Acta Stereologica

0351-580X

 

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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

Om dit artikel te citeren:

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.

Over : Ilya S. Molchanov

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