以空间拓扑关系组合推理所描述的线与面之间的拓扑关系为基础,研究了抽象过程中基本拓扑关系类型等价转换所涉及的问题;提出了成分抽象的等价转换方法,并将其运用于线与面之间基本拓扑关系类型的抽象过程中;绘制了线与面之间基本拓扑关系类型的等价转换图。
In order to represent the equivalence of topological relations between a line and a region in vector space, on the basis of 97 topological relations between a line and a region, which are depicted by combinatorial reasoning of spatial topological relations, the questions of equivalent transformation of the basic topological relations types in abstraction process are discussed. The equivalent transformation methods of component abstraction are presented, then applied in the abstraction of basic topological relations types between a line and a region, and the corresponding equivalent transformation maps have been drawn.