举例说明最基本的拓扑空间关系有哪些?他们对于GIS的数据处理和空间分析具有什么重要意义 拓扑关系在GIS中的作用

\u7b80\u8ff0\u7a7a\u95f4\u6570\u636e\u7684\u62d3\u6251\u5173\u7cfb\u53ca\u5176\u5bf9GIS\u6570\u636e\u5904\u7406\u548c\u7a7a\u95f4\u5206\u6790\u6709\u4f55\u91cd\u8981\u610f\u4e49?

\u7a7a\u95f4\u6570\u636e\u7684\u62d3\u6251\u5173\u7cfb\uff0c
\u5bf9\u4e8e
GIS
\u6570\u636e\u5904\u7406\u548c\u7a7a\u95f4\u5206\u6790\u5177\u6709\u91cd\u8981\u7684\u610f\u4e49\uff0c
\u56e0\u4e3a\uff1a

1)
\u62d3\u6251\u5173\u7cfb\u80fd\u6e05\u695a\u5730\u53cd\u6620\u5b9e\u4f53\u4e4b\u95f4\u7684\u903b\u8f91\u7ed3\u6784\u5173\u7cfb\uff0c
\u5b83\u6bd4\u51e0\u4f55\u5173\u7cfb\u5177\u6709\u66f4\u5927
\u7684\u7a33\u5b9a\u6027\uff0c\u4e0d\u968f\u5730\u56fe\u6295\u5f71\u800c\u53d8\u5316\u3002

2)
\u6709\u52a9\u4e8e\u7a7a\u95f4\u8981\u7d20\u7684\u67e5\u8be2\uff0c
\u5229\u7528\u62d3\u6251\u5173\u7cfb\u53ef\u4ee5\u89e3\u51b3\u8bb8\u591a\u5b9e\u9645\u95ee\u9898\u3002
\u5982\u67d0\u53bf\u7684
\u90bb\u63a5\u53bf\uff0c
--
\u9762\u9762\u76f8\u90bb\u95ee\u9898\u3002\u53c8\u5982\u4f9b\u6c34\u7ba1\u7f51\u7cfb\u7edf\u4e2d\u67d0\u6bb5\u6c34\u7ba1\u7834\u88c2\u627e\u5173\u95ed\u5b83\u7684\u9600\u95e8\uff0c
\u5c31\u9700\u8981\u67e5\u8be2\u8be5\u7ebf
(\u7ba1\u9053)
\u4e0e\u54ea\u4e9b\u70b9(\u9600\u95e8\u5173\u8054\u3002

3)
\u6839\u636e\u62d3\u6251\u5173\u7cfb\u53ef\u91cd\u5efa\u5730\u7406\u5b9e\u4f53\u3002\u4f8b\u5982\u6839\u636e\u5f27\u6bb5\u6784\u5efa\u591a\u8fb9\u5f62\uff0c\u5b9e\u73b0\u9762\u57df\u7684\u9009\u53d6\uff1b
\u6839\u636e\u5f27\u6bb5\u4e0e\u7ed3\u70b9\u7684\u5173\u8054\u5173\u7cfb\u91cd\u5efa\u9053\u8def\u7f51\u7edc\uff0c\u8fdb\u884c\u6700\u4f73\u8def\u5f84\u9009\u62e9\u7b49

