测绘学报

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带孔洞面域间的拓扑关系的组合推理

刘波1,李大军2,邹时林3,阮见   

  • 收稿日期:2010-01-20 修回日期:2010-05-20 出版日期:2011-04-25 发布日期:2011-04-25
  • 通讯作者: 刘波

Combinational Reasoning of Topological Relations Between Regions with Holes

  • Received:2010-01-20 Revised:2010-05-20 Online:2011-04-25 Published:2011-04-25

摘要: 空间对象间拓扑关系是GIS中空间要素间最基本也是最重要的关系之一,是进行空间查询和分析的基础,因而空间对象间拓扑关系一直是研究的热点之一。目前,对拓扑关系模型的研究主要集中在简单对象间拓扑关系方面,而对于带空洞的复杂面域间的空间拓扑关系的研究则相对较少,因而对它的进一步研究具有较重要的理论意义。本文在文献[11]的基础上,根据点集拓扑学理论,对带孔面域进行了定义。通过分析简单对象间拓扑关系的演变过程,提出一种能描述带一个孔的面域间的空间拓扑关系的方法,并用该方法详细推导了带一个孔的面域间有意义的拓扑关系。通过实验验证,证明该方法在理论上是可行的,对提高GIS对现实世界的建模和分析能力可提供一定的理论依据。

Abstract: The topological relationship between spatial objects is one of the most important aspects in GIS modeling, and it is the basis of spatial query and analysis. The description of spatial relationships has been paid more attention in the field of GIS. At present, the research on topological relation model for spatial objects was usually described simple objects, the research of a regions with a hole are comparatively fewer, it’s research has important theory meaning. this paper based on the 11th reference literature, used the point-set topology theory, redefined the regions with holes. By analyzing the evolution plans of simple area objects’ topological relations, put forward a new method which can describe the special topological relations of regions with a hole, and used the new method to discussed the topological relations of two regions with a hole. Through the experiment, in thoery, it has been proved that this method is feasible, can provide a theoretical method for improving the modeling and analysis capabilities of GIS.