Precise formulae for the distributions of the principal geometric characteristics of the typical cells of a two-dimensional Poisson-Voronoi tessellation and a Poisson line process

By Pierre Calka. Advances in Applied Probability, 2003

58 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/81a4319941dcf9aac521d1d53ba98e0a1460a55e

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1. Pierre Calka

Citations in the corpus

• An explicit expression for the distribution of the number of sides of the typical Poisson-Voronoi cell (2003, background): “All these results will take place in a future paper [3].”
• The Palm measure and the Voronoi tessellation for the Ginibre process (2006, unknown): “The integrals involved are rather awkward; this should not be a surprise, since this is already the case for the Poisson–Voronoi typical cell [4].”