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arXiv · 1211.6143

Convergence Theorems for the Non-Local Means Filter

Qiyu Jin·Ion Grama·Quansheng Liu
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Abstract

In this paper, we establish convergence theorems for the Non-Local Means Filter in removing the additive Gaussian noise. We employ the techniques of "Oracle" estimation to determine the order of the widths of the similarity patches and search windows in the aforementioned filter. We propose a practical choice of these parameters which improve the restoration quality of the filter compared with the usual choice of parameters.

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Qiyu Jin, Ion Grama, Quansheng Liu. 2012-11-26. Convergence Theorems for the Non-Local Means Filter. https://arxiv.org/abs/1211.6143

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