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A Family of Directional Relation Models for Extended Objects

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4 Author(s)
Skiadopoulos, S. ; Univ. of Peloponnese, Tripolis ; Sarkas, N. ; Sellis, T. ; Koubarakis, M.

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.

Published in:

Knowledge and Data Engineering, IEEE Transactions on  (Volume:19 ,  Issue: 8 )

Date of Publication:

Aug. 2007

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