Issue No. 08 - August (2007 vol. 19)
Timos Sellis , IEEE
Manolis Koubarakis , IEEE Computer Society
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.
Spatial databases and GIS, cone-based directional relations, inverse and composition operators.
N. Sarkas, S. Skiadopoulos, M. Koubarakis and T. Sellis, "A Family of Directional Relation Models for Extended Objects," in IEEE Transactions on Knowledge & Data Engineering, vol. 19, no. , pp. 1116-1130, 2007.