u4ee5\u53ca\u5e38\u89c1\u7684\u62d3\u6251\u5173\u7cfb\u63cf\u8ff0\u7b26\u3002<\/p>\n<p><!--more--><\/p>\n<p><strong>1\uff099\u4ea4\u53c9\u6a21\u578b\u7684\u5b9a\u4e49<\/strong><\/p>\n<p>\u5df2\u77e5\u4e24\u4e2a\u51e0\u4f55\u5bf9\u8c61A\uff0cB(geos\u4e2d\u79f0Geometry)\uff0c\u5982\u4f55\u63cf\u8ff0A\u4e0eB\u7684\u62d3\u6251\u5173\u7cfb?\u5c31\u4ea4\u53c9\u6a21\u578b\u7ed9\u51fa\u7684\u89e3\u51b3\u65b9\u6848\u662f\u901a\u8fc7\u63cf\u8ff0A\u4e0eB\u7684\u5185\u90e8(Interior , I)\uff0c\u8fb9\u754c(Boundary , B)\uff0c\u5916\u90e8(Exterior , E)\u4e4b\u95f4\u7684\u5173\u7cfb\u6765\u8868\u8fbeA\u4e0eB\u7684\u62d3\u6251\u5173\u7cfb\uff0c\u5185\u90e8(I)\u3001\u8fb9\u754c(B)\u3001\u5916\u90e8(E)\u4e09\u8005\u7684\u5173\u7cfb\u6784\u6210\u4e86\u4e00\u4e2a\\(3\\times3\\)\u7684\u4ea4\u96c6\u77e9\u9635\uff1a$$DE9IM(a,b)=\\begin{bmatrix}<br \/>\ndim(I_A\\cap I_B)&amp;dim(I_A\\cap B_B)&amp;dim(I_A\\cap E_B)\\\\<br \/>\ndim(B_A\\cap I_B)&amp;dim(B_A\\cap B_B)&amp;dim(B_A\\cap E_B)\\\\<br \/>\ndim(E_A\\cap I_B)&amp;dim(E_A\\cap B_B)&amp;dim(E_A\\cap E_B)\\end{bmatrix}$$<\/p>\n<p><strong>2)\u7ef4\u5ea6 Dimension<\/strong><\/p>\n<p>dim\u662fdimension\u7684\u7f29\u5199\uff0c\u6307\u7684\u662f\u7ef4\u5ea6\u3002\u5728\u8ba1\u7b97\u51e0\u4f55\u4e2d\uff0c\u7ef4\u5ea6\u662f\u51e0\u4f55\u8981\u7d20\u7684\u91cd\u8981\u4fe1\u606f\u4e4b\u4e00\uff0c\u901a\u8fc7\u7ef4\u5ea6\uff0c\u53ef\u4ee5\u8fdb\u884c\u4e00\u4e9b\u5224\u65ad\u3002\u6bd4\u5982\uff0c\u9ad8\u7ef4\u5ea6\u7684\u8981\u7d20(\u6bd4\u5982\u7ebf)\uff0c\u662f\u4e0d\u53ef\u80fdwithin\u5728\u4f4e\u7ef4\u5ea6\u7684\u8981\u7d20\u4e2d\u7684(\u6bd4\u5982\u70b9)\u3002\u518d\u6bd4\u5982\uff0c\u4e24\u4e2a\u8981\u7d20\u7684\u4ea4\u96c6\u7684\u7ef4\u5ea6\u4e0d\u4f1a\u8d85\u8fc7\u4e24\u8005\u7ef4\u5ea6\u4e2d\u6700\u5c0f\u8005\u3002\u5728geos\u4e2d(\u4ee5\u53ca\u5176\u4ed6\u7c7b\u4f3c\u7cfb\u7edf)\uff1a<\/p>\n<ol>\n<li>\u591a\u8fb9\u5f62\u7684\u7ef4\u5ea6\u662f2\uff0c\u542b\u7ec4\u5408\u591a\u8fb9\u5f62\uff0c\u5e26\u6d1e\u591a\u8fb9\u5f62\u7b49\u3002<\/li>\n<li>\u6298\u7ebf\u7684\u7ef4\u5ea6\u4e3a1\uff0c\u542b\u591a\u7ebf\u3002<\/li>\n<li>\u70b9\u7684\u7ef4\u5ea6\u4e3a0\uff0c\u542b\u591a\u70b9\u3002<\/li>\n<li>\u7a7a\u96c6(\u65e0\u4ea4\u96c6)\u7ef4\u5ea6\u4e3aF\u3002<\/li>\n<\/ol>\n<p>\u8bb2\u5230\u8fd9\u91cc\uff0c\u6211\u4eec\u6709\u5fc5\u8981\u4e86\u89e3\u4e0d\u540c\u7c7b\u578b\u7684\u51e0\u4f55\u5bf9\u8c61