English

A Non-Local Means Filter for Removing the Poisson Noise

Applications 2013-09-18 v1 Computer Vision and Pattern Recognition

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.

Keywords

Cite

@article{arxiv.1309.4151,
  title  = {A Non-Local Means Filter for Removing the Poisson Noise},
  author = {Qiyu Jin and Ion Grama and Quansheng Liu},
  journal= {arXiv preprint arXiv:1309.4151},
  year   = {2013}
}

Comments

24pages,6figures. arXiv admin note: text overlap with arXiv:1211.6143, arXiv:1201.5968