Geometrical image estimation with orthogonal bandlet bases

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

doi:10.1117/12.731227

20 September 2007 Geometrical image estimation with orthogonal bandlet bases

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

Proceedings Volume 6701, Wavelets XII; 67010M (2007) https://doi.org/10.1117/12.731227
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

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.

Citation Download Citation

Gabriel Peyré, Erwan Le Pennec, Charles Dossal, and Stéphane Mallat "Geometrical image estimation with orthogonal bandlet bases", Proc. SPIE 6701, Wavelets XII, 67010M (20 September 2007); https://doi.org/10.1117/12.731227

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