Random Laguerre Tessellations
Abstract
A systematic study of random Laguerre tessellations, weighted generalisations of the well-known Voronoi tessellations, is presented. We prove that every normal tessellation with convex cells in dimension three and higher is a Laguerre tessellation. Tessellations generated by stationary marked Poisson processes are then studied in detail. For these tessellations, we obtain integral formulae for geometric characteristics and densities of the...
Paper Details
Title
Random Laguerre Tessellations
Published Date
Sep 1, 2008
Volume
40
Issue
3
Pages
630 - 650
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