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Published in:
2005 | OriginalPaper | Chapter
Semantics of Collinearity Among Regions
Authors : Roland Billen, Eliseo Clementini
Published in: On the Move to Meaningful Internet Systems 2005: OTM 2005 Workshops
Publisher: Springer Berlin Heidelberg
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Collinearity is a basic arrangement of regions in the plane. We investigate the semantics of collinearity in various possible meanings for three regions and we combine these concepts to obtain definitions for four and more regions. The aim of the paper is to support the formalization of projective properties for modelling geographic information and qualitative spatial reasoning. Exploring the semantics of collinearity will enable us to shed light on elementary projective properties from which all the others can be inferred. Collinearity is also used to find a qualitative classification of the arrangement of many regions in the plane.