Chen, Xiaotong; Herring, James L.; Nagy, James G.; Xi, Yuanzhe; Yu, Bo An ADMM-LAP method for total variation myopic deconvolution of adaptive optics retinal images. (English) Zbl 07305932 Inverse Probl. 37, No. 1, Article ID 014001, 28 p. (2021). MSC: 94A 68U 65F PDF BibTeX XML Cite \textit{X. Chen} et al., Inverse Probl. 37, No. 1, Article ID 014001, 28 p. (2021; Zbl 07305932) Full Text: DOI
Bonettini, Silvia; Porta, Federica; Ruggiero, Valeria; Zanni, Luca Variable metric techniques for forward-backward methods in imaging. (English) Zbl 07305117 J. Comput. Appl. Math. 385, Article ID 113192, 30 p. (2021). MSC: 65K05 90C06 90C90 PDF BibTeX XML Cite \textit{S. Bonettini} et al., J. Comput. Appl. Math. 385, Article ID 113192, 30 p. (2021; Zbl 07305117) Full Text: DOI
Suparatulatorn, Raweerote; Charoensawan, Phakdi; Poochinapan, Kanyuta; Dangskul, Supreedee An algorithm for the split feasible problem and image restoration. (English) Zbl 07299282 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 12, 17 p. (2021). MSC: 47J25 47H10 65K10 PDF BibTeX XML Cite \textit{R. Suparatulatorn} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 12, 17 p. (2021; Zbl 07299282) Full Text: DOI
Ebrahimi, Mehran; Bohun, Sean Single image super-resolution via non-local normalized graph Laplacian regularization: a self-similarity tribute. (English) Zbl 07274911 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105508, 13 p. (2021). MSC: 94A 28B 68U PDF BibTeX XML Cite \textit{M. Ebrahimi} and \textit{S. Bohun}, Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105508, 13 p. (2021; Zbl 07274911) Full Text: DOI
Dykes, L.; Ramlau, Ronny; Reichel, L.; Soodhalter, K. M.; Wagner, R. Lanczos-based fast blind deconvolution methods. (English) Zbl 07241397 J. Comput. Appl. Math. 382, Article ID 113067, 13 p. (2021). MSC: 65 94 PDF BibTeX XML Cite \textit{L. Dykes} et al., J. Comput. Appl. Math. 382, Article ID 113067, 13 p. (2021; Zbl 07241397) Full Text: DOI
Zheng, Zhe; Ng, Michael; Wu, Chunlin A globally convergent algorithm for a class of gradient compounded non-Lipschitz models applied to non-additive noise removal. (English) Zbl 07305931 Inverse Probl. 36, No. 12, Article ID 125017, 29 p. (2020). MSC: 37N 65K 90C PDF BibTeX XML Cite \textit{Z. Zheng} et al., Inverse Probl. 36, No. 12, Article ID 125017, 29 p. (2020; Zbl 07305931) Full Text: DOI
Greene, Clint; Revill, Kate; Buetefisch, Cathrin; Rose, Ken; Grafton, Scott Optimal fiber diffusion model restoration. (English) Zbl 07304435 Bonet-Carne, Elisenda (ed.) et al., Computational diffusion MRI. MICCAI workshop, Shenzhen, China, October 17, 2019. Cham: Springer (ISBN 978-3-030-52892-8/hbk; 978-3-030-52893-5/ebook). Mathematics and Visualization, 35-47 (2020). MSC: 92C55 92B20 92-08 PDF BibTeX XML Cite \textit{C. Greene} et al., in: Computational diffusion MRI. MICCAI workshop, Shenzhen, China, October 17, 2019. Cham: Springer. 35--47 (2020; Zbl 07304435) Full Text: DOI
