Geodesic convexity
Francis Maisonneuve,
Ecole des Mines de Paris, 60 Bd St-Michel, Paris, France
Christian Lantuejoul,
Centre de Géostatistique et de Morphologie Mathématique, 35 rue St-Honoré, 77305 Fontainebleau, France
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.uliege.be/0351-580x/index.php?id=4008.