三维空间对象拓扑关系的研究

The Research of Topological Relations between Spatial Objects in 3-D Space

在数字地球、数字城市、地理信息系统等涉及地理数据等许多应用中,三维空间对象的拓扑关系的研究是一个十分重要的问题;弄清三维空间对象的拓扑关系,对于三维空间对象的操作以及操作的算法研究至关重要。由于三维空间对象的复杂性,它们之间拓扑关系的判定大多只是从简单的概念来进行判断,还没有从理论上全面地给定它的判定准则。该文试图在三维空间中,详细地研究空间对象之间拓扑关系成立的条件与结论,利用这些规则,可以全面地得到三维空间对象之间可能存在的所有拓扑关系。

In the applications of digital earth,digital city and Geographical Information System that include in spatial data,it is a very important problem to research topological relations between three dimensional spatial objects.Understanding fully their topological relations is very important for operations on3-D spatial objects and algorithms about operation.Because of the complexity of3-D spatial objects,the determinant of topological relation between them is simply according to their definitions,there are not wholly theoretical rules.This paper presents the conditions and conclusions about topological relation of spatial objects in three dimensional.Utilizing those rules,you are able to grasp the topological relations wholly among three dimensional spatial objects.