Song, Jintao; Yu, Han; Pan, Zhenkuan Fast dual projection algorithm for variational model of image restoration with Euler’s elastica. (Chinese. English summary) Zbl 07295248 J. Fuzhou Univ., Nat. Sci. 48, No. 3, 296-301 (2020). MSC: 68U10 PDF BibTeX XML Cite \textit{J. Song} et al., J. Fuzhou Univ., Nat. Sci. 48, No. 3, 296--301 (2020; Zbl 07295248) Full Text: DOI
Fu, Xuesong; Wang, Jianlin; Hu, Zhixiong; Guo, Yongqi; Qiu, Kepeng; Wang, Rutong Anisotropic total variation regularization based NAS-RIF blind restoration method for OCT image. (English) Zbl 07295174 J. Beijing Inst. Technol. 29, No. 2, 146-157 (2020). MSC: 68U10 94A08 PDF BibTeX XML Cite \textit{X. Fu} et al., J. Beijing Inst. Technol. 29, No. 2, 146--157 (2020; Zbl 07295174) Full Text: DOI
Liu, Xiaoxia; Lu, Jian; Shen, Lixin; Xu, Chen; Xu, Yuesheng Multiplicative noise removal: nonlocal low-rank model and its proximal alternating reweighted minimization algorithm. (English) Zbl 07292236 SIAM J. Imaging Sci. 13, No. 3, 1595-1629 (2020). MSC: 68U10 94A08 90C26 15A03 46N10 65F22 PDF BibTeX XML Cite \textit{X. Liu} et al., SIAM J. Imaging Sci. 13, No. 3, 1595--1629 (2020; Zbl 07292236) Full Text: DOI
Haslam, Devin; Ibrahim, Soad; Elmesalami, Ayman Color restoration survey and an overdetermined system for color retrieval from faded images. (English) Zbl 07287554 Farouk, Mohamed Hesham (ed.) et al., Recent advances in engineering math and physics. Proceedings of the international conference, RAEMP 2019, Cairo, Egypt, December 24–26, 2019. Cham: Springer (ISBN 978-3-030-39846-0/hbk; 978-3-030-39847-7/ebook). 291-321 (2020). MSC: 94A08 PDF BibTeX XML Cite \textit{D. Haslam} et al., in: Recent advances in engineering math and physics. Proceedings of the international conference, RAEMP 2019, Cairo, Egypt, December 24--26, 2019. Cham: Springer. 291--321 (2020; Zbl 07287554) Full Text: DOI
Song, Jiebo; Li, Jia; Yao, Zhengan; Ma, Kaisheng; Bao, Chenglong Zero norm based analysis model for image smoothing and reconstruction. (English) Zbl 07283074 Inverse Probl. 36, No. 11, Article ID 115009, 22 p. (2020). MSC: 94A 49N PDF BibTeX XML Cite \textit{J. Song} et al., Inverse Probl. 36, No. 11, Article ID 115009, 22 p. (2020; Zbl 07283074) Full Text: DOI
Chua, Jeroen; Felzenszwalb, Pedro F. Scene grammars, factor graphs, and belief propagation. (English) Zbl 07273090 J. ACM 67, No. 4, Article No. 19, 41 p. (2020). MSC: 68 PDF BibTeX XML Cite \textit{J. Chua} and \textit{P. F. Felzenszwalb}, J. ACM 67, No. 4, Article No. 19, 41 p. (2020; Zbl 07273090) Full Text: DOI
Bonettini, S.; Prato, M.; Rebegoldi, S. Convergence of inexact forward-backward algorithms using the forward-backward envelope. (English) Zbl 1452.65105 SIAM J. Optim. 30, No. 4, 3069-3097 (2020). MSC: 65K05 90C26 90C30 94A08 PDF BibTeX XML Cite \textit{S. Bonettini} et al., SIAM J. Optim. 30, No. 4, 3069--3097 (2020; Zbl 1452.65105) Full Text: DOI
