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Proceedings Paper

Geometrical image estimation with orthogonal bandlet bases
Author(s): Gabriel Peyré; Erwan Le Pennec; Charles Dossal; Stéphane Mallat
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Paper Abstract

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.

Paper Details

Date Published: 20 September 2007
PDF: 10 pages
Proc. SPIE 6701, Wavelets XII, 67010M (20 September 2007); doi: 10.1117/12.731227
Show Author Affiliations
Gabriel Peyré, Univ. Paris Dauphine (France)
Erwan Le Pennec, Univ. Paris Diderot (France)
Charles Dossal, Univ. Bordeaux I (France)
Stéphane Mallat, CMAP, École Polytechnique (France)

Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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