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

External document link

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

Date

2007-09

Conference title

SPIE Wavelets XII

Conference date

2007-08

Conference city

San Diego, CA

Conference country

Etats-Unis

Metadata

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Author(s)

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

Abstract (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.

Subjects / Keywords

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