\u6d45\u6790\u62d3\u6251\u5173\u7cfb\u63a8\u7406\u5728GIS\u4e2d\u5e94\u7528
\u6458\u8981\uff1a\u62d3\u6251\u5173\u7cfb\u662f\u5728\u8bed\u4e49\u5c42\u6b21\u4e0a\u6700\u91cd\u8981\u7684\u4e00\u79cd\u7a7a\u95f4\u5173\u7cfb\uff0c\u62d3\u6251\u63a8\u7406\u7684\u7814\u7a76\u4e3b\u8981\u6709\u4e24\u7c7b\u57fa\u672c\u7684\u65b9\u6cd5\uff1a\u57fa\u4e8e\u533a\u57df\u8fde\u63a5\u7684 RCC\u65b9\u6cd5\u548c\u57fa\u4e8e\u70b9\u96c6\u7684\u201cn-\u4ea4\u96c6\u201d\u6a21\u578b\u3002GIS\u7a7a\u95f4\u63a8\u7406\u7684\u5173\u952e\u95ee\u9898\u662f\u5982\u4f55\u5229\u7528\u5b58\u8d2e\u5728\u6570\u636e\u5e93\u4e2d\u7684\u57fa\u672c\u6570\u636e\u4fe1\u606f\u5e76\u7ed3\u5408\u76f8\u5173\u7684\u7a7a\u95f4\u7ea6\u675f\u6765\u83b7\u53d6\u6240\u9700\u7684\u672a\u77e5\u7a7a\u95f4\u4fe1\u606f\u3002\u800c\u5bf9\u62d3\u6251\u5173\u7cfb\u7684\u63a8\u7406\uff0c\u662fGIS\u7a7a\u95f4\u63a8\u7406\u3001\u67e5\u8be2\u4e0e\u5206\u6790\u7684\u57fa\u7840\uff0c\u76f4\u63a5\u5f71\u54cdGIS\u7684\u53d1\u5c55\u4e0e\u5e94\u7528\u3002\u7ed3\u5408\u4eba\u7c7b\u7684\u8ba4\u77e5\u6a21\u5f0f\uff0c\u5e76\u7ed3\u5408\u65f6\u7a7a\u3001\u6a21\u7cca\u3001\u5c42\u6b21\u7b49\u62d3\u6251\u5173\u7cfb\u6765\u8fdb\u884cGIS\u7684\u7a7a\u95f4\u63a8\u7406\uff0c\u4f7f\u6a21\u578b\u7684\u63cf\u8ff0\u65b9\u5f0f\u66f4\u7b26\u5408\u4eba\u4eec\u5bf9\u62d3\u6251\u4fe1\u606f\u7684\u8868\u8fbe\u548c\u8ba4\u77e5\u65b9\u5f0f\uff0c\u5e76\u8d70\u5411\u7f51\u7edc\u5316\u548c\u5927\u4f17\u5316\uff0c\u662f\u7a7a\u95f4\u62d3\u6251\u63a8\u7406\u7684\u53d1\u5c55\u8d8b\u52bf\u3002

Abstracts: Topology is one of the most important spatial relationships in the semantic level. There are two basic approaches in topological reasoning: region-based methods of RCC and "n-intersection" model based on points. One of the key problems in GIS spatial reasoning is how to use the basic data in the database with relevant space constraints information so as to obtain the required spatial information. What\u2019s more, the topological reasoning is the foundation of GIS spatial reasoning, querying and analysis which has a direct impact on the development and application of GIS. It is useful to combine spatial reasoning with time and space, fuzzy, hierarchical topology for GIS and other spatial reasoning methods in a human cognitive pattern making the model easily to be understood in the expression of the topology information and cognitive styles. It is a trend moving Topological reasoning towards networking and popularity.
\u6717\u663e\u793a\u5bf9\u5e94\u7684\u62c9\u4e01\u5b57\u7b26\u7684\u62fc\u97f3
\u5b57\u5178 - \u67e5\u770b\u5b57\u5178\u8be6\u7ec6\u5185\u5bb9
\u5173\u952e\u5b57\uff1a\u62d3\u6251\u5173\u7cfb\uff0c\u7a7a\u95f4\u63a8\u7406\uff0c\u7a7a\u95f4\u67e5\u8be2\uff0c\u7a7a\u95f4\u5206\u6790

