| 引用本文: | 钟志农,唐征武,张帆,等.一种统一的拓扑关系判断模型.[J].国防科技大学学报,2004,26(5):57-62.[点击复制] |
| ZHONG Zhinong,TANG Zhengwu,ZHANG Fan,et al.A Unified Model of Distinguishing Topological Relationships[J].Journal of National University of Defense Technology,2004,26(5):57-62[点击复制] |
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| 一种统一的拓扑关系判断模型 |
| 钟志农, 唐征武, 张帆, 景宁 |
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(国防科技大学 电子科学与工程学院，湖南 长沙 410073)
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| 摘要: |
| 拓扑关系是地理信息系统领域中一种非常重要的空间关系。当前已经提出了多种模型来对空间对象间的拓扑关系进行判断，但是这些模型都不能判断那些由点、线、多边形任意组合而成的异构几何集合对象间的拓扑关系。针对当前拓扑关系研究的不足，引入了混合几何的概念和正规化准则，基于此空间对象模型和维扩展9交集模型，提出了一个拓扑关系判断模型—集成型维扩展9交集模型(IDE-9IM)，它不但能够判断单一的点、线、面以及同构几何集合对象间的拓扑关系，而且还能从复杂空间对象的总体和局部两个方面对异构几何集合对象间的拓扑关系进行判断，可以作为一个判断任意几何对象间拓扑关系的统一模型。 |
| 关键词: 地理信息系统 拓扑关系 复杂空间对象 集成型维扩展9交集模型 |
| DOI： |
| 投稿日期：2004-06-30 |
| 基金项目:国家863高技术研究发展计划基金资助项目(2002AA-13-01-01) |
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| A Unified Model of Distinguishing Topological Relationships |
| ZHONG Zhinong, TANG Zhengwu, ZHANG Fan, JING Ning |
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(College of Electronic Science and Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Topological relationship is a very important spatial relationship in geographical information systems (GIS). During the past decades, many models that distinguish topological relationships have been proposed. But these models cannot distinguish the topological relationships between heterogeneous geometrycollection objects, which are composed of different dimensional geometries. We introduce the formal definition of mixed geometry and regularization rules. Base on the spatial model and Dimensionally Extended Nine-Intersection Model (DE-9IM), we propose a topological relationship model—Integrated Dimensionally Extended Nine-Intersection Model (IDE-9IM). The model can distinguish not only the topological relationships between single points, lines, areas, and/or homogeneous geometrycollection objects, but also the topological relationships between heterogeneous geometrycollection objects by considering the whole objects and the components of the complex objects. So IDE-9IM can be taken as a unified model of distinguishing topological relationships between arbitrary spatial objects. |
| Keywords: geographic information system topological relationship complex spatial objects integrated dimensionally extended nine-intersection model (IDE-9IM) |
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