Zhang, Zhenwei; Li, Xue; Duan, Yuping; Yin, Ke; Tai, Xue-Cheng An efficient multi-grid method for TV minimization problems. (English) Zbl 07394001 Inverse Probl. Imaging 15, No. 5, 1199-1221 (2021). MSC: 65K10 68U10 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Inverse Probl. Imaging 15, No. 5, 1199--1221 (2021; Zbl 07394001) Full Text: DOI
Altuntac, Erdem Choice of the parameters in a primal-dual algorithm for Bregman iterated variational regularization. (English) Zbl 1459.65090 Numer. Algorithms 86, No. 2, 729-759 (2021). MSC: 65K10 49N45 49N60 PDFBibTeX XMLCite \textit{E. Altuntac}, Numer. Algorithms 86, No. 2, 729--759 (2021; Zbl 1459.65090) Full Text: DOI arXiv
Liu, XiaoGuang; Gao, XingBao Total variation image restoration method based on subspace optimization. (English) Zbl 1427.94023 Math. Probl. Eng. 2018, Article ID 6921742, 12 p. (2018). MSC: 94A08 65K10 68U10 PDFBibTeX XMLCite \textit{X. Liu} and \textit{X. Gao}, Math. Probl. Eng. 2018, Article ID 6921742, 12 p. (2018; Zbl 1427.94023) Full Text: DOI
Deng, Hong; Ren, Dongwei; Xiao, Gang; Zhang, David; Zuo, Wangmeng A coordinate descent method for total variation minimization. (English) Zbl 1426.94014 Math. Probl. Eng. 2017, Article ID 3012910, 13 p. (2017). MSC: 94A08 PDFBibTeX XMLCite \textit{H. Deng} et al., Math. Probl. Eng. 2017, Article ID 3012910, 13 p. (2017; Zbl 1426.94014) Full Text: DOI
Jumaat, Abdul K.; Chen, Ke An optimization-based multilevel algorithm for variational image segmentation models. (English) Zbl 1384.62207 ETNA, Electron. Trans. Numer. Anal. 46, 474-504 (2017). MSC: 62H35 65N22 65N55 94A08 PDFBibTeX XMLCite \textit{A. K. Jumaat} and \textit{K. Chen}, ETNA, Electron. Trans. Numer. Anal. 46, 474--504 (2017; Zbl 1384.62207) Full Text: Link
Yang, Qi; Chen, Dali; Zhao, Tiebiao; Chen, YangQuan Fractional calculus in image processing: a review. (English) Zbl 1499.94016 Fract. Calc. Appl. Anal. 19, No. 5, 1222-1249 (2016). MSC: 94A08 26A33 34A08 35R11 68U10 PDFBibTeX XMLCite \textit{Q. Yang} et al., Fract. Calc. Appl. Anal. 19, No. 5, 1222--1249 (2016; Zbl 1499.94016) Full Text: DOI arXiv
Liao, Fan; Coatrieux, Jean Louis; Wu, Jiasong; Shu, Huazhong A new fast algorithm for constrained four-directional total variation image denoising problem. (English) Zbl 1395.94047 Math. Probl. Eng. 2015, Article ID 815132, 11 p. (2015). MSC: 94A08 PDFBibTeX XMLCite \textit{F. Liao} et al., Math. Probl. Eng. 2015, Article ID 815132, 11 p. (2015; Zbl 1395.94047) Full Text: DOI
Jewprasert, Sopida; Chumchob, Noppadol; Chantrapornchai, Chantana A fourth-order compact finite difference scheme for higher-order PDE-based image registration. (English) Zbl 1481.65133 East Asian J. Appl. Math. 5, No. 4, 361-386 (2015). MSC: 65M06 65M22 68U10 94A08 PDFBibTeX XMLCite \textit{S. Jewprasert} et al., East Asian J. Appl. Math. 5, No. 4, 361--386 (2015; Zbl 1481.65133) Full Text: DOI
Frandi, Emanuele; Papini, Alessandra Improving direct search algorithms by multilevel optimization techniques. (English) Zbl 1328.90136 Optim. Methods Softw. 30, No. 5, 1077-1094 (2015). MSC: 90C30 90C56 65N55 PDFBibTeX XMLCite \textit{E. Frandi} and \textit{A. Papini}, Optim. Methods Softw. 30, No. 5, 1077--1094 (2015; Zbl 1328.90136) Full Text: DOI
Wang, Si; Huang, Ting-Zhu; Liu, Jun; Lv, Xiao-Guang An alternating iterative algorithm for image deblurring and denoising problems. (English) Zbl 1470.94023 Commun. Nonlinear Sci. Numer. Simul. 19, No. 3, 617-626 (2014). MSC: 94A08 PDFBibTeX XMLCite \textit{S. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 3, 617--626 (2014; Zbl 1470.94023) Full Text: DOI
Frandi, Emanuele; Papini, Alessandra Coordinate search algorithms in multilevel optimization. (English) Zbl 1305.90382 Optim. Methods Softw. 29, No. 5, 1020-1041 (2014). MSC: 90C30 90C56 65N55 PDFBibTeX XMLCite \textit{E. Frandi} and \textit{A. Papini}, Optim. Methods Softw. 29, No. 5, 1020--1041 (2014; Zbl 1305.90382) Full Text: DOI
Chen, K.; Loli Piccolomini, E.; Zama, F. An automatic regularization parameter selection algorithm in the total variation model for image deblurring. (English) Zbl 1296.68183 Numer. Algorithms 67, No. 1, 73-92 (2014). MSC: 68U10 65N22 65N55 49N70 49N75 62H35 PDFBibTeX XMLCite \textit{K. Chen} et al., Numer. Algorithms 67, No. 1, 73--92 (2014; Zbl 1296.68183) Full Text: DOI