Majee, Sudeb; Jain, Subit K.; Ray, Rajendra K.; Majee, Ananta K. On the development of a coupled nonlinear telegraph-diffusion model for image restoration. (English) Zbl 07271183 Comput. Math. Appl. 80, No. 7, 1745-1766 (2020). MSC: 68 94 PDF BibTeX XML Cite \textit{S. Majee} et al., Comput. Math. Appl. 80, No. 7, 1745--1766 (2020; Zbl 07271183) Full Text: DOI
Guo, Xiao; Tao, Yue Projection primal-dual method for saddle point optimization problems with simple constrained. (Chinese. English summary) Zbl 07266912 J. Math., Wuhan Univ. 40, No. 2, 245-252 (2020). MSC: 90C47 65K10 PDF BibTeX XML Cite \textit{X. Guo} and \textit{Y. Tao}, J. Math., Wuhan Univ. 40, No. 2, 245--252 (2020; Zbl 07266912) Full Text: DOI
Lazarus, Carole; März, Maximilian; Weiss, Pierre Correcting the side effects of ADC filtering in MR image reconstruction. (English) Zbl 07255786 J. Math. Imaging Vis. 62, No. 6-7, 1034-1047 (2020). MSC: 68 94 PDF BibTeX XML Cite \textit{C. Lazarus} et al., J. Math. Imaging Vis. 62, No. 6--7, 1034--1047 (2020; Zbl 07255786) Full Text: DOI
Zhao, Pei-Pei; Huang, Yu-Mei Conjugate gradient method preconditioned with modified block SSOR iteration for multiplicative half-quadratic image restoration. (English) Zbl 1448.65019 Calcolo 57, No. 3, Paper No. 31, 20 p. (2020). MSC: 65D18 65F08 68U10 94A08 PDF BibTeX XML Cite \textit{P.-P. Zhao} and \textit{Y.-M. Huang}, Calcolo 57, No. 3, Paper No. 31, 20 p. (2020; Zbl 1448.65019) Full Text: DOI
Hu, Wujie; Wu, Jinzhao; Yuan, Gonglin Some modified Hestenes-Stiefel conjugate gradient algorithms with application in image restoration. (English) Zbl 1450.90028 Appl. Numer. Math. 158, 360-376 (2020). MSC: 90C25 90C06 90C52 PDF BibTeX XML Cite \textit{W. Hu} et al., Appl. Numer. Math. 158, 360--376 (2020; Zbl 1450.90028) Full Text: DOI
Khan, Suhel Ahmad; Kazmi, Kaleem Raza; Yambangwai, Damrongsak; Cholamjiak, Watcharaporn A hybrid projective method for solving system of equilibrium problems with demicontractive mappings applicable in image restoration problems. (English) Zbl 07245412 Math. Methods Appl. Sci. 43, No. 6, 3413-3431 (2020). MSC: 47H05 47H10 47J25 49M37 PDF BibTeX XML Cite \textit{S. A. Khan} et al., Math. Methods Appl. Sci. 43, No. 6, 3413--3431 (2020; Zbl 07245412) Full Text: DOI
Pang, Zhi-Feng; Meng, Ge; Li, Hui; Chen, Ke Image restoration via the adaptive \(TV^p\) regularization. (English) Zbl 1446.94012 Comput. Math. Appl. 80, No. 5, 569-587 (2020). MSC: 94A08 65K05 65R32 PDF BibTeX XML Cite \textit{Z.-F. Pang} et al., Comput. Math. Appl. 80, No. 5, 569--587 (2020; Zbl 1446.94012) Full Text: DOI
Chen, Huasong; Fan, Yuanyuan; Wang, Qinghua; Li, Zhenhua Morphological component image restoration by employing bregmanized sparse regularization and anisotropic total variation. (English) Zbl 07235629 Circuits Syst. Signal Process. 39, No. 5, 2507-2532 (2020). MSC: 94A08 90C25 PDF BibTeX XML Cite \textit{H. Chen} et al., Circuits Syst. Signal Process. 39, No. 5, 2507--2532 (2020; Zbl 07235629) Full Text: DOI
