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Issue No. 08 - August (2007 vol. 19)
ISSN: 1041-4347
pp: 1116-1130
ABSTRACT
In this paper, we introduce a family of expressive models for qualitative spatial reasoning with directions. The proposed family is based on the cognitive plausible cone-based model. We formally define the directional relations that can be expressed in each model of the family. Then, we use our formal framework to study two interesting problems: computing the inverse of a directional relation and composing two directional relations. For the composition operator, in particular, we concentrate on two commonly used definitions, namely, consistency-based and existential composition. Our formal framework allows us to prove that our solutions are correct. The presented solutions are handled in a uniform manner and apply to all of the models of the family.
INDEX TERMS
Geographic Information Systems, Artificial intelligence, Multimedia databases, Computer Society, Spatial databases, Intelligent systems, Deductive databases, Intelligent structures, Multimedia systems,inverse and composition operators., Spatial databases and GIS, cone-based directional relations
CITATION
"A Family of Directional Relation Models for Extended Objects", IEEE Transactions on Knowledge & Data Engineering, vol. 19, no. , pp. 1116-1130, August 2007, doi:10.1109/TKDE.2007.1046
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