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The surface pair correlation function for stationary Boolean models
Published online by Cambridge University Press: 01 July 2016
Abstract
The random surface measure of a stationary Boolean model with grains from the convex ring is considered. A sufficient condition and a necessary condition for the existence of the density of the second-order moment measure of are given and a representation of this density is derived. As applications, the surface pair correlation functions of a Boolean model with spheres and a Boolean model with randomly oriented right circular cylinders in ℝ3 are determined.
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- Stochastic Geometry and Statistical Applications
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- Copyright © Applied Probability Trust 2007
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