Liu, Xiaoman; Liu, Jijun Image restoration from noisy incomplete frequency data by alternative iteration scheme. (English) Zbl 1447.65117 Inverse Probl. Imaging 14, No. 4, 583-606 (2020). Reviewer: Carlos A. De Moura (Rio de Janeiro) MSC: 65N20 68U10 65N21 65T50 65K10 35Q31 PDF BibTeX XML Cite \textit{X. Liu} and \textit{J. Liu}, Inverse Probl. Imaging 14, No. 4, 583--606 (2020; Zbl 1447.65117) Full Text: DOI
Lee, Sangwon; Kang, Myungjoo Group sparse representation for restoring blurred images with Cauchy noise. (English) Zbl 07207943 J. Sci. Comput. 83, No. 3, Paper No. 41, 27 p. (2020). MSC: 94A08 65K10 PDF BibTeX XML Cite \textit{S. Lee} and \textit{M. Kang}, J. Sci. Comput. 83, No. 3, Paper No. 41, 27 p. (2020; Zbl 07207943) Full Text: DOI
Bentbib, A. H.; El Guide, M.; Jbilou, K. A generalized matrix Krylov subspace method for TV regularization. (English) Zbl 07193286 J. Comput. Appl. Math. 373, Article ID 112405, 20 p. (2020). MSC: 65 90 PDF BibTeX XML Cite \textit{A. H. Bentbib} et al., J. Comput. Appl. Math. 373, Article ID 112405, 20 p. (2020; Zbl 07193286) Full Text: DOI
Lanza, Alessandro; Pragliola, Monica; Sgallari, Fiorella Residual whiteness principle for parameter-free image restoration. (English) Zbl 07192777 ETNA, Electron. Trans. Numer. Anal. 53, 329-351 (2020). MSC: 94A08 65K10 PDF BibTeX XML Cite \textit{A. Lanza} et al., ETNA, Electron. Trans. Numer. Anal. 53, 329--351 (2020; Zbl 07192777) Full Text: DOI Link
Guo, Jiebin; He, Chuanjiang Adaptive shock-diffusion model for restoration of degraded document images. (English) Zbl 07190989 Appl. Math. Modelling 79, 555-565 (2020). MSC: 94 35 PDF BibTeX XML Cite \textit{J. Guo} and \textit{C. He}, Appl. Math. Modelling 79, 555--565 (2020; Zbl 07190989) Full Text: DOI
Wang, Weina; Wu, Chunlin; Tai, Xue-Cheng A globally convergent algorithm for a constrained non-Lipschitz image restoration model. (English) Zbl 07190186 J. Sci. Comput. 83, No. 1, Paper No. 14, 29 p. (2020). MSC: 94A08 90C26 94A12 PDF BibTeX XML Cite \textit{W. Wang} et al., J. Sci. Comput. 83, No. 1, Paper No. 14, 29 p. (2020; Zbl 07190186) Full Text: DOI
Bertocchi, Carla; Chouzenoux, Emilie; Corbineau, Marie-Caroline; Pesquet, Jean-Christophe; Prato, Marco Deep unfolding of a proximal interior point method for image restoration. (English) Zbl 1452.94003 Inverse Probl. 36, No. 3, Article ID 034005, 27 p. (2020). MSC: 94A08 65J22 90C25 90C51 PDF BibTeX XML Cite \textit{C. Bertocchi} et al., Inverse Probl. 36, No. 3, Article ID 034005, 27 p. (2020; Zbl 1452.94003) Full Text: DOI
Chen, Zixuan; Nagy, James G.; Xi, Yuanzhe; Yu, Bo Structured FISTA for image restoration. (English) Zbl 07177903 Numer. Linear Algebra Appl. 27, No. 2, e2278, 18 p. (2020). MSC: 65F22 68U10 94A08 PDF BibTeX XML Cite \textit{Z. Chen} et al., Numer. Linear Algebra Appl. 27, No. 2, e2278, 18 p. (2020; Zbl 07177903) Full Text: DOI
