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High-dimension multi-label problems: convex or non convex relaxation?

hal.structure.identifierModelling, Observations, Identification for Environmental Sciences [MOISE]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPAPADAKIS, Nicolas
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorYILDIZOGLU, Romain
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAUJOL, Jean-François
hal.structure.identifierDepartament de Tecnologies de la Informació i les Comunicacions
dc.contributor.authorCASELLES, Vicent
dc.date.accessioned2024-04-04T02:22:13Z
dc.date.available2024-04-04T02:22:13Z
dc.date.created2012-11-26
dc.date.issued2013-12-02
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189636
dc.description.abstractEnThis paper is concerned with the problem of relaxing non convex functionals, used in image processing, into convex problems. We review most of the recently introduced relaxation methods, and we propose a new convex one based on a probabilistic approach, which has the advantages of being intuitive, flexible and involving an algorithm without inner loops. We investigate in detail the connections between the solutions of the relaxed functionals with a minimizer of the original one. Such connection is demonstrated only for non convex relaxation which turns out to be quite robust to initialization. As a case of study, we illustrate our theoretical analysis with numerical experiments, namely for the optical flow problem.
dc.description.sponsorshipAdaptivité pour la représentation des images naturelles et des textures - ANR-08-EMER-0009
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.subject.enmultilabel problems
dc.subject.enconvex relaxation
dc.subject.ensegmentation
dc.subject.endisparity and optical flow
dc.title.enHigh-dimension multi-label problems: convex or non convex relaxation?
dc.typeArticle de revue
dc.identifier.doi10.1137/120900307
dc.subject.halInformatique [cs]/Traitement des images
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
bordeaux.journalSIAM Journal on Imaging Sciences
bordeaux.page2603-2639
bordeaux.volume6
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00757084
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00757084v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM%20Journal%20on%20Imaging%20Sciences&rft.date=2013-12-02&rft.volume=6&rft.issue=4&rft.spage=2603-2639&rft.epage=2603-2639&rft.au=PAPADAKIS,%20Nicolas&YILDIZOGLU,%20Romain&AUJOL,%20Jean-Fran%C3%A7ois&CASELLES,%20Vicent&rft.genre=article


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