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math.ST2011
Anisotropic Nonlocal Means Denoising
Arian Maleki, Manjari Narayan, Richard G. Baraniuk
It has recently been proved that the popular nonlocal means (NLM) denoising algorithm does not optimally denoise images with sharp edges. Its weakness lies in the isotropic nature…
math.ST2011
Suboptimality of Nonlocal Means for Images with Sharp Edges
Arian Maleki, Manjari Narayan, Richard G. Baraniuk
We conduct an asymptotic risk analysis of the nonlocal means image denoising algorithm for the Horizon class of images that are piecewise constant with a sharp edge discontinuity.…