On the parameter choice for the Non-Local Means

Vincent Duval (1) , Jean-François Aujol (2) , Yann Gousseau (1)

1 LTCI - Laboratoire Traitement et Communication de l'Information
2 CMLA - Centre de Mathématiques et de Leurs Applications

This paper deals with the parameter choice for the NL-Means algorithm. Starting with basic computations on toy models, we study the bias-variance trade-off of this filter using a simple notion of regularity in the patch space. We show that this regularity is necessarily local and so should be the parameters of the filter. Relying on Stein's Unbiased Risk Estimate, we then propose a way to locally set these parameters, and we compare this method with the Non-Local Means with optimal global parameter.

Mots clés: Non-local means; adaptive image denoising; local parameter

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Vincent Duval, Jean-François Aujol, Yann Gousseau. On the parameter choice for the Non-Local Means. 2010. ⟨hal-00468856⟩