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Random tessellations in ℝd

Published online by Cambridge University Press:  01 July 2016

J. Møller
J. Møller*
Affiliation:
Aarhus University
*
∗Postal address: Department of Theoretical Statistics, Institute of Mathematics, Aarhus University, DK 8000 Aarhus, Denmark.
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Abstract

This paper presents a general theory of random tessellations (i.e. stochastic aggregates of disjoint and space-filling cells) in d-dimensional Euclidean space. Some particular models of random tessellations are discussed in detail.

Keywords

DELAUNEY TESSELLATIONFACET CHARACTERISTICSFLAT SECTIONSMEAN VALUE RELATIONSMOSAICSPALM MEASURESSTEREOLOGYSTOCHASTIC GEOMETRYTESSELLATIONSTESSELLATION CHARACTERISTICSVORONOI TESSELLATION
Type
Research Article
Information
Advances in Applied Probability , Volume 21 , Issue 1 , March 1989 , pp. 37 - 73
Copyright
Copyright © Applied Probability Trust 1989 

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