\u7684\u5185\u90e8\uff0c\u8fb9\u754c\uff0c\u5916\u90e8\u5404\u6307\u7684\u662f\u4ec0\u4e48\u3002<\/p>\n<p><strong>3\uff09\u5185\u90e8\uff0c\u8fb9\u754c\uff0c\u5916\u90e8\u7684\u5b9a\u4e49<\/strong><\/p>\n<p>\u5bf9\u4e8e\u591a\u8fb9\u5f62\uff0c\u5185\u90e8\u662f\u591a\u8fb9\u5f62\u7684\u5916\u73af\u548c\u5185\u73af\u56f4\u8d77\u6765\u7684\u9762\u90e8\u5206\uff0c\u8fb9\u754c\u7531\u5185\u73af\u548c\u5916\u73af\u6784\u6210\uff0c\u5916\u90e8\u662f\u9664\u5185\u90e8\u548c\u8fb9\u754c\u4ee5\u5916\u7684\u7a7a\u95f4\u5176\u4ed6\u6240\u6709\u90e8\u5206\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-783\" src=\"http:\/\/www.whudj.cn\/wp-content\/uploads\/2018\/01\/polygon_de9im-1.png\" alt=\"\" width=\"250\" height=\"209\" \/><\/p>\n<p>\u5bf9\u4e8e\u7ebf\u8981\u7d20\uff0c\u8fb9\u754c\u662f\u7ebf\u9996\u5c3e\u8282\u70b9(\u4e2d\u95f4\u8282\u70b9\u4e0d\u7b97)\uff0c\u5185\u90e8\u662f\u7ebf\u4e0a\u9664\u4e86\u9996\u5c3e\u8282\u70b9\u4e4b\u5916\u7684\u90e8\u5206\u3002\u5916\u90e8\u662f\u7a7a\u95f4\u9664\u4e86\u5185\u90e8\u4e0e\u8fb9\u754c\u7684\u90e8\u5206\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-784\" src=\"http:\/\/www.whudj.cn\/wp-content\/uploads\/2018\/01\/line_de9im.png\" alt=\"\" width=\"250\" height=\"183\" \/><\/p>\n<p>\u70b9\u8981\u7d20\u7684\u5185\u90e8\u662f\u70b9\u672c\u8eab\uff0c\u5176\u8fb9\u754c\u662f\u7a7a\u96c6\uff0c\u5916\u90e8\u662f\u9664\u4e86\u70b9\u672c\u8eab\u5916\u7684\u7a7a\u95f4\u5176\u4ed6\u90e8\u5206\u3002\u5f53\u7136\uff0c\u5bf9\u4e8e\u70b9\u4e0e\u5176\u4ed6\u8981\u7d20\u7684\u62d3\u6251\u5173\u7cfb\uff0c\u6211\u4eec\u901a\u5e38\u4e60\u60ef\u7528\u201c\u70b9\u5728\u5bf9\u8c61\u4e0a\u201d\u3001\u201c\u70b9\u4e0d\u5728\u5bf9\u8c61\u4e0a\u201d\u8fdb\u884c\u63cf\u8ff0\uff0c\u800c\u4e14\uff0c\u5728\u7a7a\u95f4\u5173\u7cfb\u7684\u8ba1\u7b97\u4e0a\uff0c\u4e5f\u4f1a\u6309\u7167\u8fd9\u6837\u7684\u601d\u8def\u8bbe\u8ba1\u7b97\u6cd5\u3002\u6211\u7684\u610f\u601d\u662f\uff0c\u5bf9\u4e8e\u70b9\u7684\u62d3\u6251\u5173\u7cfb\u5904\u7406\u4e00\u822c\u5148\u5224\u65ad\u201c\u70b9\u662f\u5426\u5728\u5bf9\u8c61\u4e0a\u201d\u7136\u540e\u586b\u51459\u4ea4\u53c9\u6a21\u578b\u77e9\u9635\u7684\uff0c\u800c\u4e0d\u662f\u50cf\u591a\u8fb9\u5f62\u4e4b\u95f4\u7684\u5173\u7cfb\u5224\u65ad\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-785\" src=\"http:\/\/www.whudj.cn\/wp-content\/uploads\/2018\/01\/point_de