Chumchob, Noppadol; Chen, Ke; Brito-Loeza, Carlos A new variational model for removal of combined additive and multiplicative noise and a fast algorithm for its numerical approximation. (English) Zbl 1278.68330 Int. J. Comput. Math. 90, No. 1, 140-161 (2013). MSC: 68U10 65F22 65K10 65F10 65N55 PDFBibTeX XMLCite \textit{N. Chumchob} et al., Int. J. Comput. Math. 90, No. 1, 140--161 (2013; Zbl 1278.68330) Full Text: DOI
Xiao, Yun-Hai; Song, Hui-Na An inexact alternating directions algorithm for constrained total variation regularized compressive sensing problems. (English) Zbl 1255.94030 J. Math. Imaging Vis. 44, No. 2, 114-127 (2012). MSC: 94A08 49Q20 90C25 92C55 PDFBibTeX XMLCite \textit{Y.-H. Xiao} and \textit{H.-N. Song}, J. Math. Imaging Vis. 44, No. 2, 114--127 (2012; Zbl 1255.94030) Full Text: DOI
Chumchob, Noppadol; Chen, Ke Improved variational image registration model and a fast algorithm for its numerical approximation. (English) Zbl 1250.65032 Numer. Methods Partial Differ. Equations 28, No. 6, 1966-1995 (2012). MSC: 65D18 PDFBibTeX XMLCite \textit{N. Chumchob} and \textit{K. Chen}, Numer. Methods Partial Differ. Equations 28, No. 6, 1966--1995 (2012; Zbl 1250.65032) Full Text: DOI
Abad, J. O.; Morigi, S.; Reichel, L.; Sgallari, F. Alternating Krylov subspace image restoration methods. (English) Zbl 1251.65091 J. Comput. Appl. Math. 236, No. 8, 2049-2062 (2012). Reviewer: Werner H. Schmidt (Greifswald) MSC: 65K10 65J20 65R30 49J21 65D18 94A08 49M25 PDFBibTeX XMLCite \textit{J. O. Abad} et al., J. Comput. Appl. Math. 236, No. 8, 2049--2062 (2012; Zbl 1251.65091) 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
Chumchob, Noppadol; Chen, Ke A robust multigrid approach for variational image registration models. (English) Zbl 1236.94018 J. Comput. Appl. Math. 236, No. 5, 653-674 (2011). MSC: 94A08 65F10 65M55 68U10 PDFBibTeX XMLCite \textit{N. Chumchob} and \textit{K. Chen}, J. Comput. Appl. Math. 236, No. 5, 653--674 (2011; Zbl 1236.94018) Full Text: DOI
Xiao, Yu; Zeng, Tieyong; Yu, Jian; Ng, Michael K. Restoration of images corrupted by mixed Gaussian-impulse noise via \(l_{1}-l_{0}\) minimization. (English) Zbl 1218.68191 Pattern Recognition 44, No. 8, 1708-1720 (2011). MSC: 68U10 PDFBibTeX XMLCite \textit{Y. Xiao} et al., Pattern Recognition 44, No. 8, 1708--1720 (2011; Zbl 1218.68191) Full Text: DOI
Xu, Jing; Chang, Qian-Shun New time dependent pretreat models based on total variational image restoration. (English) Zbl 1207.68431 Acta Math. Appl. Sin., Engl. Ser. 27, No. 1, 129-140 (2011). MSC: 68U10 65K15 PDFBibTeX XMLCite \textit{J. Xu} and \textit{Q.-S. Chang}, Acta Math. Appl. Sin., Engl. Ser. 27, No. 1, 129--140 (2011; Zbl 1207.68431) Full Text: DOI
Nikolova, Mila Semi-explicit solution and fast minimization scheme for an energy with \(\ell _{1}\)-fitting and Tikhonov-like regularization. (English) Zbl 1490.94023 J. Math. Imaging Vis. 34, No. 1, 32-47 (2009). MSC: 94A08 PDFBibTeX XMLCite \textit{M. Nikolova}, J. Math. Imaging Vis. 34, No. 1, 32--47 (2009; Zbl 1490.94023) Full Text: DOI
Chan, Raymond H.; Chen, Ke Multilevel algorithm for a Poisson noise removal model with total-variation regularization. (English) Zbl 1124.65057 Int. J. Comput. Math. 84, No. 8, 1183-1198 (2007). MSC: 65K10 49J20 49M25 94A08 PDFBibTeX XMLCite \textit{R. H. Chan} and \textit{K. Chen}, Int. J. Comput. Math. 84, No. 8, 1183--1198 (2007; Zbl 1124.65057) Full Text: DOI
Chen, Ke; Savage, Joseph An accelerated algebraic multigrid algorithm for total-variation denoising. (English) Zbl 1120.65078 BIT 47, No. 2, 277-296 (2007). MSC: 65K10 49J20 49M27 94A08 PDFBibTeX XMLCite \textit{K. Chen} and \textit{J. Savage}, BIT 47, No. 2, 277--296 (2007; Zbl 1120.65078) Full Text: DOI
Chui, Charles K.; Wang, Jianzhong Wavelet-based minimal-energy approach to image restoration. (English) Zbl 1118.68175 Appl. Comput. Harmon. Anal. 23, No. 1, 114-130 (2007). Reviewer: Agnieszka Lisowska (Sosnowiec) MSC: 68U10 94A08 65T60 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J. Wang}, Appl. Comput. Harmon. Anal. 23, No. 1, 114--130 (2007; Zbl 1118.68175) Full Text: DOI