MEAN VALUES FOR HOMOGENEOUS STIT TESSELLATIONS IN 3D

Werner Nagel, Viola Weiss

Abstract

Recently (Nagel and Weiss, 2005), the class of homogeneous random tessellations that are stable under the operation of iteration (STIT) was introduced. In the present paper this model is reviewed and new results for the mean values of essential geometric features of STIT tessellations in two and three dimensions are provided and proved. For the isotropic model, these mean values are compared with those ones of the Poisson-Voronoi and of the Poisson plane tessellations, respectively.

Keywords
crack pattern; mean values; random tessellations; spatial statistics; stochastic geometry

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DOI: 10.5566/ias.v27.p29-37

Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)