[Conditions nécessaires d'extrémalité pour la fonctionnelle de Blake & Zisserman]
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.
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
Accepté le :
Publié le :
Michele Carriero 1 ; Antonio Leaci 1 ; Franco Tomarelli 2
@article{CRMATH_2002__334_4_343_0,
author = {Michele Carriero and Antonio Leaci and Franco Tomarelli},
title = {Necessary conditions for extremals of {Blake} & {Zisserman} functional},
journal = {Comptes Rendus. Math\'ematique},
pages = {343--348},
publisher = {Elsevier},
volume = {334},
number = {4},
year = {2002},
doi = {10.1016/S1631-073X(02)02231-8},
language = {en},
}
TY - JOUR AU - Michele Carriero AU - Antonio Leaci AU - Franco Tomarelli TI - Necessary conditions for extremals of Blake & Zisserman functional JO - Comptes Rendus. Mathématique PY - 2002 SP - 343 EP - 348 VL - 334 IS - 4 PB - Elsevier DO - 10.1016/S1631-073X(02)02231-8 LA - en ID - CRMATH_2002__334_4_343_0 ER -
Michele Carriero; Antonio Leaci; Franco Tomarelli. Necessary conditions for extremals of Blake & Zisserman functional. Comptes Rendus. Mathématique, Volume 334 (2002) no. 4, pp. 343-348. doi : 10.1016/S1631-073X(02)02231-8. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02231-8/
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