Saint-Dizier, Alexandre; Delon, Julie; Bouveyron, Charles A unified view on patch aggregation. (English) Zbl 1435.68358 J. Math. Imaging Vis. 62, No. 2, 149-168 (2020). MSC: 68U10 62H35 PDF BibTeX XML Cite \textit{A. Saint-Dizier} et al., J. Math. Imaging Vis. 62, No. 2, 149--168 (2020; Zbl 1435.68358) Full Text: DOI
Benyamin, Minas; Calder, Jeff; Sundaramoorthi, Ganesh; Yezzi, Anthony Accelerated variational PDEs for efficient solution of regularized inversion problems. (English) Zbl 1440.65124 J. Math. Imaging Vis. 62, No. 1, 10-36 (2020). MSC: 65M32 65M06 65K10 35Q94 94A08 35B65 65B99 PDF BibTeX XML Cite \textit{M. Benyamin} et al., J. Math. Imaging Vis. 62, No. 1, 10--36 (2020; Zbl 1440.65124) Full Text: DOI
Choi, Jae Kyu; Dong, Bin; Zhang, Xiaoqun An edge driven wavelet frame model for image restoration. (English) Zbl 07175646 Appl. Comput. Harmon. Anal. 48, No. 3, 993-1029 (2020). MSC: 94A08 42C40 49J45 49N45 68U10 PDF BibTeX XML Cite \textit{J. K. Choi} et al., Appl. Comput. Harmon. Anal. 48, No. 3, 993--1029 (2020; Zbl 07175646) Full Text: DOI
Yuan, Gonglin; Lu, Junyu; Wang, Zhan The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems. (English) Zbl 07173158 Appl. Numer. Math. 152, 1-11 (2020). MSC: 65K 90C 90C52 90C30 65K05 PDF BibTeX XML Cite \textit{G. Yuan} et al., Appl. Numer. Math. 152, 1--11 (2020; Zbl 07173158) Full Text: DOI
di Serafino, Daniela; Landi, Germana; Viola, Marco ACQUIRE: an inexact iteratively reweighted norm approach for TV-based Poisson image restoration. (English) Zbl 1433.65113 Appl. Math. Comput. 364, Article ID 124678, 23 p. (2020). MSC: 65K10 94A08 65K05 PDF BibTeX XML Cite \textit{D. di Serafino} et al., Appl. Math. Comput. 364, Article ID 124678, 23 p. (2020; Zbl 1433.65113) Full Text: DOI arXiv
Zuo, Hang; Wang, Liejun Motion image restoration based on sparse representation and guided filter. (English) Zbl 1453.94024 Int. J. Comput. Sci. Math. 10, No. 6, 534-544 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{H. Zuo} and \textit{L. Wang}, Int. J. Comput. Sci. Math. 10, No. 6, 534--544 (2019; Zbl 1453.94024) Full Text: DOI
Sun, Yunshan; Zhang, Liyi; Li, Yanqin; Meng, Juan A novel blind restoration and reconstruction approach for CT images based on sparse representation and hierarchical Bayesian-MAP. (English) Zbl 1451.94015 Algorithms (Basel) 12, No. 8, Paper No. 174, 15 p. (2019). MSC: 94A08 92C55 PDF BibTeX XML Cite \textit{Y. Sun} et al., Algorithms (Basel) 12, No. 8, Paper No. 174, 15 p. (2019; Zbl 1451.94015) Full Text: DOI
Liu, Qiang; Zhang, Zhiguang; Guo, Zhichang On a fractional reaction-diffusion system applied to image decomposition and restoration. (English) Zbl 1442.94012 Comput. Math. Appl. 78, No. 5, 1739-1751 (2019). MSC: 94A08 35K51 35R11 49K10 PDF BibTeX XML Cite \textit{Q. Liu} et al., Comput. Math. Appl. 78, No. 5, 1739--1751 (2019; Zbl 1442.94012) Full Text: DOI
Zhang, Jianjun A relaxed Newton-Picard like method for Huber variant of total variation based image restoration. (English) Zbl 1442.65022 Comput. Math. Appl. 78, No. 1, 224-239 (2019). MSC: 65D18 94A08 PDF BibTeX XML Cite \textit{J. Zhang}, Comput. Math. Appl. 78, No. 1, 224--239 (2019; Zbl 1442.65022) Full Text: DOI