\u5f15\u8a00\uff1a\u8fd1\u5e74\u6765\u7a7a\u95f4\u5173\u7cfb\u7406\u8bba\u5df2\u5728\u5730\u7406\u4fe1\u606f\u7cfb\u7edf\u3001\u667a\u80fd\u5bfc\u822a\u3001\u673a\u5668\u4eba\u3001\u8ba1\u7b97\u673a\u89c6\u89c9\u3001 \u5f71\u50cf\u7406\u89e3\u3001\u56fe\u7247\u6570\u636e\u5e93\u548cCAD/CAM \u7b49\u9886\u57df\u5f15\u8d77\u666e\u904d\u5173\u6ce8\u3002\u56fd\u9645\u5730\u7406\u4fe1\u606f\u79d1\u5b66\u754c\u76ee\u524d\u7684\u76f8\u5173\u7814\u7a76\u4e3b\u8981\u96c6\u4e2d\u5728\u7a7a\u95f4\u5173\u7cfb\u7684\u8bed\u4e49\u95ee\u9898\u3001\u7a7a\u95f4\u5173\u7cfb\u7684\u5f62\u5f0f\u5316\u63cf\u8ff0\u3001\u57fa\u4e8e\u7a7a\u95f4\u5173\u7cfb\u7684\u67e5\u8be2\u4e0e\u5206\u6790\uff0c\u4ee5\u53ca\u7a7a\u95f4\u63a8\u7406\u7b49\u65b9\u9762\u3002\u7531\u4e8e\u62d3\u6251\u5173\u7cfb\u662f\u5728\u8bed\u4e49\u5c42\u6b21\u4e0a\u6700\u91cd\u8981\u7684\u4e00\u79cd\u7a7a\u95f4\u5173\u7cfb\uff0c\u5df2\u6709\u7684\u7edd\u5927\u90e8\u5206\u7814\u7a76\u662f\u9488\u5bf9\u62d3\u6251\u5173\u7cfb\u7684\u3002

\u4e24\u4e2a\u7a7a\u95f4\u5bf9\u8c61\u95f4\u7684\u62d3\u6251\u5173\u7cfb\u662f\u6307\u5728\u62d3\u6251\u53d8\u6362\uff08\u65cb\u8f6c\u3001\u5e73\u79fb\u3001\u7f29\u653e\u7b49)\u4e0b\u4fdd\u6301\u4e0d\u53d8\u7684\u7a7a\u95f4\u5173\u7cfb\uff0c\u5373\u62d3\u6251\u4e0d\u53d8\u91cf\uff0c\u5982\u7a7a\u95f4\u5bf9\u8c61\u7684\u76f8\u90bb\u548c\u8fde\u901a\u5173\u7cfb\u3002\u62d3\u6251\u5173\u7cfb\u6240\u8868\u8fbe\u7684\u662f\u6ee1\u8db3\u62d3\u6251\u51e0\u4f55\u5b66\u539f\u7406\u7684\u5404\u7a7a\u95f4\u6570\u636e\u95f4\u7684\u76f8\u4e92\u5173\u7cfb\u3002\u5373\u7528\u7ed3\u70b9\u3001\u5f27\u6bb5\u548c\u591a\u8fb9\u5f62\u6240\u8868\u793a\u7684\u5b9e\u4f53\u4e4b\u95f4\u7684\u90bb\u63a5\u3001\u5173\u8054\u3001\u5305\u542b\u548c\u8fde\u901a\u5173\u7cfb\u3002\u5982\uff1a\u70b9\u4e0e\u70b9\u7684\u90bb\u63a5\u5173\u7cfb\u3001\u70b9\u4e0e\u9762\u7684\u5305\u542b\u5173\u7cfb\u3001\u7ebf\u4e0e\u9762\u7684\u76f8\u79bb\u5173\u7cfb\u3001\u9762\u4e0e\u9762\u7684\u91cd\u5408\u5173\u7cfb\u7b49\u3002\u62d3\u6251\u5173\u7cfb\u662f\u7a7a\u95f4\u63a8\u7406\u3001\u67e5\u8be2\u4e0e\u5206\u6790\u7684\u57fa\u7840\uff0c\u62d3\u6251\u5173\u7cfb\u7814\u7a76\u7684\u8fdb\u5c55\u76f4\u63a5\u5f71\u54cd\u5230GIS\u7684\u5e94\u7528\u3002





