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arXiv · 1309.4151

A Non-Local Means Filter for Removing the Poisson Noise

Qiyu Jin·Ion Grama·Quansheng Liu
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Abstract

A new image denoising algorithm to deal with the Poisson noise model is given, which is based on the idea of Non-Local Mean. By using the "Oracle" concept, we establish a theorem to show that the Non-Local Means Filter can effectively deal with Poisson noise with some modification. Under the theoretical result, we construct our new algorithm called Non-Local Means Poisson Filter and demonstrate in theory that the filter converges at the usual optimal rate. The filter is as simple as the classic Non-Local Means and the simulation results show that our filter is very competitive.

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Qiyu Jin, Ion Grama, Quansheng Liu. 2013-09-17. A Non-Local Means Filter for Removing the Poisson Noise. https://arxiv.org/abs/1309.4151

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