Wei, Suhua; Kong, Linghai A combined first and fractional order regularization method for mixed Poisson-White spike noisy image restoration. (English) Zbl 07777222 Inverse Probl. Imaging 18, No. 1, 38-61 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65K10 65R32 49M25 49M41 PDFBibTeX XMLCite \textit{S. Wei} and \textit{L. Kong}, Inverse Probl. Imaging 18, No. 1, 38--61 (2024; Zbl 07777222) Full Text: DOI
Ai, Xiao; Ni, Guoxi; Zeng, Tieyong Color image restoration with mixed Gaussian-Cauchy noise and blur. (English) Zbl 07784398 Comput. Appl. Math. 42, No. 8, Paper No. 347, 17 p. (2023). MSC: 65K10 49M41 90C26 PDFBibTeX XMLCite \textit{X. Ai} et al., Comput. Appl. Math. 42, No. 8, Paper No. 347, 17 p. (2023; Zbl 07784398) Full Text: DOI
Chao, Miantao; Nong, Feifan; Zhao, Meiyu An inertial alternating minimization with Bregman distance for a class of nonconvex and nonsmooth problems. (English) Zbl 1518.90073 J. Appl. Math. Comput. 69, No. 2, 1559-1581 (2023). MSC: 90C26 65K05 49M27 PDFBibTeX XMLCite \textit{M. Chao} et al., J. Appl. Math. Comput. 69, No. 2, 1559--1581 (2023; Zbl 1518.90073) Full Text: DOI
Bai, Lufeng A new approach for Cauchy noise removal. (English) Zbl 1525.49028 AIMS Math. 6, No. 9, 10296-10312 (2021). MSC: 49M20 49N45 65K10 90C90 PDFBibTeX XMLCite \textit{L. Bai}, AIMS Math. 6, No. 9, 10296--10312 (2021; Zbl 1525.49028) Full Text: DOI
Yan, Shaowen; Ni, Guoxi; Zeng, Tieyong Image restoration based on fractional-order model with decomposition: texture and cartoon. (English) Zbl 1499.65250 Comput. Appl. Math. 40, No. 8, Paper No. 304, 25 p. (2021). MSC: 65K10 49M41 PDFBibTeX XMLCite \textit{S. Yan} et al., Comput. Appl. Math. 40, No. 8, Paper No. 304, 25 p. (2021; Zbl 1499.65250) Full Text: DOI
Diepeveen, Willem; Lellmann, Jan An inexact semismooth Newton method on Riemannian manifolds with application to duality-based total variation denoising. (English) Zbl 1477.49042 SIAM J. Imaging Sci. 14, No. 4, 1565-1600 (2021). MSC: 49M15 49M29 49N15 49Q99 90C53 PDFBibTeX XMLCite \textit{W. Diepeveen} and \textit{J. Lellmann}, SIAM J. Imaging Sci. 14, No. 4, 1565--1600 (2021; Zbl 1477.49042) Full Text: DOI arXiv
Ma, Feng; Shu, Jiansheng; Li, Yaxiong; Wu, Jian The dual step size of the alternating direction method can be larger than 1.618 when one function is strongly convex. (English) Zbl 1476.65113 J. Ind. Manag. Optim. 17, No. 3, 1173-1185 (2021). MSC: 65K10 90C25 49M29 90C30 PDFBibTeX XMLCite \textit{F. Ma} et al., J. Ind. Manag. Optim. 17, No. 3, 1173--1185 (2021; Zbl 1476.65113) Full Text: DOI
Chowdhury, Mujibur Rahman; Zhang, Jun; Qin, Jing; Lou, Yifei Poisson image denoising based on fractional-order total variation. (English) Zbl 1455.94013 Inverse Probl. Imaging 14, No. 1, 77-96 (2020). MSC: 94A08 65F22 26A33 49J10 49M25 49N45 PDFBibTeX XMLCite \textit{M. R. Chowdhury} et al., Inverse Probl. Imaging 14, No. 1, 77--96 (2020; Zbl 1455.94013) Full Text: DOI
Lee, Chang-Ock; Park, Jongho A finite element nonoverlapping domain decomposition method with Lagrange multipliers for the dual total variation minimizations. (English) Zbl 1434.65265 J. Sci. Comput. 81, No. 3, 2331-2355 (2019). MSC: 65N30 65N55 65Y05 68U10 94A08 65K10 49M27 PDFBibTeX XMLCite \textit{C.-O. Lee} and \textit{J. Park}, J. Sci. Comput. 81, No. 3, 2331--2355 (2019; Zbl 1434.65265) Full Text: DOI arXiv
