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- Geodesic convexity
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Francis Maisonneuve & Christian Lantuejoul
Geodesic convexity
(Volume 3 (1984) — Number 2 - Dec. 1984)
Article
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.
To cite this 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.
About: Francis Maisonneuve
Ecole des Mines de Paris, 60 Bd St-Michel, Paris, France
About: Christian Lantuejoul
Centre de Géostatistique et de Morphologie Mathématique, 35 rue St-Honoré, 77305 Fontainebleau, France