Spatial tessellations : concepts and applications of Voronoi diagrams

著者

書誌事項

Spatial tessellations : concepts and applications of Voronoi diagrams

Atsuyuki Okabe, Barry Boots, Kokichi Sugihara ; with a foreword by D.G. Kendall

（Wiley series in probability and mathematical statistics）

Wiley & Sons, c1992

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注記

Includes bibliographical references (p. [489]-521) and index

内容説明・目次

内容説明

This treatise on spatial tessellations differentiates between Voronoi diagrams and Delone tesellations - mutually dual procedures which give fascinating but different insights into the structure of a set of points in m dimensions, and which have found numerous applications.

目次

  • Definitions and basic properties of the Voronoi diagram
  • generalizations of the Voronoi diagram
  • algorithms for computing Voronoi diagrams
  • poisson Voronoi diagrams
  • spatial interpolation
  • models of spatial processes
  • point pattern analysis
  • locational optimization through Voronoi diagrams.

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