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On projected thick sections of stationary point processes and Boolean models

Published online by Cambridge University Press:  01 July 2016

Markus Kiderlen
Markus Kiderlen*
Affiliation:
Universität Karlsruhe
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Extract

For a stationary point process X of convex particles in ℝd the projected thick section process X(L) on a q-dimensional linear subspace L is considered. Formulae connecting geometric functionals, e.g. the quermass densities of X and X(L), are presented. They generalize the classical results of Miles (1976) and Davy (1976) which hold only in the isotropic case.

Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 28 , Issue 2 , June 1996 , pp. 335
Copyright
Copyright © Applied Probability Trust 1996 

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References

Davy, P. (1976) Projected thick sections through multidimensional particle aggregates. J. Appl. Prob. 13, 714–722. Correction: (1978) J. Appl. Prob. 15, 456.Google Scholar
Miles, R. E. (1976) Estimating aggregate and overall characteristics from thick sections by transmission microscopy J. Microsc. 107, 227–233.Google Scholar