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The Poisson Voronoi Tessellation II. Edge Length Distribution Functions
Author(s) -
Muche Lutz
Publication year - 1996
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19961780113
Subject(s) - centroidal voronoi tessellation , mathematics , voronoi diagram , poisson distribution , tessellation (computer graphics) , enhanced data rates for gsm evolution , geometry , statistics , computer science , artificial intelligence
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 higher‐dimensional Poisson Voronoi tessellations.