2013
DOI: 10.1016/j.neucom.2013.06.027
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A sparse proximal Newton splitting method for constrained image deblurring

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Cited by 14 publications
(5 citation statements)
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“…Proximal methods are a type of forward-backward splitting approach, which alternates between computing a gradient step on the data fidelity term and a solution to a proximal problem involving the regularization (Parikh et al, 2014;Combettes and Pesquet, 2011;Beck and Teboulle, 2009b). Moreover, the proximal gradient methods can also be accelerated by utilizing momentum information from past gradients or by deploying second order information to solve the proximal problem (Becker and Fadili, 2012;Beck and Teboulle, 2009b;Beck and Teboulle, 2009a;Pan et al, 2013;Nesterov et al, 2007;Lee et al, 2012;Stella et al, 2017). Examples of PACT images of a live mouse reconstructed by use of two different reconstruction methods are displayed in Fig.…”
Section: Penalized Least Squares Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Proximal methods are a type of forward-backward splitting approach, which alternates between computing a gradient step on the data fidelity term and a solution to a proximal problem involving the regularization (Parikh et al, 2014;Combettes and Pesquet, 2011;Beck and Teboulle, 2009b). Moreover, the proximal gradient methods can also be accelerated by utilizing momentum information from past gradients or by deploying second order information to solve the proximal problem (Becker and Fadili, 2012;Beck and Teboulle, 2009b;Beck and Teboulle, 2009a;Pan et al, 2013;Nesterov et al, 2007;Lee et al, 2012;Stella et al, 2017). Examples of PACT images of a live mouse reconstructed by use of two different reconstruction methods are displayed in Fig.…”
Section: Penalized Least Squares Methodsmentioning
confidence: 99%
“…Teboulle 2009b, Combettes and Pesquet 2011, Parikh et al 2014. Moreover, the proximal gradient methods can also be accelerated by utilizing momentum information from past gradients or by deploying second order information to solve the proximal problem(Nesterov et al 2013, Beck and Teboulle 2009a, 2009b, Becker and Fadili 2012, Lee et al 2012, Pan et al 2013, Stella et al 2017.Examples of PACT images of a live mouse reconstructed by use of two different reconstruction methods are displayed in figure…”
mentioning
confidence: 99%
“…Its purpose is to restore potentially tidy image from blurry image, which is a morbid inverse problem. Many scholars have improved the image quality by regarding blur and potential sharp image as prior information (Liu et al, 2018; Wang et al, 2011), including regularization intensity prior (Dong et al, 2011; Tang et al, 2019), total variation (TV) (Jidesh and Banothu, 2017; Osher et al, 2005), mathematically driven discriminate prior (Li et al, 2018), sparse image prior (Pan et al, 2013), and so forth. Although these improve the image quality, estimated blur kernel may cause image visual artifacts.…”
Section: Related Workmentioning
confidence: 99%
“…The motivation of the proposed method is to handle the practical limitations in [19] [27] [35] e.g., the inaccuracy estimate of the sub-problem and the dimension limitation. Accordingly, the framework of the generalized proximal conjugate gradient(GPCG) is proposed.…”
Section: B the Contributionsmentioning
confidence: 99%