ENGLISH

Lectures on Random Voronoi Tessellations

By Jesper Møller (auth.)

Book information

Publisher
Springer-Verlag New York
Year
1994
ISBN
978-0-387-94264-3, 978-1-4612-2652-9
DOI
10.1007/978-1-4612-2652-9
Language
english
Format
PDF
Filesize
2 MB (2491455 bytes)
Series
Lecture Notes in Statistics 87
Edition
1
Pages
134\143
Topic
Physics
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Probability Theory and Stochastic Processes

Description

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.

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