Atsuyuki Okabe & Barry Boots 
Spatial Tessellations [PDF ebook] 
Concepts and Applications of Voronoi Diagrams

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.

Features:

* Expands on the highly acclaimed first edition

* Provides an up-to-date and comprehensive survey of the existing
literature on Voronoi diagrams

* Includes a useful compendium of applications

* Contains an extensive bibliography

A wide range of applications is discussed, enabling this book to
serve as an important reference volume on this topic. The text will
appeal to students and researchers studying spatial data in a
number of areas, in particular, applied probability, computational
geometry, and Geographic Information Science (GIS). This book will
appeal equally to those whose interests in Voronoi diagrams are
theoretical, practical or both.

Зміст

Definitions and Basic Properties of Voronoi Diagrams.

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.

References.

Index.

Про автора

Atsuyuki Okabe is the author of Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, 2nd Edition, published by Wiley. Barry Boots is the author of Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, 2nd Edition, published by Wiley.