Geometric Estimation with Orthogonal Bandlet Bases
| hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
| dc.contributor.author | PEYRÉ, Gabriel | |
| hal.structure.identifier | Laboratoire de Probabilités et Modèles Aléatoires [LPMA] | |
| dc.contributor.author | LE PENNEC, Erwan | |
| hal.structure.identifier | Laboratoire Bordelais d'Analyse et Géométrie [LaBAG] | |
| dc.contributor.author | DOSSAL, Charles | |
| hal.structure.identifier | Centre de Mathématiques Appliquées de l'Ecole polytechnique [CMAP] | |
| dc.contributor.author | MALLAT, Stéphane | |
| dc.contributor.editor | Dimitri Van De Ville | |
| dc.contributor.editor | Vivek K. Goyal | |
| dc.contributor.editor | Manos Papadakis | |
| dc.date.created | 2007-06 | |
| dc.date.issued | 2007-09-20 | |
| dc.date.conference | 2007-08-26 | |
| dc.description.abstractEn | This article presents the first adaptive quasi minimax estimator for geometrically regular images in the white noise model. This estimator is computed using a thresholding in an adapted orthogonal bandlet basis optimized for the noisy observed image. In order to analyze the quadratic risk of this best basis denoising, the thresholding in an orthogonal bandlets basis is recasted as a model selection process. The resulting estimator is computed with a fast algorithm whose theoretical performance can be derived. This efficiency is confirmed through numerical experiments on natural images. | |
| dc.language.iso | en | |
| dc.publisher | SPIE | |
| dc.source.title | Proceedings of SPIE, the International Society for Optical Engineering | |
| dc.subject.en | Bandlets | |
| dc.subject.en | denoising | |
| dc.subject.en | geometric estimation | |
| dc.subject.en | wavelets | |
| dc.subject.en | estimation | |
| dc.subject.en | minimax | |
| dc.title.en | Geometric Estimation with Orthogonal Bandlet Bases | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Informatique [cs]/Traitement du signal et de l'image | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Traitement du signal et de l'image | |
| bordeaux.page | 67010M.1-67010M.10 | |
| bordeaux.volume | 6701 | |
| bordeaux.issue | 2 | |
| bordeaux.country | US | |
| bordeaux.title.proceeding | Proceedings of SPIE, the International Society for Optical Engineering | |
| bordeaux.conference.city | San Diego, CA | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00365606 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.conference.end | 2007-08-26 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00365606v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Proceedings%20of%20SPIE,%20the%20International%20Society%20for%20Optical%20Engineering&rft.date=2007-09-20&rft.volume=6701&rft.issue=2&rft.spage=67010M.1-67010M.10&rft.epage=67010M.1-67010M.10&rft.au=PEYR%C3%89,%20Gabriel&LE%20PENNEC,%20Erwan&DOSSAL,%20Charles&MALLAT,%20St%C3%A9phane&rft.genre=unknown |
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