Arjas, Arttu; Sillanpää, Mikko J.; Hauptmann, Andreas S. Sequential model correction for nonlinear inverse problems. (English) Zbl 07784235 SIAM J. Imaging Sci. 16, No. 4, 2015-2039 (2023). MSC: 65K10 65F20 94A08 47H10 47A52 PDFBibTeX XMLCite \textit{A. Arjas} et al., SIAM J. Imaging Sci. 16, No. 4, 2015--2039 (2023; Zbl 07784235) Full Text: DOI arXiv
Chouzenoux, Emilie; Contreras, Andrés; Pesquet, Jean-Christophe; Savanier, Marion Convergence results for primal-dual algorithms in the presence of adjoint mismatch. (English) Zbl 1517.65055 SIAM J. Imaging Sci. 16, No. 1, 1-34 (2023). MSC: 65K10 62H35 94A08 90C25 47H05 PDFBibTeX XMLCite \textit{E. Chouzenoux} et al., SIAM J. Imaging Sci. 16, No. 1, 1--34 (2023; Zbl 1517.65055) Full Text: DOI
Wattanataweekul, Rattanakorn; Janngam, Kobkoon An accelerated common fixed point algorithm for a countable family of \(G\)-nonexpansive mappings with applications to image recovery. (English) Zbl 1511.47087 J. Inequal. Appl. 2022, Paper No. 68, 15 p. (2022). MSC: 47J26 47H09 94A08 PDFBibTeX XMLCite \textit{R. Wattanataweekul} and \textit{K. Janngam}, J. Inequal. Appl. 2022, Paper No. 68, 15 p. (2022; Zbl 1511.47087) Full Text: DOI
Hanjing, Adisak; Suantai, Suthep An inertial alternating projection algorithm for convex minimization problems with applications to signal recovery problems. (English) Zbl 1487.47124 J. Nonlinear Convex Anal. 22, No. 12, 2647-2660 (2021). MSC: 47J26 47H09 90C25 94A12 PDFBibTeX XMLCite \textit{A. Hanjing} and \textit{S. Suantai}, J. Nonlinear Convex Anal. 22, No. 12, 2647--2660 (2021; Zbl 1487.47124) Full Text: Link
Zhu, Ya-Nan; Zhang, Xiaoqun A stochastic variance reduced primal dual fixed point method for linearly constrained separable optimization. (English) Zbl 1474.65042 SIAM J. Imaging Sci. 14, No. 3, 1326-1353 (2021). MSC: 65D18 65K10 90C25 94A08 PDFBibTeX XMLCite \textit{Y.-N. Zhu} and \textit{X. Zhang}, SIAM J. Imaging Sci. 14, No. 3, 1326--1353 (2021; Zbl 1474.65042) Full Text: DOI arXiv
Chouzenoux, Emilie; Pesquet, Jean-Christophe; Riddell, Cyril; Savanier, Marion; Trousset, Yves Convergence of proximal gradient algorithm in the presence of adjoint mismatch. (English) Zbl 1466.94004 Inverse Probl. 37, No. 6, Article ID 065009, 29 p. (2021). MSC: 94A08 92C55 65K10 90C25 68U10 49J40 PDFBibTeX XMLCite \textit{E. Chouzenoux} et al., Inverse Probl. 37, No. 6, Article ID 065009, 29 p. (2021; Zbl 1466.94004) Full Text: DOI
Shi, Yuying; Huo, Zhimei; Qin, Jing; Li, Yilin Automatic prior shape selection for image edge detection with modified Mumford-Shah model. (English) Zbl 1460.94013 Comput. Math. Appl. 79, No. 6, 1644-1660 (2020). Reviewer: Oscar Bustos (Córdoba) MSC: 94A08 94A13 65K10 68U10 PDFBibTeX XMLCite \textit{Y. Shi} et al., Comput. Math. Appl. 79, No. 6, 1644--1660 (2020; Zbl 1460.94013) Full Text: DOI
Gao, Tianling; Wang, Xiaofei; Liu, Qiang; Zhang, Zhiguang A fixed-point algorithm for second-order total variation models in image denoising. (English) Zbl 1449.94008 Comput. Appl. Math. 38, No. 1, Paper No. 8, 14 p. (2019). MSC: 94A08 65K10 PDFBibTeX XMLCite \textit{T. Gao} et al., Comput. Appl. Math. 38, No. 1, Paper No. 8, 14 p. (2019; Zbl 1449.94008) Full Text: DOI
