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Sparsity regularized image Laplace denosing based on Peaceman Rachford operator splitting algorithm
稀疏性正则化的图像Laplace去噪及PR算子分裂算法*

Keywords: sparse representation,image denoising,Laplace noise,Peaceman-Rachford operator splitting
稀疏表示
,图像去噪,拉普拉斯噪声,PR算子分裂算法

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Abstract:

Adopting Bayesian-MAP estimation framework,this paper proposed a sparsity regularized non-smooth convex functional model to denosie Laplace noisy image.The L1 norm was used for data fidelity term and non-smooth regularization term constrains the sparse representation of the underlying image over the overcomplete dictionary.Inspired form the Peaceman-Rachford operator splitting method,proposed a multi-step fast iterative algorithm to solve the non-smooth model above numerically.By introducing the proximal op...

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