Yashtini, Maryam; Kang, Sung Ha; Zhu, Wei Efficient alternating minimization methods for variational edge-weighted colorization models. (English) Zbl 1409.94713 Adv. Comput. Math. 45, No. 3, 1735-1767 (2019). MSC: 94A08 49M05 49K10 90C26 90C48 PDFBibTeX XMLCite \textit{M. Yashtini} et al., Adv. Comput. Math. 45, No. 3, 1735--1767 (2019; Zbl 1409.94713) Full Text: DOI
Wu, Zhongming; Cai, Xingju; Han, Deren Linearized block-wise alternating direction method of multipliers for multiple-block convex programming. (English) Zbl 1412.90117 J. Ind. Manag. Optim. 14, No. 3, 833-855 (2018). MSC: 90C25 65K05 49M27 PDFBibTeX XMLCite \textit{Z. Wu} et al., J. Ind. Manag. Optim. 14, No. 3, 833--855 (2018; Zbl 1412.90117) Full Text: DOI
Herrmann, Marc; Herzog, Roland; Kröner, Heiko; Schmidt, Stephan; Vidal, José Analysis and an interior-point approach for TV image reconstruction problems on smooth surfaces. (English) Zbl 1408.94240 SIAM J. Imaging Sci. 11, No. 2, 889-922 (2018). MSC: 94A08 92C55 68U10 49M29 65K05 PDFBibTeX XMLCite \textit{M. Herrmann} et al., SIAM J. Imaging Sci. 11, No. 2, 889--922 (2018; Zbl 1408.94240) Full Text: DOI
Boyd, Zachary M.; Bae, Egil; Tai, Xue-Cheng; Bertozzi, Andrea L. Simplified energy landscape for modularity using total variation. (English) Zbl 1398.65133 SIAM J. Appl. Math. 78, No. 5, 2439-2464 (2018). MSC: 65K10 49M20 35Q56 62H30 91C20 91D30 94C15 PDFBibTeX XMLCite \textit{Z. M. Boyd} et al., SIAM J. Appl. Math. 78, No. 5, 2439--2464 (2018; Zbl 1398.65133) Full Text: DOI arXiv
Jeong, Taeuk; Jung, Yoon Mo; Yun, Sangwoon Iterative reweighted algorithm for non-convex Poissonian image restoration model. (English) Zbl 1391.90491 J. Korean Math. Soc. 55, No. 3, 719-734 (2018). MSC: 90C26 49M37 PDFBibTeX XMLCite \textit{T. Jeong} et al., J. Korean Math. Soc. 55, No. 3, 719--734 (2018; Zbl 1391.90491) Full Text: Link
Xu, Yangyang Accelerated first-order primal-dual proximal methods for linearly constrained composite convex programming. (English) Zbl 1373.90111 SIAM J. Optim. 27, No. 3, 1459-1484 (2017). MSC: 90C25 90C06 68W40 49M27 PDFBibTeX XMLCite \textit{Y. Xu}, SIAM J. Optim. 27, No. 3, 1459--1484 (2017; Zbl 1373.90111) Full Text: DOI arXiv
Karimi, Sahar; Vavasis, Stephen IMRO: A proximal quasi-Newton method for solving \(\ell_1\)-regularized least squares problems. (English) Zbl 1365.90202 SIAM J. Optim. 27, No. 2, 583-615 (2017). MSC: 90C25 90C30 90C53 90C90 65K05 49M37 49M15 PDFBibTeX XMLCite \textit{S. Karimi} and \textit{S. Vavasis}, SIAM J. Optim. 27, No. 2, 583--615 (2017; Zbl 1365.90202) Full Text: DOI arXiv
Bartels, Sören; Milicevic, Marijo Stability and experimental comparison of prototypical iterative schemes for total variation regularized problems. (English) Zbl 1342.65152 Comput. Methods Appl. Math. 16, No. 3, 361-388 (2016). MSC: 65K15 49M29 PDFBibTeX XMLCite \textit{S. Bartels} and \textit{M. Milicevic}, Comput. Methods Appl. Math. 16, No. 3, 361--388 (2016; Zbl 1342.65152) Full Text: DOI
Yashtini, Maryam; Kang, Sung Ha Alternating direction method of multiplier for Euler’s elastica-based denoising. (English) Zbl 1444.94026 Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 690-701 (2015). MSC: 94A08 49M25 PDFBibTeX XMLCite \textit{M. Yashtini} and \textit{S. H. Kang}, Lect. Notes Comput. Sci. 9087, 690--701 (2015; Zbl 1444.94026) Full Text: DOI
