Geometrical image estimation with orthogonal bandlet bases

Peyré, Gabriel; Le Pennec, Erwan; Dossal, Charles; Mallat, Stéphane

Peyré, Gabriel; Le Pennec, Erwan; Dossal, Charles; Mallat, Stéphane (2007), Geometrical image estimation with orthogonal bandlet bases, dans Van de Ville, Dimitri; Goyal, Vivek K.; Papadakis, Manos, Wavelets XII - Proceedings, International Society for Optical Engineering. http://dx.doi.org/10.1117/12.731227

Type

Communication / Conférence

Lien vers un document non conservé dans cette base

http://hal.archives-ouvertes.fr/hal-00365606

Date

2007

Titre du colloque

Wavelets XII

Date du colloque

2007-08

Ville du colloque

San Diego

Pays du colloque

États-Unis

Titre de l'ouvrage

Wavelets XII - Proceedings

Auteurs de l’ouvrage

Van de Ville, Dimitri; Goyal, Vivek K.; Papadakis, Manos

Éditeur

International Society for Optical Engineering

Titre de la collection

SPIE Proceedings

Numéro dans la collection

6701

Résumé (EN)

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.

Mots-clés

model selection; minimax estimation; bandlets; Image denoising