1. \u7a7a\u95f4\u62d3\u6251\u5173\u7cfb\u63cf\u8ff0\u6a21\u578b
\u7528\u7a7a\u95f4\u63a8\u7406\u7684\u65b9\u6cd5 (\u4e3b\u8981\u662f\u5b9a\u6027\u7a7a\u95f4\u63a8\u7406)\u6765\u7814\u7a76\u5206\u6790\u62d3\u6251\u7a7a\u95f4\u5173\u7cfb\uff0c\u7b80\u79f0\u4e3a\u62d3\u6251\u63a8\u7406\u3002\u76ee\u524d\uff0c\u62d3\u6251\u63a8\u7406\u7684\u7814\u7a76\u4e3b\u8981\u6709\u4e24\u7c7b\u57fa\u672c\u7684\u65b9\u6cd5\uff1a\u57fa\u4e8e\u533a\u57df\u8fde\u63a5\u7684 RCC\u65b9\u6cd5\u548c\u57fa\u4e8e\u70b9\u96c6\u7684\u201cn-\u4ea4\u96c6\u201d\u6a21\u578b\u3002
1.1 RCC\u6a21\u578b
RCC\u6a21\u578b\u662f\u7531Randell\u7b49\u63d0\u51fa\u7684\u4e00\u79cd\u8fd0\u7528\u533a\u57df\u8fde\u63a5\u6f14\u7b97(RCC)\u7406\u8bba\u6765\u8868\u8fbe\u7a7a\u95f4\u533a\u57df\u7684\u62d3\u6251\u7279\u5f81\u548c\u62d3\u6251\u5173\u7cfb\u7684\u4ee3\u6570\u62d3\u6251\u5173\u7cfb\u6a21\u578b\u3002RCC\u6a21\u578b\u662f\u4ee5\u533a\u57df\u4e3a\u57fa\u5143\u800c\u4e0d\u50cf\u70b9\u96c6\u62d3\u6251\u5b66\u4e2d\u4ee5\u70b9\u4e3a\u57fa\u5143\uff0c\u533a\u57df\u53ef\u4ee5\u662f\u4efb\u610f\u7ef4\uff0c\u4f46\u5728\u7279\u5b9a\u7684\u5f62\u5f0f\u5316\u6a21\u578b\u4e2d\uff0c\u6240\u6709\u533a\u57df\u7684\u7ef4\u6570\u662f\u76f8\u540c\u7684\u3002\u4f8b\u5982\uff0c\u5728\u8003\u86512\u7ef4\u60c5\u5f62\u65f6\uff0c\u533a\u57df\u8fb9\u754c\u548c\u533a\u57df\u95f4\u7684\u4ea4\u70b9\u5c06\u4e0d\u88ab\u8003\u8651\u3002RCC\u6a21\u578b\u5047\u8bbe\u4e00\u4e2a\u539f\u59cb\u7684\u4e8c\u5143\u5173\u7cfbC(P\uff0cQ)\u8868\u793a\u533a\u57dfP\u548cQ\u7684\u8fde\u63a5\uff0c\u6839\u636e\u70b9\u5728\u533a\u57df\u4e2d\u6765\u7ed9\u51fa\u5173\u7cfbC\u7684\u62d3\u6251\u89e3\u91ca\uff0c\u4f7f\u7528\u5173\u7cfbC\u53ef\u4ee5\u5b9a\u4e498\u4e2a\u57fa\u672c\u5173\u7cfb\uff0c\u5982\u679c\u4e0d\u8003\u8651\u533a\u57df\u7684\u8fb9\u754c\uff0c\u5219\u53ea\u53ef\u533a\u52065\u4e2a\u5173\u7cfb\uff0c\u5206\u522b\u88ab\u79f0\u4e4b\u4e3aRCC-8\u548cRCC-5\u5173\u7cfb\u96c6\uff0c