Curtis, Frank E.; Jiang, Hao; Robinson, Daniel P. An adaptive augmented Lagrangian method for large-scale constrained optimization. (English) Zbl 1323.49015 Math. Program. 152, No. 1-2 (A), 201-245 (2015). Reviewer: Bülent Karasözen (Ankara) MSC: 49M05 49M29 49M37 65K05 65K10 90C06 90C30 93B40 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., Math. Program. 152, No. 1--2 (A), 201--245 (2015; Zbl 1323.49015) Full Text: DOI
Lv, Xiao-Guang; Song, Yong-Zhong; Li, Fang An efficient nonconvex regularization for wavelet frame and total variation based image restoration. (English) Zbl 1321.49058 J. Comput. Appl. Math. 290, 553-566 (2015). MSC: 49N45 49M30 65K10 94A08 42C40 42C15 PDFBibTeX XMLCite \textit{X.-G. Lv} et al., J. Comput. Appl. Math. 290, 553--566 (2015; Zbl 1321.49058) Full Text: DOI
Jung, Miyoun; Kang, Myungjoo Efficient nonsmooth nonconvex optimization for image restoration and segmentation. (English) Zbl 1320.65035 J. Sci. Comput. 62, No. 2, 336-370 (2015). MSC: 65D18 94A08 65K10 49J20 49M37 PDFBibTeX XMLCite \textit{M. Jung} and \textit{M. Kang}, J. Sci. Comput. 62, No. 2, 336--370 (2015; Zbl 1320.65035) Full Text: DOI
Schaeffer, Hayden; Yang, Yi; Osher, Stanley Space-time regularization for video decompression. (English) Zbl 1314.49021 SIAM J. Imaging Sci. 8, No. 1, 373-402 (2015). MSC: 49M29 49M30 94A08 68U10 90C46 PDFBibTeX XMLCite \textit{H. Schaeffer} et al., SIAM J. Imaging Sci. 8, No. 1, 373--402 (2015; Zbl 1314.49021) Full Text: DOI Link
Li, Wen-Ping; Wang, Zheng-Ming; Zhang, Tao; Bai, Bao-Cun; Ding, Yong-He; Deng, Ya Vectorial additive half-quadratic minimization for isotropic regularization. (English) Zbl 1329.49053 J. Comput. Appl. Math. 281, 152-168 (2015). MSC: 49M30 49N90 65K10 94A08 PDFBibTeX XMLCite \textit{W.-P. Li} et al., J. Comput. Appl. Math. 281, 152--168 (2015; Zbl 1329.49053) Full Text: DOI
Bai, Zheng-Jian; Cassani, Daniele; Donatelli, Marco; Serra-Capizzano, Stefano A fast alternating minimization algorithm for total variation deblurring without boundary artifacts. (English) Zbl 1308.94010 J. Math. Anal. Appl. 415, No. 1, 373-393 (2014). MSC: 94A08 49M15 PDFBibTeX XMLCite \textit{Z.-J. Bai} et al., J. Math. Anal. Appl. 415, No. 1, 373--393 (2014; Zbl 1308.94010) Full Text: DOI arXiv
Shen, Yuan; Zhang, Wenxing; He, Bingsheng Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints. (English) Zbl 1292.65065 J. Ind. Manag. Optim. 10, No. 3, 743-759 (2014). MSC: 65K05 90C25 49M29 90C30 PDFBibTeX XMLCite \textit{Y. Shen} et al., J. Ind. Manag. Optim. 10, No. 3, 743--759 (2014; Zbl 1292.65065) Full Text: DOI
Liu, Jun; Leung, Shingyu A splitting algorithm for image segmentation on manifolds represented by the grid based particle method. (English) Zbl 1275.65033 J. Sci. Comput. 56, No. 2, 243-266 (2013). MSC: 65K10 49J20 49M27 PDFBibTeX XMLCite \textit{J. Liu} and \textit{S. Leung}, J. Sci. Comput. 56, No. 2, 243--266 (2013; Zbl 1275.65033) Full Text: DOI
Wen, Zaiwen; Yin, Wotao; Goldfarb, Donald; Zhang, Yin A fast algorithm for sparse reconstruction based on shrinkage, subspace optimization, and continuation. (English) Zbl 1215.49039 SIAM J. Sci. Comput. 32, No. 4, 1832-1857 (2010). MSC: 49M30 65K05 90C25 90C06 PDFBibTeX XMLCite \textit{Z. Wen} et al., SIAM J. Sci. Comput. 32, No. 4, 1832--1857 (2010; Zbl 1215.49039) Full Text: DOI Link