An aggregator point of view on NL-Means

Joseph Salmon, Erwan Le Pennec · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2009

Patch based methods give some of the best denoising results. Their theoretical performances are still unexplained mathematically. We propose a novel insight of NL-Means based on an aggregation point of view. More precisely, we describe the framework of PAC-Bayesian aggregation, show how it allows to derive some new patch based methods and to characterize their theoretical performances, and present some numerical experiments.

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