1.2 \u201cn-\u4ea4\u96c6\u201d\u6a21\u578b
\u4ece\u4e92\u65a5\u884c\u548c\u5b8c\u5907\u6027\u6765\u770b\uff0c\u968f\u7740\u4eba\u4eec\u5bf9\u4e8b\u7269\u62d3\u6251\u5173\u7cfb\u95f4\u7684\u7406\u89e3\u5730\u4e0d\u65ad\u52a0\u6df1\uff0c\u62d3\u6251\u5173\u7cfb\u7684\u63cf\u8ff0\u6a21\u578b\u4e5f\u4ece\u56db\u4ea4\u6a21\u578b\uff084I Model\uff09\u53d1\u5c55\u5230\u4e5d\u4ea4\u6a21\u578b\uff089I Model\uff09\uff0c\u7136\u540e\u5230\u6700\u5927\u7ef4\u6269\u5c55\u76849\u4ea4\u6a21\u578b\uff08DE9I Model\uff09\uff0c\u6700\u540e\u518d\u5230\u57fa\u4e8eVoronoi\u56fe\u76849\u4ea4\u6a21\u578b(V9I Model)\u3002V9I\u6a21\u578b\u65e2\u8003\u8651\u4e86\u7a7a\u95f4\u5b9e\u4f53\u7684\u5185\u90e8\u548c\u8fb9\u754c\uff0c\u53c8\u5c06Voronoi\u533a\u57df\u770b\u4f5c\u4e00\u4e2a\u6574\u4f53\uff0c\u56e0\u800c\u8be5\u6a21\u578b\u6709\u673a\u5730\u96c6\u6210\u4e86\u4ea4\u53c9\u4e0e\u4ea4\u4e92\u65b9\u6cd5\u7684\u4f18\u70b9\uff0c\u80fd\u591f\u514b\u670d\u539f9\u5143\u7ec4\u6a21\u578b\u7684\u4e00\u4e9b\u7f3a\u70b9\uff0c\u5305\u62ec\u65e0\u6cd5\u533a\u5206\u76f8\u79bb\u5173\u7cfb\u3001\u96be\u4ee5\u8ba1\u7b97\u76ee\u6807\u7684\u8865\u7b49\u3002

\u201c n-\u4ea4\u96c6\u201d\u6a21\u578b
\u8fd1\u5e74\u6765\uff0c\u6805\u683c\u7a7a\u95f4\u4e0b\u7684\u533a\u57df\u62d3\u6251\u5173\u7cfb\u4e5f\u6709\u7814\u7a76\u3002\u4f8b\u5982\uff0cEgenhofer & Sharma\u501f\u9274\u77e2\u91cf\u7a7a\u95f4\u4e2d\u76849\u4ea4\u6a21\u578b\u7684\u6784\u9020\u65b9\u5f0f\uff0c\u63d0\u51fa\u4e86\u57fa\u4e8e4\u90bb\u57df\uff08\u6216\u79f04\u8fde\u901a\uff09\u6982\u5ff5\u5b9a\u4e49\u76ee\u6807\u8fb9\u754c\uff0c\u4ece\u800c\u5efa\u7acb\u4e86\u6805\u683c\u533a\u57df\u95f4\u7684\u62d3\u6251\u5173\u7cfb\u6a21\u578b\u3002\u968f\u540e\uff0cWinter\u5bf9\u6805\u683c\u533a\u57df\u7684\u62d3\u6251\u5b9a\u4e49\u63d0\u51fa\u4e86\u4e00\u79cd\u6539\u8fdb\u65b9\u6cd5\uff0c\u8be5\u65b9\u6cd5\u53ef\u4ee5\u5229\u7528\u77e2\u91cf\u7a7a\u95f4 \u4e2d\u76849\u4ea4\u6a21\u578b\u6765\u63cf\u8ff0\u6805\u683c\u533a\u57df\u7684\u62d3\u6251\u5173\u7cfb\uff0c\u80fd\u591f\u8f83\u597d\u7684\u533a\u5206\u51fa\u76f8\u4ea4\u5173\u7cfb\u3001\u76f8\u63a5\u5173\u7cfb\u4ee5\u53ca\u76f8\u79bb\u5173\u7cfb\u3002
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2.3 \u62d3\u6251\u5173\u7cfb\u4e0e\u7a7a\u95f4\u5206\u6790
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3. \u7ed3\u8bba
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面面关系:相交、相邻、相离、包含等
线线、点点、线面、点线、点面等的更简单。
详细请参考九交模型

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