Contact and chord length distributions of the Poisson Voronoi tessellation

DOI10.2307/3214584zbMath0753.60019OpenAlexW2321892285MaRDI QIDQ4018340

Dietrich Stoyan, Lutz Muche

Publication date: 16 January 1993

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214584

zbMATH Keywords

Voronoi tessellationstationary Poisson processchord length probability density functions

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (10)

Distance from the nucleus to a uniformly random point in the 0-cell and the typical cell of the Poisson-Voronoi tessellation ⋮ Random Laguerre tessellations ⋮ The Poisson-Voronoi tessellation: relationships for edges ⋮ Contact and Chord Length Distribution Functions of the Poisson-Voronoi Tessellation in High Dimensions ⋮ Geometry models of porous media based on Voronoi tessellations and their porosity-permeability relations ⋮ Random Sets: Models and Statistics ⋮ Numerical and Analytical Computation of Some Second-Order Characteristics of Spatial Poisson-Voronoi Tessellations ⋮ Volume degeneracy of the typical cell and the chord length distribution for Poisson-Voronoi tessellations in high dimensions ⋮ On point processes defined by angular conditions on Delaunay neighbors in the Poisson–Voronoi Tessellation ⋮ Caution with “fractal” point patterns!

This page was built for publication: Contact and chord length distributions of the Poisson Voronoi tessellation