Maintaining knowledge about temporal intervals
Communications of the ACM
Consistent Queries over Cardinal Directions Across Different Levels of Detail
DEXA '00 Proceedings of the 11th International Workshop on Database and Expert Systems Applications
Topological relationships between complex spatial objects
ACM Transactions on Database Systems (TODS)
The 9 + -Intersection: A Universal Framework for Modeling Topological Relations
GIScience '08 Proceedings of the 5th international conference on Geographic Information Science
Semi-automated derivation of conceptual neighborhood graphs of topological relations
COSIT'09 Proceedings of the 9th international conference on Spatial information theory
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This paper develops a series of qualitative spatial calculi that feature topological relations based on the 9+-intersection. While most qualitative spatial calculi have targeted spatial relations between single-type objects, our calculi support spatial relations between heterogeneous pairs of objects. We generalize the rules for deriving compositions of topological relations. As a result, a variety of composition tables can be generated systematically as a foundation of our new calculi. By integrating all relevant sets of topological relations, composition tables, and lists of converse relations, the algebraic framework of ordinary qualitative spatial calculi is successfully reused in our calculi for conducting spatial reasoning. We demonstrate that our 9+-intersection calculi realize finer reasoning than the former 9-intersection calculi.