Acta Stereologica

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Francis Maisonneuve & Christian Lantuejoul

Geodesic convexity

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Abstract

This paper is a resumption of the paper entitled: "On the use of the geodesic metric in image analysis" which was presented by Ch. Lantuéjoul and S. Beucher at the 5th I.S.S. Congress. We recall several features that can be intrinsically defined on 2-D Euclidean subsets (length, geodesic radius). These features satisfy isoperimetric inequalities in the case where the subsets under study are simply connected. As an application, a metallographic case study is presented.

Pour citer cet article

Francis Maisonneuve & Christian Lantuejoul, «Geodesic convexity», Acta Stereologica [En ligne], Volume 3 (1984), Number 2 - Dec. 1984, 169-174 URL : https://popups.ulg.ac.be/0351-580x/index.php?id=4008.

A propos de : Francis Maisonneuve

Ecole des Mines de Paris, 60 Bd St-Michel, Paris, France

A propos de : Christian Lantuejoul

Centre de Géostatistique et de Morphologie Mathématique, 35 rue St-Honoré, 77305 Fontainebleau, France