Chen, Peijun; Huang, Jianguo; Zhang, Xiaoqun A primal-dual fixed point algorithm for multi-block convex minimization. (English) Zbl 1399.65138 J. Comput. Math. 34, No. 6, 723-738 (2016). MSC: 65K10 90C06 90C25 94A08 94A12 PDFBibTeX XMLCite \textit{P. Chen} et al., J. Comput. Math. 34, No. 6, 723--738 (2016; Zbl 1399.65138) Full Text: DOI arXiv
Aspelmeier, Timo; Charitha, C.; Luke, D. Russell Local linear convergence of the ADMM/Douglas-Rachford algorithms without strong convexity and application to statistical imaging. (English) Zbl 1347.49046 SIAM J. Imaging Sci. 9, No. 2, 842-868 (2016). Reviewer: Guy Jumarie (Montréal) MSC: 49M20 49J52 90C25 65K05 65K10 49N45 94A08 47H09 15A29 PDFBibTeX XMLCite \textit{T. Aspelmeier} et al., SIAM J. Imaging Sci. 9, No. 2, 842--868 (2016; Zbl 1347.49046) Full Text: DOI arXiv
Sun, Li; Chen, Ke A new iterative algorithm for mean curvature-based variational image denoising. (English) Zbl 1342.94030 BIT 54, No. 2, 523-553 (2014). MSC: 94A08 65F10 65K10 68U10 PDFBibTeX XMLCite \textit{L. Sun} and \textit{K. Chen}, BIT 54, No. 2, 523--553 (2014; Zbl 1342.94030) Full Text: DOI
Krol, Andrzej; Li, Si; Shen, Lixin; Xu, Yuesheng Preconditioned alternating projection algorithms for maximum a posteriori ECT reconstruction. (English) Zbl 1270.94018 Inverse Probl. 28, No. 11, Article ID 115005, 34 p. (2012). MSC: 94A08 65J22 65K10 PDFBibTeX XMLCite \textit{A. Krol} et al., Inverse Probl. 28, No. 11, Article ID 115005, 34 p. (2012; Zbl 1270.94018) Full Text: DOI
Melara, L. A.; Kearsley, A. J. The radius of attraction for Newton’s method and TV-minimization image denoising. (English) Zbl 1252.65107 Appl. Math. Lett. 25, No. 12, 2417-2422 (2012). MSC: 65K10 94A08 49M15 49J20 PDFBibTeX XMLCite \textit{L. A. Melara} and \textit{A. J. Kearsley}, Appl. Math. Lett. 25, No. 12, 2417--2422 (2012; Zbl 1252.65107) Full Text: DOI
Wu, Ting-Ting; Yang, Yu-Fei; Pang, Zhi-Feng A modified fixed-point iterative algorithm for image restoration using fourth-order PDE model. (English) Zbl 1239.94013 Appl. Numer. Math. 62, No. 2, 79-90 (2012). MSC: 94A08 65D18 65K10 PDFBibTeX XMLCite \textit{T.-T. Wu} et al., Appl. Numer. Math. 62, No. 2, 79--90 (2012; Zbl 1239.94013) Full Text: DOI
Shi, Yuying; Chang, Qianshun; Xu, Jing Convergence of fixed point iteration for deblurring and denoising problem. (English) Zbl 1131.65057 Appl. Math. Comput. 189, No. 2, 1178-1185 (2007). Reviewer: Werner H. Schmidt (Greifswald) MSC: 65K10 94A08 49J15 49M25 PDFBibTeX XMLCite \textit{Y. Shi} et al., Appl. Math. Comput. 189, No. 2, 1178--1185 (2007; Zbl 1131.65057) Full Text: DOI
Yang, Qingzhi; Zhao, Jinling Generalized KM theorems and their applications. (English) Zbl 1117.65081 Inverse Probl. 22, No. 3, 833-844 (2006). Reviewer: Ya-Ping Fang (Chengdu) MSC: 65J15 47J25 94A12 65K10 49J40 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{J. Zhao}, Inverse Probl. 22, No. 3, 833--844 (2006; Zbl 1117.65081) Full Text: DOI
Chang, Qianshun; Chern, I-Liang Acceleration methods for total variation-based image denoising. (English) Zbl 1046.65048 SIAM J. Sci. Comput. 25, No. 3, 982-994 (2003). MSC: 65K10 49J20 94A08 49M30 PDFBibTeX XMLCite \textit{Q. Chang} and \textit{I-L. Chern}, SIAM J. Sci. Comput. 25, No. 3, 982--994 (2003; Zbl 1046.65048) Full Text: DOI