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On Second-Order Characteristics of Germ-Grain Models with Convex Grains

Part of:Stochastic processesGeometric probability and stochastic geometry

Published online by Cambridge University Press:  21 December 2009

Felix Ballani
Felix Ballani
Affiliation:
AG Mathematical Geometry Processing, Freie Universität Berlin, Arnimallee 3, D-14195 Berlin, Germany. E-mail: ballani@mi.fu-berlin.de
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Abstract

For a stationary random closed set Ξ in ℝd it is well known that the first-order characteristics volume fraction VV, surface intensity SV and spherical contact distribution function Hs(t) are related by

(1 – VV) Hs′(0) = SV.

MSC classification

Secondary:60D05: Geometric probability and stochastic geometry60G57: Random measures

Information

Type
Research Article
Information
Mathematika , Volume 53 , Issue 2 , December 2006, pp. 255 - 285
Copyright
Copyright © University College London 2006

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