Lectures on Random Voronoi Tessellations
Jesper Moller(Author)
Springer (Publisher)
Published in April 1994
Book
Paperback/Softback
VIII, 134 pages
978-3-540-94264-1 (ISBN)
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.
More details
Series
Language
English
Place of publication
Berlin
Germany
Target group
College/higher education
Professional and scholarly
Product notice
Paperback (UK-trade)
Illustrations
28 illustrations, 7 tables
Dimensions
Height: 216 mm
Width: 138 mm
Weight
255 gr
ISBN-13
978-3-540-94264-1 (9783540942641)
Schweitzer Classification