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The Poisson Voronoi Tessellation II. Edge Length Distribution Functions

✍ Scribed by Lutz Muche

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 560 KB
Volume: 178
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19961780113

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✦ Synopsis

This paper presents a method for the determination of the distribution function of the length of the 'typical' edge of the Poisson Voronoi tessellation. The method is based on distributional properties of the configuration of the centres in the neighbourhood of the 'typical' vertex. The distribution and density functions of the edge lengths are given in double integral form for various dimensions. Analogous characteristics are considered for two-dimensional sections through higherdimensional Poisson Voronoi tessellations.

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