9im.png\" alt=\"\" width=\"204\" height=\"135\" \/><\/p>\n<p><strong>4\uff099\u4ea4\u53c9\u6a21\u578b\u7684\u5e03\u5c14\u5f62\u5f0f<\/strong><\/p>\n<p>9\u4ea4\u53c9\u6a21\u578b\u4ea4\u96c6\u77e9\u9635\u7684\u5b9a\u4e49\u57df\u4e3a{F,0,1,2}\uff0c\u90a3\u4e48\u4e00\u5171\u53ef\u80fd\u6709\\(4^9\\)\u79cd\u53ef\u80fd\u7684\u62d3\u6251\u5173\u7cfb\u3002\u7b80\u5355\u7684\u8003\u8651\u5230\u5916\u90e8\u4e0e\u5916\u90e8\u7684\u4ea4\u96c6\u7684\u7ef4\u5ea6\u4e00\u5b9a\u662f2 \uff0c\u90a3\u4e48\u53ef\u80fd\u7684\u62d3\u6251\u5173\u7cfb\u4ecd\u6709\\(8^9\\)\u79cd\uff0c\u8003\u8651\u5f88\u591a\u79cd\u5173\u7cfb\u662f\u77db\u76fe\u7684\uff0c\u5269\u4e0b\u7684\u7ec4\u5408\u4ecd\u7136\u5f88\u591a\u3002\u8fd9\u4e0e\u6211\u4eec\u5e0c\u671b\u76f4\u89c2\uff0c\u7b80\u5355\u7684\u8868\u8fbe\u62d3\u6251\u5173\u7cfb\u7684\u76ee\u6807\u76f8\u5dee\u751a\u8fdc\u3002\u5b9e\u9645\u4e0a\uff0c\u5e38\u89c1\u7684\u62d3\u6251\u5173\u7cfb\u63cf\u8ff0\u7b26\u5927\u698210\u79cd\u5de6\u53f3\u3002\u4e3a\u4e86\u65b9\u4fbf\u63cf\u8ff0\u8fd9\u4e9b\u5173\u7cfb\uff0c\u53ef\u4ee5\u5bf9\u77e9\u9635\u7684\u5b9a\u4e49\u57df\u505a\u8865\u5145\uff1a<\/p>\n<ol>\n<li>0,1,2\u8868\u793a\u975e\u7a7a\uff0c\u7528T\u8fdb\u884c\u8868\u793a\uff1b<\/li>\n<li>\u7a7a\u96c6\u4ecd\u7136\u7528F\u8868\u793a\uff1b<\/li>\n<li>\u5f15\u5165*\u8868\u793a\u662f\u4ec0\u4e48\u90fd\u53ef\u4ee5\uff0cgeos\u4e2d\u4e3a\u201cDONTCARE\u201d<\/li>\n<\/ol>\n<p>\u6211\u4eec\u5e38\u7528\u7684\u62d3\u6251\u5173\u7cfb\u63cf\u8ff0\u7b26\uff0c\u5c31\u662f\u91c7\u7528\u4e0a\u8ff06\u79cd\u7c7b\u578b\u63cf\u8ff0\u51fa\u6765\u7684\u3002<\/p>\n<p><strong>5\uff09\u5e38\u7528\u62d3\u6251\u5173\u7cfb\u63cf\u8ff0<\/strong><\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Intersects<\/strong><\/span><\/p>\n<p>\u76f8\u4ea4\u662f\u6307\u4e24\u5bf9\u8c61\u7684\u5185\u90e8\u6216\u8fb9\u754c\u5b58\u5728\u4ea4\u96c6\uff0c\u5bf9\u5e94\u4e0b\u9762\u56db\u79cdIntersection Matrix$$\\begin{bmatrix}<br \/>\nT&amp;*&amp;*\\\\<br \/>\n*&amp;*&amp;*\\\\<br \/>\n*&amp;*&amp;*<br \/>\n\\end{bmatrix}$$$$\\begin{bmatrix}<br \/>\n*&amp;T&amp;*\\\\<br \/>\n*&amp;*&amp;*\\\\<br \/>\n*&amp;*&amp;*<br \/>\n\\end{bmatrix}$$$$\\begin{bmatrix}<br \/>\n*&amp;*&amp;*\\\\<br \/>\nT&amp;*&amp;*\\\\<br \/>\n*&amp;*&amp;*<br \/>\n\\end{bmatrix}$$$$\\begin{bmatrix}<br \/>\n*&amp;*&amp;*\\\\<br \/>\n*&amp;T&amp;*\\\\<br \/>\n*&amp;*&amp;*<br \/>\n\\end{bmatrix}$$\u5c31\u662f\u8bf4 \u5bf9\u5e94Interior,Boundary\u7684\\(2\\times 2\\)\u7684\u90e8\u5206\u4efb\u610f\u4e00\u4e2a\u5355\u5143\u662fT\u5c31\u53ef\u4ee5\u4e86\uff0c\u5176\u4ed6\u7684\u90fd\u201cDONTCARE\u201d\u3002\u6ce8\u610f\uff0c\u8fd9\u4e9b\u77e9\u9635\u90fd\u662f\u5bf9\u79f0\u7684\u3002<\/p>\n<p><strong><span style=\"text-decoration: underline;\">Disjoint<\/span><\/strong><\/p>\n<p>\u76f8\u79bb\u5c31\u662f\u4e0d\u76f8\u4ea4\uff0c\u56e0\u6b64\u5bf9\u5e94\u4e8e\u76f8\u4ea4\u7684\u201cInterior,Bountry\u00a0 \u4efb\u610f\u5b58\u5728\u4ea4\u96c6\u201d\uff0c\u76f8\u79bb\u7684\u5b9a\u4e49\u662fInterior,Boundary\u5747\u4e0d\u5b58\u5728\u4ea4\u96c6\u3002$$\\begin{bmatrix}<br \/>\nF&amp;F&amp;*\\\\<br \/>\nF&amp;F&amp;*\\\\<br \/>\n*&amp;*&amp;*<br \/>\n\\end{bmatrix}$$\uff0c\u8fd9\u4e2a\u77e9\u9635\u4e5f\u662f\u5bf9\u79f0\u7684\u3002<\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Contains<\/strong><\/span><\/p>\n<p>A.Contains(B)\u8868\u793aB\u5b8c\u5168\u5728A\u5185\u90e8\u3002\u5373A,B\u7684interior\u76f8\u4ea4\u5e76\u4e14 B\u7684Interior\u4e0eBoundary\u5747\u4e0d\u4e0eA\u7684exterior\u76f8\u4ea4\u3002$$\\begin{bmatrix}<br \/>\nT&amp;*&amp;*\\\\<br \/>\n*&amp;*&amp;*\\\\<br \/>\nF&amp;F&amp;*<br \/>\n\\end{bmatrix}$$<\/p>\n<p><strong><span style=\"text-decoration: underline;\">Within<\/span><\/strong><\/p>\n<p>Within \u4e0eContains\u4e92\u4e3a\u8f6c\u7f6e\u3002A.Contains(B) = B.Within(A)\u3002\u4e3a\u4ec0\u4e48\u53eb\u4e92\u4e3a\u8f6c\u7f6e\u5462\uff0c\u8fd9\u662f\u56e0\u4e3awithin\u7684\u76f8\u4ea4\u77e9\u9635\u662fContains\u77e9\u9635\u7684\u8f6c\u7f6e\u5c31\u597d\u4e86\u3002$$\\begin{bmatrix}<br \/>\nT&amp;*&amp;F\\\\<br \/>\n*&amp;*&amp;F\\\\<br \/>\n*&amp;*&amp;*<br \/>\n\\end{bmatrix}$$<\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Equal<\/strong><\/span><\/p>\n<p>Equal\u8868\u793a\u7684\u662fA\u548cB\u7684\u5f62\u72b6\u5b8c\u5168\u76f8\u540c(\u4f46\u662f\uff0c\u4e0d\u662f\u8bf4\u4ed6\u4eec\u6240\u6709\u7684\u5750\u6807\u90fd\u662f\u5b8c\u5168\u4e00\u6837\u7684\uff01A\u6216\u8005B\u90fd\u53ef\u80fd\u6709\u5197\u4f59\u7684\u5750\u6807\uff0c\u6bd4\u5982\u591a\u70b9\u5171\u7ebf)\u3002Equal\u7684\u4ea4\u96c6\u77e9\u9635\u662f\u5185\u90e8\u76f8\u4ea4\uff0c\u4f46\u4efb\u610f\u4e00\u65b9\u7684\u5185\u90e8\u4e0e\u8fb9\u754c\u5747\u4e0d\u4e0e\u5bf9\u65b9\u7684\u5916\u754c\u76f8\u4ea4$$\\begin{bmatrix}<br \/>\nT&amp;*&amp;F\\\\<br \/>\n*&amp;*&amp;F\\\\<br \/>\nF&amp;F&amp;*<br \/>\n\\end{bmatrix}$$<\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Overlap<\/strong><\/span><\/p>\n<p>\u53e0\u7f6e\u5224\u65ad\u5bf9A\u4e0eB\u7684\u7ef4\u5ea6\u6709\u8981\u6c42\uff0c\u8981\u6c42A\u4e0eB\u7684\u7ef4\u5ea6\u76f8\u540c\uff0c\u5e76\u4e14\u8981\u6c42A\u4e0eB\u7684\u5185\u90e8\u7684\u4ea4\u96c6\u7684\u7ef4\u5ea6\u4e0eAB\u7684\u7ef4\u5ea6\u76f8\u540c\u3002\u56e0\u4e3a\u591a\u8fb9\u5f62(\u9762)\u4e4b\u95f4\u7684\u4ea4\u96c6\uff0c\u70b9\u4e4b\u95f4\u7684\u4ea4\u96c6\u5747\u4e0e\u4ed6\u4eec\u7684\u7ef4\u5ea6\u76f8\u540c\uff0c\u7ebf\u4e4b\u95f4\u7684\u4ea4\u96c6\u53ef\u80fd\u4f1a\u662f\u70b9\uff0c\u7ebf\u4e24\u79cd\u60c5\u51b5\uff0c\u6240\u4ee5\u7279\u522b\u5c06\u7ebf\u4e0e\u9762\u3001\u70b9\u4e4b\u95f4\u7684\u77e9\u9635\u8fdb\u884c\u4e86\u533a\u5206,\u8981\u6c42\u7ebf\u7684\u5185\u90e8\u4ea4\u96c6\u4e3a\u7ebf\u3002<\/p>\n<p>\u9762\u3001\u70b9\u7684\u4ea4\u96c6\u77e9\u9635\uff1a$$\\begin{bmatrix}<br \/>\nT&amp;*&amp;T\\\\<br \/>\n*&amp;*&amp;*\\\\<br \/>\nT&amp;*&amp;*<br \/>\n\\end{bmatrix}$$<\/p>\n<p>\u7ebf\u7684\u4ea4\u96c6\u77e9\u9635:$$\\begin{bmatrix}<br \/>\n1&amp;*&amp;T\\\\<br \/>\n*&amp;*&amp;*\\\\<br \/>\nT&amp;*&amp;*<br \/>\n\\end{bmatrix}$$<\/p>\n<p><strong><span style=\"text-decoration: underline;\">Touch<\/span><\/strong><\/p>\n<p>Touch\u8868\u793a\u7684\u662f\u4e24\u4e2a\u51e0\u4f55\u8981\u7d20\u4e4b\u95f4\u7684\u4e34\u63a5\u5173\u7cfb\u3002touch\u5173\u7cfb\u7684\u8981\u70b9\u662f\uff1a<\/p>\n<p>\u4e24\u4e2a\u5143\u7d20\u7684\u5185\u90e8(interior)\u4e0d\u80fd\u6709\u4ea4\u96c6,\u4f46\u662f\u5185\u90e8\u4e0e\u8fb9\u754c\uff0c\u8fb9\u754c\u4e0e\u8fb9\u754c\u53ef\u4ee5\u6709\u4ea4\u96c6\u3002<\/p>\n<p>\u53c2\u4e0e\u7684\u4e24\u79cd\u5143\u7d20\u4e0d\u80fd\u540c\u65f6\u4e3a\u70b9\u7c7b\u578b\u3002(\u70b9\u6ca1\u6709\u8fb9\u754c\uff0c\u5185\u90e8\u4e0e\u5185\u90e8\u4e0d\u76f8\u4ea4\u53d8\u6210\u76f8\u79bb\u4e86)<\/p>\n<p>$$\\begin{bmatrix}<br \/>\nF&amp;T&amp;*\\\\<br \/>\n*&amp;*&amp;*\\\\<br \/>\n*&amp;*&amp;*<br \/>\n\\end{bmatrix}$$$$\\begin{bmatrix}<br \/>\nF&amp;*&amp;*\\\\<br \/>\nT&amp;*&amp;*\\\\<br \/>\n*&amp;*&amp;*<br \/>\n\\end{bmatrix}$$$$\\begin{bmatrix}<br \/>\nF&amp;*&amp;*\\\\<br \/>\n*&amp;T&amp;*\\\\<br \/>\n*&amp;*&amp;*<br \/>\n\\end{bmatrix}$$\u4e09\u4e2a\u77e9\u9635\u4e2d\uff0c\u524d\u4e24\u4e2a\u4e92\u4e3a\u8f6c\u7f6e\u5173\u7cfb\uff0c\u6700\u540e\u4e00\u4e2a\u662f\u5bf9\u79f0\u77e9\u9635\u3002\u6240\u4ee5\u8bf4\u8fd9\u4e2a\u5173\u7cfb\u4e5f\u662f\u5bf9\u79f0\u7684\u3002<\/p>\n<p><strong><span style=\"text-decoration: underline;\">Cross\u00a0<\/span><\/strong><\/p>\n<p>\u7a7f\u8d8a\u7684\u5b9a\u4e49\u662fA\u4e0eB\u7684\u5185\u90e8\u6709\u4ea4\u96c6\uff0c\u4f46\u4ea4\u96c6\u7684\u7ef4\u5ea6\u8981\u6bd4A\u4e0eB\u6700\u5927\u7684\u7ef4\u5ea6\u8981\u5c0f\u3002\u6309\u7167\u8fd9\u4e2a\u6807\u51c6\uff0c\u70b9\u70b9\u4e0e\u9762\u9762\u4e0d\u53ef\u80fd\u5b58\u5728cross\u5173\u7cfb\uff0c\u56e0\u4e3a\u4ed6\u4eec\u5185\u90e8\u7684\u4ea4\u96c6\u7684\u7ef4\u5ea6\u4e0e\u4ed6\u4eec\u7684\u7ef4\u5ea6\u662f\u76f8\u540c\u7684\u3002\u540c\u6837\uff0c\u5bf9\u4e8e\u7ebf\u7ebf\u7684\u4ea4\u96c6\u8981\u533a\u522b\u5bf9\u5f85\uff0c\u6307\u5b9a\u5176\u5185\u90e8\u7684\u4ea4\u96c6\u4e3a0(\u800c\u4e0d\u662f1)\u3002<\/p>\n<p>\u975e\u7ebf\u7ebf\u4ea4\u96c6\u77e9\u9635\uff1a$$\\begin{bmatrix}<br \/>\nT&amp;*&amp;T\\\\<br \/>\n*&amp;*&amp;*\\\\<br \/>\n*&amp;*&amp;*<br \/>\n\\end{bmatrix}$$\u7ebf\u7ebf\u4ea4\u96c6\u77e9\u9635\uff1a$$\\begin{bmatrix}<br \/>\n0&amp;*&amp;*\\\\<br \/>\n*&amp;*&amp;*\\\\<br \/>\n*&amp;*&amp;*<br \/>\n\\end{bmatrix}$$<\/p>\n<p><strong>6)\u5bf9\u62d3\u6251\u5173\u7cfb\u7684\u5206\u6790\uff1a\u4ece\u77e9\u9635\u7684\u89d2\u5ea6<\/strong><\/p>\n<p>\u4ece\u4e0a\u8ff09\u4ea4\u53c9\u6a21\u578b\u77e9\u9635\u7684\u8868\u8fbe\u4e0a\uff0c\u6211\u4eec\u5df2\u7ecf\u80fd\u591f\u5206\u6790\u51fa\u5f88\u591a\u6709\u8da3\u7684\u4fe1\u606f\u4e86\u3002<\/p>\n<p>1.\u5982\u679c\u4ea4\u96c6\u77e9\u9635\u662f\u5bf9\u79f0\u7684\uff0c\u90a3\u4e48\u5bf9\u5e94\u7684\u62d3\u6251\u5173\u7cfb\u6ee1\u8db3\u4ea4\u6362\u5f8b\u7684\u3002A.Relation(B)=B.Relation(A)<\/p>\n<p>\u53ef\u4ee5\u4ea4\u6362\u7684\u62d3\u6251\u5173\u7cfb\u6709(\u5bf9\u5e94\u77e9\u9635\u5bf9\u79f0)\uff1a<\/p>\n<p>Intersects,Disjoint,Equal,Overlap,Touch,Cross(\u7ebf\u7ebf)<\/p>\n<p>\u4e0d\u53ef\u4ee5\u4ea4\u6362\u7684\u62d3\u6251\u5173\u7cfb\u6709\uff1a<\/p>\n<p>Contains,Within,Cross(\u975e\u7ebf\u7ebf)<\/p>\n<p>2.\u5982\u679c\u4e24\u4e2a\u5173\u7cfb\u77e9\u9635\u4e92\u4e3a\u8f6c\u7f6e\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u5173\u7cfb\u53ef\u4ee5\u8c03\u6362\u4f4d\u7f6eA.Relation1(B)=B.Relation2(A)\u3002\u6ee1\u8db3\u6761\u4ef6\u7684\u5173\u7cfb\u6709<\/p>\n<p>Contains,Within<\/p>\n<p>3.