Suboptimality of nonlocal means on images with sharp edges

Arian Maleki; Manjari Narayan; Richard Baraniuk

doi:10.1109/Allerton.2011.6120182

Suboptimality of nonlocal means on images with sharp edges

Arian Maleki, Manjari Narayan, Richard Baraniuk

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

We conduct an asymptotic risk analysis of the nonlocal means image denoising algorithm for Horizon class images that are piecewise constant with a sharp edge discontinuity. We prove that the mean-square risk of nonlocal means is suboptimal and in fact is within a log factor of the mean square risk of wavelet thresholding.

Original language	English (US)
Title of host publication	2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Pages	299-305
Number of pages	7
DOIs	https://doi.org/10.1109/Allerton.2011.6120182
State	Published - Dec 1 2011
Event	2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011 - Monticello, IL, United States Duration: Sep 28 2011 → Sep 30 2011

Other

Other	2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Country	United States
City	Monticello, IL
Period	9/28/11 → 9/30/11

ASJC Scopus subject areas

Computer Networks and Communications
Control and Systems Engineering

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10.1109/Allerton.2011.6120182

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Maleki, A, Narayan, M & Baraniuk, R 2011, Suboptimality of nonlocal means on images with sharp edges. in 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011., 6120182, pp. 299-305, 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011, Monticello, IL, United States, 9/28/11. https://doi.org/10.1109/Allerton.2011.6120182

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AB - We conduct an asymptotic risk analysis of the nonlocal means image denoising algorithm for Horizon class images that are piecewise constant with a sharp edge discontinuity. We prove that the mean-square risk of nonlocal means is suboptimal and in fact is within a log factor of the mean square risk of wavelet thresholding.

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ER -

Suboptimality of nonlocal means on images with sharp edges

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