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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDOSSAL, Charles
hal.structure.identifierMéthodes numériques pour le problème de Monge-Kantorovich et Applications en sciences sociales [MOKAPLAN]
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorDUVAL, Vincent
hal.structure.identifierDepartment of Applied Mathematics and Theoretical Physics [DAMTP]
hal.structure.identifierMéthodes numériques pour le problème de Monge-Kantorovich et Applications en sciences sociales [MOKAPLAN]
dc.contributor.authorPOON, Clarice
dc.date.accessioned2024-04-04T03:12:01Z
dc.date.available2024-04-04T03:12:01Z
dc.date.created2016-12-20
dc.date.issued2017-11-02
dc.identifier.issn0036-1429
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193825
dc.description.abstractEnThis article considers the use of total variation minimization for the recovery of a superposition of point sources from samples of its Fourier transform along radial lines. We present a numerical algorithm for the computation of solutions to this infinite dimensional problem. The theoretical results of this paper make precise the link between the sampling operator and the recoverability of the point sources.
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.subject.enRadon transform
dc.subject.enTotal variation
dc.subject.enCompressed sensing
dc.title.enSampling the Fourier transform along radial lines
dc.typeArticle de revue
dc.identifier.doi10.1137/16M1108807
dc.subject.halSciences de l'ingénieur [physics]/Traitement du signal et de l'image
dc.identifier.arxiv1612.06752
bordeaux.journalSIAM Journal on Numerical Analysis
bordeaux.volume55
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue6
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01421265
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01421265v1
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