A Model for Representing and Reasoning of Spatial Relations between Simple Concave Regions

Jihong Ouyang, Qian Fu, Dayou Liu · Dianzi xuebao · 2009

The most typical models of spatial topological relations are Region Connection Calculus(RCC)and 9-intersection model.However,there are few contributions on topological relations of concave regions in which the representative model is Conn' s RCC23.There are some limitations of RCC23 especially in practical applications due to its less expressiveness.On the basis of E-genhofer's and El-Geresy's general methods for spatial reasoning,this paper completed the following work:9-intersection matrix is extended to 16-intersection matrix;RCC23 is refined to RCC62 based on 16-intersection matrix;the Conceptual Neighborhood Graph (CNG)and the Closest Topological Relation Graph(CTRG)of RCC62 are given;reasoning rules for RCC62 composed relations are presented.There are 39 new relations in RCC62,which is more expressive than RCC23;Base on the reasoning rules of RCC62,the composition table of RCC62 can be derived.

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