Geometric Estimation with Orthogonal Bandlet Bases
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
TypeCommunication / Conférence
External document linkhttp://hal.archives-ouvertes.fr/hal-00365606/en/
Conference titleSPIE Wavelets XII
Conference citySan Diego, CA
MetadataShow full item record
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 / Keywordsminimax; estimation; wavelets; geometric estimation; denoising; Bandlets
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