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A computational approach for the analysis of changes in polygon distributions

Author

Listed:
  • Yukio Sadahiro

    (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))

  • Mitsuru Umemura

    (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))

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.

Suggested Citation

  • Yukio Sadahiro & Mitsuru Umemura, 2001. "A computational approach for the analysis of changes in polygon distributions," Journal of Geographical Systems, Springer, vol. 3(2), pages 137-154, August.
    • Handle: RePEc:kap:jgeosy:v:3:y:2001:i:2:d:10.1007_pl00011471
    DOI: 10.1007/PL00011471
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    Cited by:

    1. Colin Robertson & Trisalyn Nelson & Barry Boots & Michael Wulder, 2007. "STAMP: spatial–temporal analysis of moving polygons," Journal of Geographical Systems, Springer, vol. 9(3), pages 207-227, September.
    2. Elizabeth Mack & Yifan Zhang & Sergio Rey & Ross Maciejewski, 2014. "Spatio-temporal analysis of industrial composition with IVIID: an interactive visual analytics interface for industrial diversity," Journal of Geographical Systems, Springer, vol. 16(2), pages 183-209, April.

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