2015•Image Analysis & StereologyOpen access

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.

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Key concepts: Tessellation (computer graphics), Facet (psychology), Planar, Centroidal Voronoi tessellation, Mathematics, Space (punctuation), Geometry, Metric (unit)