A Bias-Variance Approach for the Nonlocal Means

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Imaging Sciences, volume 4, pages 760-788 (eissn: 1936-4954,

Copyright policy )

Authors: Vincent Duval; Jean-François Aujol; Yann Gousseau;

doi: 10.1137/100790902

A Bias-Variance Approach for the Nonlocal Means

- Summary
- Metrics

Abstract

This paper deals with the parameter choice for the nonlocal means (NLM) algorithm. After basic computations on toy models highlighting the bias of the NLM, we study the bias-variance trade-off of this filter so as to highlight the need of a local choice of the parameters. Relying on Stein's unbiased risk estimate, we then propose an efficient algorithm to locally set these parameters, and we compare this method with the NLM with optimal global parameter.

Related Organizations

Laboratoire Traitement et Communication de l’Information
France
Télécom ParisTech
France

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	69
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%