Abstract
Conceptual neighborhood graphs are similarity-based schemata of spatial/temporal relations. This paper proposes a semi-automated method for deriving a conceptual neighborhood graph of topological relations, which shows all pairs of relations between which a smooth transformation can be performed. The method is applicable to various sets of topological relations distinguished by the 9+-intersection. The method first identifies possible primitive-level transitions, combines those primitive-level transitions, and removes invalid combinations that do not satisfy some necessary conditions. As a demonstration, we develop conceptual neighborhood graphs of topological regionregion relations in R2, S2, and R3, topological relations between a directed line and a region in R2, and Allen's interval relations.
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