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Contact and chord length distributions of the Poisson Voronoi tessellation

Part of: Geometric probability and stochastic geometry General convexity

Published online by Cambridge University Press:  14 July 2016

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

Keywords

LINEAR CONTACT DISTRIBUTIONSPHERICAL CONTACT DISTRIBUTION

MSC classification

Primary: 60D05: Geometric probability and stochastic geometry
Secondary: 52A22: Random convex sets and integral geometry
Type
Short Communications
Information
Journal of Applied Probability , Volume 29 , Issue 2 , June 1992 , pp. 467 - 471
Copyright
Copyright © Applied Probability Trust 1992 

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