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  4. The second volume moment of the typical cell and higher moments of edge lengths of the spatial Poisson-Voronoi tessellation
 
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2011
Journal Article
Titel

The second volume moment of the typical cell and higher moments of edge lengths of the spatial Poisson-Voronoi tessellation

Abstract
This paper presents analytical results for higher moments of characteristics of a Voronoi tessellation generated by a homogeneous Poisson point process in the three-dimensional Euclidean space. The second moment of the volume of the typical cell as well as higher moments for the edge length distribution and the linear contact distribution are given. These characteristics are calculated analytically and presented in a unified form.
Author(s)
Muche, L.
Fraunhofer-Institut für Integrierte Schaltungen IIS
Ballani, F.
TU Bergakademie Freiberg
Zeitschrift
Monatshefte für Mathematik
DOI
10.1007/s00605-010-0202-3
File(s)
001.pdf (109.13 KB)
Language
English
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Fraunhofer-Institut für Integrierte Schaltungen IIS
Tags
  • Poisson-Voronoi tesse...

  • zero cell

  • typical cell

  • edge length

  • linear contact distri...

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