EPFL | Biomedical Imaging Group

SURE-Based Non-Local Means

D. Van De Ville, M. Kocher

IEEE Signal Processing Letters, vol. 16, no. 11, pp. 973–976, November 2009.

Non-local means (NLM) provides a powerful framework for denoising. However, there are a few parameters of the algorithm—most notably, the width of the smoothing kernel—that are data-dependent and difficult to tune. Here, we propose to use Stein's unbiased risk estimate (SURE) to monitor the MSE of the NLM algorithm for restoration of an image corrupted by additive white Gaussian noise. The SURE principle allows to assess the MSE without knowledge of the noise-free signal. We derive an explicit analytical expression for SURE in the setting of NLM that can be incorporated in the implementation at low computational cost. Finally, we present experimental results that confirm the optimality of the proposed parameter selection.

@ARTICLE(http://bigwww.epfl.ch/publications/vandeville0901.html,
AUTHOR="Van De Ville, D. and Kocher, M.",
TITLE="{SURE}-Based Non-Local Means",
JOURNAL="{IEEE} Signal Processing Letters",
YEAR="2009",
volume="16",
number="11",
pages="973--976",
month="November",
note="")

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