Yang, Jing-Hua; Zhao, Xi-Le; Mei, Jin-Jin; Wang, Si; Ma, Tian-Hui; Huang, Ting-Zhu Total variation and high-order total variation adaptive model for restoring blurred images with Cauchy noise. (English) Zbl 1442.94015 Comput. Math. Appl. 77, No. 5, 1255-1272 (2019). MSC: 94A08 65R32 PDF BibTeX XML Cite \textit{J.-H. Yang} et al., Comput. Math. Appl. 77, No. 5, 1255--1272 (2019; Zbl 1442.94015) Full Text: DOI
Cristoferi, Riccardo; Fonseca, Irene Piecewise constant reconstruction of damaged color images. (English) Zbl 1437.49030 ESAIM, Control Optim. Calc. Var. 25, Paper No. 37, 27 p. (2019). MSC: 49J99 26B30 68U10 PDF BibTeX XML Cite \textit{R. Cristoferi} and \textit{I. Fonseca}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 37, 27 p. (2019; Zbl 1437.49030) Full Text: DOI
Wang, Wei; Xia, Xiang-Gen; Zhang, Shengli; He, Chuanjiang; Chen, Ling Vector total fractional-order variation and its applications for color image denoising and decomposition. (English) Zbl 07187097 Appl. Math. Modelling 72, 155-175 (2019). MSC: 94 68 PDF BibTeX XML Cite \textit{W. Wang} et al., Appl. Math. Modelling 72, 155--175 (2019; Zbl 07187097) Full Text: DOI
Liming, Tang; Honglu, Zhang; Chuanjiang, He; Zhuang, Fang Non-convex and non-smooth variational decomposition for image restoration. (English) Zbl 07186530 Appl. Math. Modelling 69, 355-377 (2019). MSC: 94 68 PDF BibTeX XML Cite \textit{T. Liming} et al., Appl. Math. Modelling 69, 355--377 (2019; Zbl 07186530) Full Text: DOI
Suparatulatorn, Raweerote; Charoensawan, Phakdi; Poochinapan, Kanyuta Inertial self-adaptive algorithm for solving split feasible problems with applications to image restoration. (English) Zbl 07163596 Math. Methods Appl. Sci. 42, No. 18, 7268-7284 (2019). MSC: 47J25 65K10 PDF BibTeX XML Cite \textit{R. Suparatulatorn} et al., Math. Methods Appl. Sci. 42, No. 18, 7268--7284 (2019; Zbl 07163596) Full Text: DOI
Chan, Raymond Honfu; Liang, Hai-Xia Truncated fractional-order total variation model for image restoration. (English) Zbl 1438.94005 J. Oper. Res. Soc. China 7, No. 4, 561-578 (2019). MSC: 94A08 65K10 PDF BibTeX XML Cite \textit{R. H. Chan} and \textit{H.-X. Liang}, J. Oper. Res. Soc. China 7, No. 4, 561--578 (2019; Zbl 1438.94005) Full Text: DOI
Cai, Xiaohao; Chan, Raymond; Schönlieb, Carola-Bibiane; Steidl, Gabriele; Zeng, Tieyong Linkage between piecewise constant Mumford-Shah model and Rudin-Osher-Fatemi model and its virtue in image segmentation. (English) Zbl 07141493 SIAM J. Sci. Comput. 41, No. 6, B1310-B1340 (2019). MSC: 94A08 52A41 65D15 68W40 90C25 90C90 PDF BibTeX XML Cite \textit{X. Cai} et al., SIAM J. Sci. Comput. 41, No. 6, B1310--B1340 (2019; Zbl 07141493) Full Text: DOI
