Acta Stereologica Acta Stereologica -  Volume 12 (1993)  Number 2 - Proceedings of the sixth European congress for stereology - Part one - Dec. 1993 

The determination of shape and mean shape from sections and projections

Wolfgang Weil
Mathematisches Institut II, Universität Karlsruhe, D-76128 Karlsruhe, Germany

Abstract

Classical and recent uniqueness results for convex bodies by sections or projections are described and the corresponding estimation problems from incomplete information are discussed. The results are applied to planar random sets, spatial fibre processes, and Boolean models. It is shown that convex mean bodies can give information about the shape distribution even for random structures of a non-convex nature.

Keywords : Boolean model, convex bodies, projections, random set, sections, fibre process

To cite this article

Wolfgang Weil, «The determination of shape and mean shape from sections and projections», Acta Stereologica [En ligne], Volume 12 (1993), Number 2 - Proceedings of the sixth European congress for stereology - Part one - Dec. 1993, 73-84 URL : https://popups.ulg.ac.be/0351-580x/index.php?id=1412.