Sampling the Fourier transform along radial lines
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | DOSSAL, Charles | |
hal.structure.identifier | Méthodes numériques pour le problème de Monge-Kantorovich et Applications en sciences sociales [MOKAPLAN] | |
hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
dc.contributor.author | DUVAL, Vincent | |
hal.structure.identifier | Department of Applied Mathematics and Theoretical Physics [DAMTP] | |
hal.structure.identifier | Méthodes numériques pour le problème de Monge-Kantorovich et Applications en sciences sociales [MOKAPLAN] | |
dc.contributor.author | POON, Clarice | |
dc.date.accessioned | 2024-04-04T03:12:01Z | |
dc.date.available | 2024-04-04T03:12:01Z | |
dc.date.created | 2016-12-20 | |
dc.date.issued | 2017-11-02 | |
dc.identifier.issn | 0036-1429 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193825 | |
dc.description.abstractEn | This 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.iso | en | |
dc.publisher | Society for Industrial and Applied Mathematics | |
dc.subject.en | Radon transform | |
dc.subject.en | Total variation | |
dc.subject.en | Compressed sensing | |
dc.title.en | Sampling the Fourier transform along radial lines | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1137/16M1108807 | |
dc.subject.hal | Sciences de l'ingénieur [physics]/Traitement du signal et de l'image | |
dc.identifier.arxiv | 1612.06752 | |
bordeaux.journal | SIAM Journal on Numerical Analysis | |
bordeaux.volume | 55 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 6 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01421265 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01421265v1 | |
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