Demystifying the asymptotic behavior of global denoising

Houdard, Antoine; Almansa, Andrès; Delon, Julie

doi:10.1007/s10851-017-0716-6

by Antoine Houdard, Andrès Almansa, Julie Delon

Abstract:

In this work, we revisit the global denoising framework recently introduced by Talebi & Milanfar, with the classical formalism of diagonal estimation. We analyze the asymptotic behavior of its mean-squared error restoration performance when the image size tends to infinity. We introduce precise conditions both on the image and the global filter to ensure and quantify this convergence. We also discuss open issues concerning the most challenging aspect, namely the extension of these results to the non-oracle case.

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Reference:

Demystifying the asymptotic behavior of global denoising (Antoine Houdard, Andrès Almansa, Julie Delon), In Journal of Mathematical Imaging and Vision, Springer Verlag, 2017.

Bibtex Entry:

@article{houdard:hal-01340822,
	Abstract = {In this work, we revisit the global denoising framework recently introduced by Talebi {\&} Milanfar, with the classical formalism of diagonal estimation. We analyze the asymptotic behavior of its mean-squared error restoration performance when the image size tends to infinity. We introduce precise conditions both on the image and the global filter to ensure and quantify this convergence. We also discuss open issues concerning the most challenging aspect, namely the extension of these results to the non-oracle case.},
	Author = {Houdard, Antoine and Almansa, Andr{\`{e}}s and Delon, Julie},
	Date-Added = {2017-04-20 21:42:11 +0000},
	Date-Modified = {2017-04-20 21:42:11 +0000},
	Doi = {10.1007/s10851-017-0716-6},
	File = {:Users/almansa/Documents/Mendeley Desktop/PDFs/Houdard, Almansa, Delon - 2017 - Demystifying the asymptotic behavior of global denoising.pdf:pdf},
	Journal = {Journal of Mathematical Imaging and Vision},
	Keywords = {Asymptotic study,Diagonal Estimation,Global Denoising,Wiener Filtering},
	Mendeley-Groups = {{\_}My Publications,{\_}Proposals/2017-MAP5/almansa},
	Publisher = {Springer Verlag},
	Title = {{Demystifying the asymptotic behavior of global denoising}},
	Url = {https://hal.archives-ouvertes.fr/hal-01340822/},
	Year = {2017},
	Bdsk-Url-1 = {https://hal.archives-ouvertes.fr/hal-01340822/},
	Bdsk-Url-2 = {http://dx.doi.org/10.1007/s10851-017-0716-6}}