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A primal-dual method with linear mapping for a saddle point problem in image deblurring

机译:图像去模糊中鞍点问题的线性对偶原始方法

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In this paper, a simple primal-dual method named PDL is proposed for a convex concave saddle problem and applied to total variational image deblurring. Introduction of linear mapping on proximal term relaxes convergence requirement on pairwise primal-dual stepsize. Simple proof is presented for 0(1/N) convergence rate in ergodic sense. Experiments show that performance of PDL is comparable with proximal PDHG (Zhu et al., 2010; Bonettini and Ruggiero, 2012) and PDCP (Chambolle and Pock, 2011) on Gaussian or Salt-Pepper noisy image deblurring. (C) 2016 Elsevier Inc. All rights reserved.
机译:本文针对凸凹鞍问题提出了一种称为PDL的简单对偶方法,并将其应用于总变分图像去模糊。在近端项上引入线性映射可放宽对成对的原对偶步长的收敛要求。在遍历意义上给出了0(1 / N)收敛速度的简单证明。实验表明,在高斯或Salt-Pepper噪声图像去模糊方面,PDL的性能可与近端PDHG(Zhu等,2010; Bonettini和Ruggiero,2012)和PDCP(Chambolle和Pock,2011)相媲美。 (C)2016 Elsevier Inc.保留所有权利。

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