Geometric Estimation with Orthogonal Bandlet Bases
Language
en
Communication dans un congrès
This item was published in
Proceedings of SPIE, the International Society for Optical Engineering, Proceedings of SPIE, the International Society for Optical Engineering, 2007-08-26, San Diego, CA. 2007-09-20, vol. 6701, n° 2, p. 67010M.1-67010M.10
SPIE
English 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 ...Read more >
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.Read less <
English Keywords
Bandlets
denoising
geometric estimation
wavelets
estimation
minimax
Origin
Hal imported