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On estimation of the Euler number by projections of thin slabs

Part of: Geometric probability and stochastic geometry Topological manifolds

Published online by Cambridge University Press:  01 July 2016

J. Rataj
J. Rataj*
Affiliation:
Charles University, Prague
*
∗ Postal address: Mathematical Institute of Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic. Email address: rataj@karlin.mff.cuni.cz
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Abstract

A stereological formula for the Euler number involving projections of the set in thin parallel slabs is considered. Sufficient conditions for the validity of this formula are derived.

Keywords

Euler-Poincaré characteristicmorphological closureconvex ringdeformation retract

MSC classification

Primary: 60D05: Geometric probability and stochastic geometry 57N15: Topology of $E^n$, $n$-manifolds ($4 less n less infty$)
Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 36 , Issue 3 , September 2004 , pp. 715 - 724
Copyright
Copyright © Applied Probability Trust 2004 

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Footnotes

Supported by the Grant Agency of the Czech Republic, project 201/03/0946, and by MSM 113200007.

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