Lectures on Random Voronoi Tessellations

Jesper Moller

ISBN 10: 0387942645 / ISBN 13: 9780387942643

Published by Springer-Verlag New York Inc., 1994

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Bibliographic Details

• Title: Lectures on Random Voronoi Tessellations
• Publisher: Springer-Verlag New York Inc.
• Publication Date: 1994
• Language: English
• ISBN 10: 0387942645
• ISBN 13: 9780387942643
• Binding: Paperback / softback
• Condition: New
• Weight: 238 grams

About this title

Synopsis

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.