A Bias-Variance Approach for the Nonlocal Means

作者：Duval Vincent^*; Aujol Jean Francois; Gousseau Yann

来源：SIAM Journal on Imaging Sciences, 2011, 4(2): 760-788.

DOI：10.1137/100790902

• nonlocal means
• local bandwidth
• Stein's unbiased risk estimate
• bias-variance

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.

• 出版日期2011