GEOMETRIC IDENTITIES IN STEREOLOGICAL PARTICLE ANALYSIS

Stephan Kötzer

Abstract

The paper reviews recent findings about geometric identities in integral geometry and geometric tomography, and their statistical application to stereological particle analysis. Open questions are discussed. This survey can also serve as an introduction to modern stereological particle analysis for readers who are interested in the mathematical background of the new methods.

Keywords
extremes; geometric identities; particle problem; shape modelling; stereology;Wicksell's corpuscle problem

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DOI: 10.5566/ias.v25.p63-74

Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)