复杂面实体拓扑关系的精细化模型  

The precise model of complex planar objects’ topological relations

作　　者：陈占龙[1] 叶文 CHEN Zhanlong;YE Wen(Faculty of Information Engineering,China University of Geosciences,Wuhan 430074,China)

机构地区：[1]中国地质大学(武汉)信息工程学院,湖北武汉430074

出　　处：《测绘学报》2019年第5期630-642,共13页Acta Geodaetica et Cartographica Sinica

基　　金：国家自然科学基金(41871305);国家重点研发计划(2017YFC0602204);国家高分重大专项(GFZX04040604)~~

摘　　要：简单空间对象经过特定组合可形成复杂空间实体。现有的拓扑关系模型对复杂边界间的复杂交互的表达能力不足,很难精确地对复杂空间面实体间拓扑关系的不同形式进行区分。顾及复杂空间面实体间的交互细节,本文对其拓扑关系进行精细化建模。首先引入线面实体间拓扑关系的元拓扑关系,进而利用元拓扑关系与重叠面积对简单面实体间的边界交集进行精细化描述,对洞边界遍历定义和洞中面与洞关系的定义,实现对复杂空间面实体的拓扑关系进行精确地区分与表达,最后对复杂面实体边界交集的5种基础拓扑关系描述模型进行归纳总结。通过5种基础拓扑关系描述模型的叠加,实现对复杂面实体各子部分之间关系细节的精细化表达。For complex planar objects, which are composed of simple spatial objects, the existent models of topological relations may not be able to describe some topological attributes of complex objects well. Taking the topological content between complex objects into account, this paper presents a model of basic topological relations between line/planar objects, and then in which the basic topological relations and the concept of overlapping area are leveraged to describe the topological relations of simple planar objects. The definition of traversing of hole’s boundary and planar with a hole are used to describe the topological relations between complex planar objects. Finally, the five basic topological relationship description modes of complex planar objects are summarized to realize description of the details of topological relations between partitions of complex planar objects.

关 键 词：空间组合 拓扑关系 边界交集 精细化表达 

分 类 号：P208[天文地球—地图制图学与地理信息工程]