\u5982\u679c\u4e24\u4e2a\u77e9\u9635\u4e92\u8865\uff0c\u90a3\u4e48\u4e24\u79cd\u5173\u7cfb\u4e5f\u662f\u4e92\u65a5\u5173\u7cfb\u3002\u6ee1\u8db3\u6761\u4ef6\u7684\u6709<\/p>\n<p>Intersects,Disjoint<\/p>\n<p>4.\u62d3\u6251\u5173\u7cfb\u4e4b\u95f4\u7684\u5173\u7cfb<\/p>\n<p>\u4e0a\u8ff08\u79cd\u5173\u7cfb\u5e76\u5168\u4e0d\u662f\u4e92\u65a5\u7684\uff0c\u5143\u7d20A,B\u53ef\u4ee5\u540c\u65f6\u6ee1\u8db3\u591a\u79cd\u62d3\u6251\u5173\u7cfb\u3002\u8fd9\u4e9b\u62d3\u6251\u5173\u7cfb\u7684\u201c\u5173\u7cfb\u201d\u66f4\u9002\u5408\u4f7f\u7528\u6587\u6c0f\u56fe\u6765\u63cf\u8ff0\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-800\" src=\"http:\/\/www.whudj.cn\/wp-content\/uploads\/2018\/01\/topology_rel_rel.png\" alt=\"\" width=\"500\" height=\"242\" \/><\/p>\n<hr \/>\n<p>\u53c2\u8003\u6587\u6863\uff1a<\/p>\n<p><a href=\"https:\/\/connect.boundlessgeo.com\/docs\/suite\/4.6\/dataadmin\/pgAdvanced\/de9im.html\">Dimensionally Extended 9-Intersection model<\/a>(\u5185\u90e8\u3001\u8fb9\u754c\u3001\u5916\u90e8\u5b9a\u4e49\u7684\u56fe\u7247\u6765\u6e90)<\/p>\n<p><a href=\"http:\/\/edndoc.esri.com\/arcsde\/9.0\/general_topics\/understand_spatial_relations.htm\">Esri doc:Understanding spatial relations<\/a><\/p>\n<p><a href=\"http:\/\/webhelp.esri.com\/arcgisdesktop\/9.3\/index.cfm?TopicName=Spatial_relationships\">ArcGIS Desktop Help: Spatial Relations<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7a7a\u95f4\u5173\u7cfb\u63cf\u8ff0\u662fGIS\u7cfb\u7edf\u7684\u57fa\u672c\u529f\u80fd\u4e4b\u4e00\u3002\u6211\u5728\u5b66\u6821\u5b66\u4e60\u5230\u7684\u7a7a\u95f4\u5173\u7cfb\u5206\u4e3a\u4e09\u79cd\uff1a\u65b9\u4f4d\u5173 &hellip; <a href=\"http:\/\/www.whudj.cn\/?p=778\">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\/778"}],"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=778"}],"version-history":[{"count":19,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/posts\/778\/revisions"}],"predecessor-version":[{"id":1238,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/posts\/778\/revisions\/1238"}],"wp:attachment":[{"href":"http:\/\/www.whudj.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=778"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=778"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=778"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}