2-D Impulse Noise Suppression by Recursive Gaussian Maximum Likelihood Estimation

Yang Chen, Jian Yang, Huazhong Shu, Luyao Shi, Jiasong Wu, Limin Luo, Jean-Louis Coatrieux, Christine Toumoulin
Laboratory of Image Science and Technology, Southeast University, Nanjing, China
PLoS ONE 9(5): e96386, 2014


   title={2-D Impulse Noise Suppression by Recursive Gaussian Maximum Likelihood Estimation},

   author={Chen, Yang and Yang, Jian and Shu, Huazhong and Shi, Luyao and Wu, Jiasong and Luo, Limin and Coatrieux, Jean-Louis and Toumoulin, Christine},

   journal={PLOS ONE},





   publisher={Public Library of Science}


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An effective approach termed Recursive Gaussian Maximum Likelihood Estimation (RGMLE) is developed in this paper to suppress 2-D impulse noise. And two algorithms termed RGMLE-C and RGMLE-CS are derived by using spatially-adaptive variances, which are respectively estimated based on certainty and joint certainty & similarity information. To give reliable implementation of RGMLE-C and RGMLE-CS algorithms, a novel recursion stopping strategy is proposed by evaluating the estimation error of uncorrupted pixels. Numerical experiments on different noise densities show that the proposed two algorithms can lead to significantly better results than some typical median type filters. Efficient implementation is also realized via GPU (Graphic Processing Unit)-based parallelization techniques.
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