Demystifying the asymptotic behavior of global denoising - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Imaging and Vision Année : 2017

Demystifying the asymptotic behavior of global denoising

Résumé

In this work, we revisit the global denoising framework recently introduced by Talebi and Milanfar. We analyze the asymptotic behavior of its mean-squared error restoration performance in the oracle case when the image size tends to infinity. We introduce precise conditions on both the image and the global filter to ensure and quantify this convergence. We also make a clear distinction between two different levels of oracle that are used in that framework. By reformulating global denoising with the classical formalism of diagonal estimation, we conclude that the second-level oracle can be avoided by using Donoho and Johnstone’s theorem, whereas the first-level oracle is mostly required in the sequel. We also discuss open issues concerning the most challenging aspect, namely the extension of these results to the case where neither oracle is required.
Fichier principal
Vignette du fichier
paper_global_denoising.pdf (10.38 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01340822 , version 1 (04-07-2016)
hal-01340822 , version 2 (13-07-2016)
hal-01340822 , version 3 (21-03-2017)

Identifiants

Citer

Antoine Houdard, Andrès Almansa, Julie Delon. Demystifying the asymptotic behavior of global denoising. Journal of Mathematical Imaging and Vision, 2017, ⟨10.1007/s10851-017-0716-6⟩. ⟨hal-01340822v3⟩
646 Consultations
341 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More