Skip to Main content Skip to Navigation
Journal articles

Demystifying the asymptotic behavior of global denoising

Abstract : 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.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01340822
Contributor : Antoine Houdard <>
Submitted on : Tuesday, March 21, 2017 - 5:51:19 PM
Last modification on : Saturday, April 11, 2020 - 1:56:12 AM
Document(s) archivé(s) le : Thursday, June 22, 2017 - 2:00:54 PM

File

paper_global_denoising.pdf
Files produced by the author(s)

Identifiers

Citation

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

Share

Metrics

Record views

743

Files downloads

802