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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2002-16
April 2002

Geometric Tomography and Local Stereology


Eva B. Vedel Jensen

R. J. Gardner, A. Volcic


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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This paper has now been published in Adv. Appl. Math. 30, 397--423 (2003)