一类带有互相包含洞的区域与简单区域间拓扑关系的表示

Representation of Topological Relations between the Region with Holes of Mutual Inclusion and the Simple Region

基于带洞区域间的拓扑关系建立适合表示该类拓扑关系的12-交集矩阵,通过给出的相应约束条件得到一类带有互相包含洞的区域与简单区域间的53种拓扑关系,并通过53种拓扑关系图验证了53种拓扑关系均是可实现的,最后证明了12-交集模型中基本关系的完备性和互斥性.

We built 12-intersection matrix model which appropriately represents these topological relations,and gave the relevantly restricted conditions,showed that there are at most 53 possible topological relations between the region with holes of mutual inclusion and a simple region by programs.Furthermore,we checked up that all these 53 topological relations are possible.We proved that these topological relations are exclusive and complete.