Modelling conceptual neighbourhoods of topological line-region relations |
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| Authors: | Max J Egenhofer David M Mark |
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| Institution: | 1. National Center for Geographic Information and Analysis and Department of Surveying Engineering, Department of Computer Science , University of Maine , Orono, ME, 04469-5711, U.S.A. E-mail: "max@mecanl. maine.edu";2. National Center for Geographic Information and Analysis and Department of Geography , State University of New York, Buffalo , Buffalo, NY, 14261, U.S.A. E-mail: "geodmm@ubrms.cc.buffalo.edu" |
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| Abstract: | Abstract Based on the 9-intersection for binary topological relations, two models of conceptual neighbourhoods among topological relations between a line and a region are developed. The snapshot model derives the neighbourhoods by comparing pairs of topological relations and selects neighbours based on least noticeable differences, whereas the smooth-transition model develops neighbourhoods based on the knowledge of the deformations that may change a topological relation. The resulting similarity diagrams show some differences, which were compared with the results from tests in which human subjects were asked to organized line-region relations into groups of similar relations. The groupings the subjects made indicate that the smooth-transition model captures more important aspects of the similarity of topological line-region relations than the snapshot model. |
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