Reasoning about Qualitative Spatial Relationships
Journal of Automated Reasoning
Single-Holed Regions: Their Relations and Inferences
GIScience '08 Proceedings of the 5th international conference on Geographic Information Science
Formal and conceptual modeling of spatio-temporal granularities
IDEAS '09 Proceedings of the 2009 International Database Engineering & Applications Symposium
Comparing relations with a multi-holed region
COSIT'09 Proceedings of the 9th international conference on Spatial information theory
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Spatial granularities allow one to qualify classical data adding them space locations. In order to compare data qualified with different granularities and to associate data to different granularities (e.g., in analysis similar to drill-down and roll-up operations), it is necessary to know how the involved granularities are related. However, the explicit evaluation of these relationships may be heavy from a computational point of view. Moreover, the explicit evaluation of these relationships could not be requested, as relationships can be derived from already established ones. Thus, in this paper, we propose an inference system for deriving spatial relationships that definitely hold, starting from a given set of relationships between spatial granularities, without evaluating them explicitly.