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A Nonmonotone Gradient Algorithm for Total Variation Image Denoising Problems

机译：总变异图像去噪问题的非单调梯度算法

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摘要

Thetotal variation (TV) model has been studied extensively because it is able to preserve sharp attributes and capture some sparsely critical information in images. However, TV denoising problem is usually ill-conditioned that the classical monotone projected gradient method cannot solve the problem efficiently. Therefore, a new strategy based on nonmonotone approach is digged out as accelerated spectral project gradient (ASPG) for solving TV. Furthermore, traditional TV is handled by vectorizing, which makes the scheme far more complicated for designing algorithms. In order to simplify the computing process, a new technique is developed in view of matrix rather than traditional vector. Numerical results proved that our ASPG algorithm is better than some state-of-the-art algorithms in both accuracy and convergence speed.
机译：总变异（TV）模型已经得到了广泛的研究，因为它能够保留清晰的属性并捕获图像中一些稀疏的关键信息。然而，电视降噪问题通常是条件恶劣的，因为经典的单调投影梯度法不能有效地解决该问题。因此，挖掘出一种基于非单调方法的新策略作为解决电视问题的加速频谱投影梯度（ASPG）。此外，传统电视是通过矢量化处理的，这使得该方案的算法设计变得更加复杂。为了简化计算过程，针对矩阵而不是传统矢量开发了一种新技术。数值结果证明，我们的ASPG算法在准确性和收敛速度上均优于某些最新算法。

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  • 来源
    《Mathematical Problems in Engineering》 |2016年第9期|4310612.1-4310612.9|共9页
  • 作者

    Wang Peng; Yuan Shifang; Xie Xiangyun; Xiong Shengwu;

  • 作者单位

    Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Peoples R China|Wuhan Univ Technol, Sch Comp Sci & Technol, Wuhan 430070, Peoples R China;

    Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Peoples R China;

    Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Peoples R China;

    Wuhan Univ Technol, Sch Comp Sci & Technol, Wuhan 430070, Peoples R China;

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