Non-stationary Structure-Preserving Preconditioning for Image Restoration
Non-stationary Structure-Preserving Preconditioning for Image Restoration
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DOI：
10.1007/978-3-030-32882-5_3
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发表时间：
2019-11
期刊：
影响因子：
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通讯作者：
Pietro Dell'Acqua;M. Donatelli;L. Reichel
中科院分区：
文献类型：
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作者：
Pietro Dell'Acqua;M. Donatelli;L. Reichel
非平稳正则化预条件最近被提出用于加速求解线性离散不适定问题的经典迭代方法。本文探讨了如何将这些预条件子与灵活的GMRES迭代方法相结合。提出了一种新的结构尊重策略来构造正则化预条件子序列。我们表明，灵活的GMRES应用这些预处理器是能够恢复已被严重非对称模糊污染的图像，而其他几种迭代方法无法做到这一点。
Non-stationary regularizing preconditioners have recently been proposed for the acceleration of classical iterative methods for the solution of linear discrete ill-posed problems. This paper explores how these preconditioners can be combined with the flexible GMRES iterative method. A new structure-respecting strategy to construct a sequence of regularizing preconditioners is proposed. We show that flexible GMRES applied with these preconditioners is able to restore images that have been contaminated by strongly non-symmetric blur, while several other iterative methods fail to do this.