| GIS空间线目标间拓扑关系形式化描述模型 |
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| 引用本文： | 张水舰,李永树.GIS空间线目标间拓扑关系形式化描述模型[J].测绘学院学报,2009(4). |
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| 作者姓名： | 张水舰 李永树 |
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| 作者单位： | 西南交通大学地理信息工程中心; |
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| 基金项目： | 国家自然科学基金资助项目(40371098) |
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| 摘 要： | 针对现有拓扑关系描述模型的不足,首先以点集拓扑学基本理论为基础,定义了空间线目标的端点、内部、边界等概念,在此基础上提出了一种描述空间线目标间拓扑关系完善的形式化模型——New 9交模型。根据线目标的物理意义,提出了5条取值规则以排除模型描述的拓扑关系中没有意义的类型,并在此基础上总结出了空间线目标间拓扑关系的最小集,定义了6种线目标间的基本拓扑关系,并且证明了此最小集的互斥性与完备性。
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| 关 键 词： | 拓扑关系 New9交模型 点集拓扑学 空间线目标 地理信息系统 |
Formal Model Describing Topological Relations Between Spatial Linear Objects in GIS |
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| ZHANG Shui-jian,LI Yong-shu.Formal Model Describing Topological Relations Between Spatial Linear Objects in GIS[J].Journal of Institute of Surveying and Mapping,2009(4). |
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| Authors: | ZHANG Shui-jian LI Yong-shu |
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| Institution: | GIS Engineering Center;Southwest Jiaotong University;Chengdu 610031;China |
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| Abstract: | Aiming at the deficiency of the current models describing topological relations,the concepts of the endpoint,inner and boundary of spatial linear object were defined on the basis of basic theory of point-set topology at first;and a formal perfect model describing topological relations between spatial linear objects was proposed based on that.Five rules were put forward to exclude the impossible topological relations which were described by the model according to the physical meaning of spatial linear object... |
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| Keywords: | topological relation new 9-intersection model point set topology spatial linear object GIS |
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