@inproceedings{8426aa58ab8d49c2bd367fdabcfc9e2e,
title = "Geometrical image estimation with orthogonal bandlet bases",
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.",
keywords = "Bandlets, Image denoising, Minimax estimation, Model selection",
author = "Gabriel Peyr{\'e} and \{Le Pennecc\}, Erwan and Charles Dossal and St{\'e}phane Mallat",
year = "2007",
month = jan,
day = "1",
doi = "10.1117/12.731227",
language = "English",
isbn = "9780819468499",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
booktitle = "Wavelets XII",
note = "Wavelets XII ; Conference date: 26-08-2007 Through 29-08-2007",
}