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On the mean normal measures of a particle process

Part of: Geometric probability and stochastic geometry General convexity Stochastic processes

Published online by Cambridge University Press:  01 July 2016

Rolf Schneider
Rolf Schneider*
Affiliation:
Albert-Ludwigs-Universität, Freiburg
*
∗ Postal address: Mathematisches Institut, Albert-Ludwigs-Universität, Eckerstr. 1, D-79104 Freiburg in Breisgau, Germany. Email address: rschnei@ruf.uni-freiburg.de
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Abstract

The (unoriented or oriented) mean normal measure of a stationary process of convex particles carries information on the mean shape of the particles and may, in particular, be useful for describing and detecting anisotropy of the particle process. This paper investigates the mean normal measure under the aspect of its determination from intersections, especially with lines or hyperplanes.

Keywords

particle processmean normal measureBlaschke bodyanisotropy, determination from intersectionsstereology

MSC classification

Primary: 60D05: Geometric probability and stochastic geometry
Secondary: 60G55: Point processes 52A22: Random convex sets and integral geometry
Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 33 , Issue 1 , March 2001 , pp. 25 - 38
Copyright
Copyright © Applied Probability Trust 2001 

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