Spatial Tessellations: Concepts and Applications of Voronoi Diagrams / Edition 2

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Overview

Spatial data analysis is a fast growing area and Voronoi diagrams provide a means of naturally partitioning space into subregions to facilitate spatial data manipulation, modelling of spatial structures, pattern recognition and locational optimization. With such versatility, the Voronoi diagram and its relative, the Delaunay triangulation, provide valuable tools for the analysis of spatial data. This is a rapidly growing research area and in this fully updated second edition the authors provide an up-to-date and comprehensive unification of all the previous literature on the subject of Voronoi diagrams.
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Editorial Reviews

Monatshefte fur Mathematik
While this edition maintains the overall structure of the first
Monatshefte fur Mathematik
While this edition maintains the overall structure of the first
From the Publisher
"While this edition maintains the overall structure of the first, there are substantial changes in the content..." (Mathematical Reviews, Issue 2001c)

"...a must..." (Monatshefte fur Mathematik, Vol 131/2, 2000)

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Product Details

Table of Contents

Foreword to the First Edition
Preface to the Second Edition
Acknowledgements (First Edition)
Acknowledgements (Second Edition)
Ch. 1 Introduction 1
Ch. 2 Definitions and Basic Properties of Voronoi Diagrams 43
Ch. 3 Generalizations of the Voronoi diagram 113
Ch. 4 Algorithms for Computing Voronoi Diagrams 229
Ch. 5 Poisson Voronoi Diagrams 291
Ch. 6 Spatial Interpolation 411
Ch. 7 Models of Spatial Processes 453
Ch. 8 Point Pattern Analysis 495
Ch. 9 Locational Optimization Through Voronoi Diagrams 531
References 585
Index 657
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