Lecture Notes in Statistics

Lectures on Random Voronoi Tessellations

Authors: Moller, Jesper

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About this book

Tessellations are subdivisions of d-dimensional space into non-overlapping "cells". Voronoi tessellations are produced by first considering a set of points (known as nuclei) in d-space, and then defining cells as the set of points which are closest to each nuclei. A random Voronoi tessellation is produced by supposing that the location of each nuclei is determined by some random process. They provide models for many natural phenomena as diverse as the growth of crystals, the territories of animals, the development of regional market areas, and in subjects such as computational geometry and astrophysics. This volume provides an introduction to random Voronoi tessellations by presenting a survey of the main known results and the directions in which research is proceeding. Throughout the volume, mathematical and rigorous proofs are given making this essentially a self-contained account in which no background knowledge of the subject is assumed.

Table of contents (4 chapters)

  • Introduction and background

    Møller, Jesper

    Pages 1-14

  • Geometrical properties and other background material

    Møller, Jesper

    Pages 15-42

  • Stationary Voronoi tessellations

    Møller, Jesper

    Pages 43-82

  • Poisson-Voronoi tessellations

    Møller, Jesper

    Pages 83-124

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-1-4612-2652-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.99
price for USA in USD
  • ISBN 978-0-387-94264-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Lectures on Random Voronoi Tessellations
Authors
Series Title
Lecture Notes in Statistics
Series Volume
87
Copyright
1994
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4612-2652-9
DOI
10.1007/978-1-4612-2652-9
Softcover ISBN
978-0-387-94264-3
Series ISSN
0930-0325
Edition Number
1
Number of Pages
VIII, 134
Topics