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Comptes Rendus Mathématique
Volume 334, n° 4
pages 343-348 (2002)
Doi : S1631-073X(02)02231-8
Received : 10 September 2001 ;  accepted : 26 November 2001
Necessary conditions for extremals of Blake & Zisserman functional
Conditions nécessaires d'extrémalité pour la fonctionnelle de Blake & Zisserman
 

Michele Carriero a, Antonio Leaci a, Franco Tomarelli b
a Dipartimento di Matematica “Ennio De Giorgi”, Via Arnesano, I-73100 Lecce, Italy 
b Dipartimento di Matematica “Francesco Brioschi”, Politecnico, Piazza Leonardo da Vinci 32, I-20133, Milano, Italy 

Note presented by Pierre-Louis Lions

Abstract

We show some necessary conditions for minimizers of a functional depending on free discontinuities, free gradient discontinuities and second derivatives, which is related to image segmentation. A candidate for minimality of main part of the functional is explicitly exhibited To cite this article: M. Carriero et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 343-348.

The full text of this article is available in PDF format.
Résumé

On donne des conditions nécessaires de minimisation d'une fonctionnelle dépendant de discontinuités libres et de dérivées secondes, reliée à la segmentation d'images. On exhibe un candidat explicite vérifiant toutes les conditions d'extrémalité. Pour citer cet article : M. Carriero et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 343-348.

The full text of this article is available in PDF format.


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