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一个凹形区域和一个简单区域间拓扑关系的表示
引用本文:李健,欧阳继红,陈岗,王振鑫.一个凹形区域和一个简单区域间拓扑关系的表示[J].吉林大学学报(工学版),2013,43(2):386-390.
作者姓名:李健  欧阳继红  陈岗  王振鑫
作者单位:1. 吉林大学计算机科学与技术学院,长春130012;吉林农业大学信息技术学院长春130118;吉林大学符号计算与知识工程教育部重点实验室,长春130012
2. 吉林大学计算机科学与技术学院,长春130012;吉林大学符号计算与知识工程教育部重点实验室,长春130012
3. 吉林农业大学信息技术学院长春130118
基金项目:国家自然科学基金项目(61170092,61133011,60973088,60973089,61103091);吉林农业大学青年启动基金项目(201040)
摘    要:通过扩展4-交集矩阵得到6-交集矩阵,对一个凹形区域和一个简单区域间的拓扑关系进行表示,而且得到凹形区域和简单区域间的17种拓扑关系图,并给出其概念领域图。本文提出的6-交集模型比RCC5关系新增了12种拓扑关系,其表达能力更强。证明了一个凹形区域和一个简单区域间17种拓扑关系的互斥性和完备性;给出了拓扑关系算法,并通过程序验证了17种拓扑关系均是可实现的。

关 键 词:人工智能  拓扑关系  凹形区域  6-交集模型

Representation of topological relations between a hollow region and a simple region
LI Jian,OUYANG Ji-hong,CHEN Gang,WANG Zhen-xin.Representation of topological relations between a hollow region and a simple region[J].Journal of Jilin University:Eng and Technol Ed,2013,43(2):386-390.
Authors:LI Jian  OUYANG Ji-hong  CHEN Gang  WANG Zhen-xin
Affiliation:1,3(1.College of Computer Science and Technology,Jilin University,Changchun 130012,China;2.College of Information Technology,Jilin Agricultural University,Changchun 130118,China;3.Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education,Jilin University,Changchun 130012,China)
Abstract:The topological relations between a hollow region and a simple region are represented by extending a four-intersection matrix model to a six-intersection matrix model,and the diagrams of seventeen topological relations between the two regions are obtained.The proposed six-intersection matrix model can give twelve more topological relations than the four-intersection matrix model,and its ability of expression is stronger.It is proved that,between a hollow region and a simple region,there are only seventeen topological relations,which are exclusive and completed.A topological relation algorithm is given,which validates that these topological relations can be realized by program.
Keywords:artificial intelligence  topological relations  hollow region  6-intersection matrix model
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