COLUMN TESSELLATIONS

Linh Ngoc Nguyen, Viola Weiss, Richard Cowan

Abstract

A new class of non facet-to-facet random tessellations in three-dimensional space is introduced -- the so-called column tessellations. The spatial construction is based on a stationary planar tessellation; each cell of the spatial tessellation is a prism whose base facet is  congruent to a cell of the planar tessellation. Thus intensities, topological and metric mean values of the spatial tessellation can be calculated from suitably chosen parameters of the planar tessellation.

Keywords
combinatorial topology; random tessellations; stochastic geometry

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DOI: 10.5566/ias.1285

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