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Contact and chord length distributions of the Poisson Voronoi tessellation

Published online by Cambridge University Press:  14 July 2016

Lutz Muche
Affiliation:
Bergakademie Freiberg
Dietrich Stoyan*
Affiliation:
Bergakademie Freiberg
*
Postal address: Fachbereich Mathematik, Bergakademie Freiberg, DO-9200 Freiberg, Germany.

Abstract

This paper presents the form of some characteristics of the Voronoi tessellation which is generated by a stationary Poisson process in . Expressions are given for the spherical and linear contact distribution functions. These formulae lead to numerically tractable double-integral formulae for chord length probability density functions.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1992 

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