Phys. Rev. E 70, 066119 (2004) - Cell size distribution in random tessellations of space

Cell size distribution in random tessellations of space

Eloi Pineda, Pere Bruna, and Daniel Crespo

Phys. Rev. E 70, 066119 – Published 10 December 2004; Erratum Phys. Rev. E 76, 059904 (2007)

Abstract

Random subdivisions in a $D$ -dimensional Euclidean space are commonly observed in many scientific fields, such as metallurgy, geology, biology, and even, in the case of large $D$ , in subjects related to information codification. This paper presents an analytical approximation of the size probability distribution in space subdivisions generated by random point processes, which include the well-known cases of the Poisson-Voronoi and the Johnson-Mehl cellular structures. Based on the calculations of Gilbert [Ann. Math. Stat. 33, 958 (1962)] and an assumption for the distribution shape, the cell size distributions are obtained in a general way for a very wide range of random space subdivisions.

Received 10 May 2004

DOI:https://doi.org/10.1103/PhysRevE.70.066119

©2004 American Physical Society

Erratum

Erratum: Cell size distribution in random tessellations of space [Phys. Rev. E 70, 066119 (2004)]

Eloi Pineda, Pere Bruna, and Daniel Crespo

Phys. Rev. E 76, 059904 (2007)

Authors & Affiliations

Departament de Física i Enginyeria Nuclear, ESAB, Universitat Politècnica de Catalunya, Urgell 187, 08036 Barcelona, Spain

Pere Bruna and Daniel Crespo

Departament de Física Aplicada, EPSC, Universitat Politècnica de Catalunya, Avinguda del Canal Oímpic s/n, 08860 Castelldefels, Spain

^*Electronic address: eloi.pineda@upc.es

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Issue

Vol. 70, Iss. 6 — December 2004

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