A computational approach for the analysis of changes in polygon distributions |
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Authors: | Yukio Sadahiro Mitsuru Umemura |
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Institution: | Center for Spatial Information Science, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan?(e-mail: sada@okabe.t.u-tokyo.ac.jp), JP Department of Urban Engineering, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan?(e-mail: sada@okabe.t.u-tokyo.ac.jp), JP
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Abstract: | This paper develops a computational method for analyzing changes in polygon distributions. Unmovable polygons that change
discontinuously without explicit functional linkage information are discussed. Six types of primitive events are used to describe
the change: 1) generation, 2) disappearance, 3) expansion, 4) shrinkage, 5) union, and 6) division. The change of polygon
distributions is decomposed into a combination of these events. A computational procedure for deducing a set of events from
polygon distributions of two times is proposed. The method is applied to the analysis of the spatial competition between the
major and small chains of convenience stores in Tokyo, Japan. Some empirical findings are shown.
Received: 3 August 2000 / Accepted: 6 February 2001 |
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Keywords: | : Polygon distributions events computational approach |
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