Geometric Estimation with Orthogonal Bandlet Bases

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

Mallat, Stéphane; Dossal, Charles; Le Pennec, Erwan; Peyré, Gabriel (2007-09), Geometric Estimation with Orthogonal Bandlet Bases, SPIE Wavelets XII, 2007-08, San Diego, CA, Etats-Unis

Type

Communication / Conférence

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

Date

2007-09

Titre du colloque

SPIE Wavelets XII

Date du colloque

2007-08

Ville du colloque

San Diego, CA

Pays du colloque

Etats-Unis

Métadonnées

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Auteur(s)

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

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

minimax; estimation; wavelets; geometric estimation; denoising; Bandlets