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体/体拓扑关系计算研究
引用本文:沈敬伟,温永宁,闾国年,吴明光.体/体拓扑关系计算研究[J].测绘科学,2012(4):120-122.
作者姓名:沈敬伟  温永宁  闾国年  吴明光
作者单位:西南大学地理科学学院;南京师范大学虚拟地理环境教育部重点实验室
基金项目:国家自然科学基金(41001223,40901186,40730527)
摘    要:GIS不仅关心空间目标自身的时间、空间和属性特征,还必须能够处理其与所处环境间的关系。体/体拓扑关系计算是三维空间目标之间拓扑关系计算的难点,为此,本文提出一种体/体拓扑关系计算方法:基于点集拓扑理论,利用维度扩展的9交模型(DE-9IM)对体/体之间存在着的8种有意义的拓扑关系进行描述;通过比较空间目标各部分(内部、边界和外部)的交集,从而判断空间目标之间的拓扑关系;设计了一个体/体拓扑关系计算算例,对算法进行详细阐述;最后,设计了体/体拓扑关系计算实验,验证了方法的有效。

关 键 词:体/体  空间目标  拓扑关系  维度扩展的9交模型

Calculation of topological relationships between bodies
SHEN Jing-wei,WEN Yong-ning,LV Guo-nian,WU Ming-guang.Calculation of topological relationships between bodies[J].Science of Surveying and Mapping,2012(4):120-122.
Authors:SHEN Jing-wei  WEN Yong-ning  LV Guo-nian  WU Ming-guang
Institution:②(①School of Geographical Sciences,Southwest University,Chongqing 400715,China;②Key Laboratory of Virtual Geographic Environment,MOE,Nanjing Normal University,Nanjing 210046,China)
Abstract:GIS is not only concerned about temporal,spatial and attribute characteristics of spatial objects,but also must be able to deal with the relationships between their environments.Calculation of topological relationships between bodies is the research focus at home and abroad.An algorithm for topological relationships calculation between bodies was proposed in this paper.Firstly,eight meaningful topological relationships between bodies were represented in DE-9IM(Dimensionally Extended 9 Intersection Model).Secondly,we calculate the intersections of bodies were calculated to judge the topological relationships of the bodies.Thirdly,an example was designed to elaborate the algorithm.Lastly,an experiment was designed to validate the correctness of the algorithm.
Keywords:body/body  spatial objects  topological relationships  dimensionally extended 9 intersection model(DE-9IM)
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