吉林大学学报(工学版) ›› 2013, Vol. 43 ›› Issue (01): 117-122.

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Representation model of topological relationship among three simple regions

LI Jian1,2,3, OUYANG Ji-hong1,3, WANG Zhen-xin1,3, WANG Wei2   

  1. 1. College of Computer Science and Technology, Jilin University, Changchun 130012, China;
    2. Information Technology College, Jilin Agricultural University, Changchun 130118, China;
    3. Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun 130012, China
  • Received:2012-01-11 Online:2013-01-01 Published:2013-01-01

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Abstract: There exist representative models for spatial topological relationships, such as the Region Connection Calculus (RCC) model and Intersection model. However, most of the models are suitable for the spatial relation between two regions, but few for three regions. In this paper, we extend the 4-intersection matrix model to 8-intersection model to represent the spatial relationship among three simple regions. Using this model we can obtain 109 topological relationships among three simple regions, which are 56 more than that can be obtained by the 4-intersection matrix model. We proved the exclusivity the completeness of the 109 topological relationships. We also present an algorithm to show that at most there are 109 feasible topological relationships among three simple regions.The conceptual neighborhood graph of 109 ternary topologiral relations is also given.

Key words: artificial intelligence, ternary topological relations, simple regions, region connection calculus(RCC), 8-mtersection matrix

CLC Number: 

  • TP18
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