Acta Stereologica

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Ilya S. Molchanov

On estimation of the shape of an isotropic grain in the Boolean model

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Abstract

A Boolean model is considered where the typical grain ωM results from a random isotropic rotation of a deterministic convex set M of positive volume. An estimator for the set M is proposed.

Keywords : Boolean model, empirical capacity functional, estimation, random closed set, typical grain

Pour citer cet article

Ilya S. Molchanov, «On estimation of the shape of an isotropic grain in the Boolean model», Acta Stereologica [En ligne], Volume 12 (1993), Number 2 - Proceedings of the sixth European congress for stereology - Part one - Dec. 1993, 181-184 URL : https://popups.ulg.ac.be/0351-580x/index.php?id=1543.

A propos de : Ilya S. Molchanov

TU Bergakademie Freiberg, FB Mathematik, D-09596 Freiberg (Sachs), Germany