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

作　　者：李健[1] 朱佳斌[1] 赵慧[1] 

机构地区：[1]吉林农业大学信息技术学院,长春130118

出　　处：《吉林大学学报（理学版）》2013年第6期1107-1110,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11071026;61170092;61133011;60973088;60973089;61103091);吉林省科技发展计划项目(批准号:20130522110JH)

摘　　要：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.

关 键 词：人工智能 带洞区域 12-交集模型 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]