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<p>In this paper, a new splitting algorithms (i.e., noise estimation methods (NEM)) for multiplicative noise removal is proposed. By introducing a noise constraint with auxiliary variables, which guarantees the subproblem of the corresponding noise variable has a closed form solution. Further, we extended NEM to have a fully split form (NEMF). Specifically, add a proximal term to the subproblem of the original variable, which can improve the computational efficiency. Numerical experiments have proved that the proposed methods outperforms some state-of-the-art models in terms of the SNR.</p>

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A noise estimation method for multiplicative noise removal

  • 期刊论文

  • 发表日期：

    2025年1月8日

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  • Bao Chen,
  • Yuchao Tang,
  • Xiaohua Ding

摘要

In this paper, a new splitting algorithms (i.e., noise estimation methods (NEM)) for multiplicative noise removal is proposed. By introducing a noise constraint with auxiliary variables, which guarantees the subproblem of the corresponding noise variable has a closed form solution. Further, we extended NEM to have a fully split form (NEMF). Specifically, add a proximal term to the subproblem of the original variable, which can improve the computational efficiency. Numerical experiments have proved that the proposed methods outperforms some state-of-the-art models in terms of the SNR.