MPS-RR 2002-16
April 2002

Geometric Tomography and Local Stereology

Eva B. Vedel Jensen

R. J. Gardner, A. Volcic

Abstract

A substantial portion of E. Lutwak's dual Brunn-Minkowski theory, originally applicable only to star-shaped sets, is extended to the class of bounded Borel sets. The extension is motivated by an important application to local stereology, a collection of stereological designs based on sections through a fixed reference point that has achieved significant medical results in neuroscience and cancer grading.

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