Barbu, Tudor; Miranville, Alain; Moroşanu, Costică A qualitative analysis and numerical simulations of a nonlinear second-order anisotropic diffusion problem with non-homogeneous Cauchy-Neumann boundary conditions. (English) Zbl 1428.35162 Appl. Math. Comput. 350, 170-180 (2019). MSC: 35K55 35A09 35B65 35K20 65M06 68U10 PDF BibTeX XML Cite \textit{T. Barbu} et al., Appl. Math. Comput. 350, 170--180 (2019; Zbl 1428.35162) Full Text: DOI
Kongskov, Rasmus Dalgas; Dong, Yiqiu; Knudsen, Kim Directional total generalized variation regularization. (English) Zbl 1429.49035 BIT 59, No. 4, 903-928 (2019). MSC: 49M29 65K10 65J22 90C47 94A08 PDF BibTeX XML Cite \textit{R. D. Kongskov} et al., BIT 59, No. 4, 903--928 (2019; Zbl 1429.49035) Full Text: DOI arXiv
Ding, Weiyang; Ng, Michael K.; Zhang, Wenxing A Peaceman-Rachford splitting method with monotone plus skew-symmetric splitting for nonlinear saddle point problems. (English) Zbl 1436.65074 J. Sci. Comput. 81, No. 2, 763-788 (2019). MSC: 65K10 65F10 46N10 47N10 68U10 PDF BibTeX XML Cite \textit{W. Ding} et al., J. Sci. Comput. 81, No. 2, 763--788 (2019; Zbl 1436.65074) Full Text: DOI
Khalfi, Hamza; Fahim, Houda; Alaa, Nour Eddine Mathematical analysis of a modified Weikert system for image enhancement. (English) Zbl 1438.35219 An. Univ. Craiova, Ser. Mat. Inf. 46, No. 1, 90-98 (2019). MSC: 35K51 35D30 35K57 94A08 PDF BibTeX XML Cite \textit{H. Khalfi} et al., An. Univ. Craiova, Ser. Mat. Inf. 46, No. 1, 90--98 (2019; Zbl 1438.35219)
Chumchob, Noppadol; Prakit, Isararat An improved variational model and its numerical solutions for speckle noise removal from real ultrasound images. (English) Zbl 1438.92041 J. Comput. Math. 37, No. 2, 201-239 (2019). MSC: 92C55 65K10 PDF BibTeX XML Cite \textit{N. Chumchob} and \textit{I. Prakit}, J. Comput. Math. 37, No. 2, 201--239 (2019; Zbl 1438.92041) Full Text: DOI
Zhang, Shizheng Image restoration algorithm based on displacement Hermitian splitting. (Chinese. English summary) Zbl 1438.68292 J. Jilin Univ., Sci. 57, No. 1, 97-104 (2019). MSC: 68U10 PDF BibTeX XML Cite \textit{S. Zhang}, J. Jilin Univ., Sci. 57, No. 1, 97--104 (2019; Zbl 1438.68292) Full Text: DOI
Rezghi, Mansoor; Amirmazlaghani, Maryam Even-order Toeplitz tensor: framework for multidimensional structured linear systems. (English) Zbl 07101780 Comput. Appl. Math. 38, No. 3, Paper No. 143, 24 p. (2019). MSC: 65 PDF BibTeX XML Cite \textit{M. Rezghi} and \textit{M. Amirmazlaghani}, Comput. Appl. Math. 38, No. 3, Paper No. 143, 24 p. (2019; Zbl 07101780) Full Text: DOI
Langer, Andreas; Gaspoz, Fernando Overlapping domain decomposition methods for total variation denoising. (English) Zbl 07100346 SIAM J. Numer. Anal. 57, No. 3, 1411-1444 (2019). MSC: 94A08 49M27 65K10 90C06 PDF BibTeX XML Cite \textit{A. Langer} and \textit{F. Gaspoz}, SIAM J. Numer. Anal. 57, No. 3, 1411--1444 (2019; Zbl 07100346) Full Text: DOI
Li, Xin; Cui, Ziguan; Sun, Linhui; Lu, Guanming; Narayan, Debnath Research on iterative repair algorithm of hyperchaotic image based on support vector machine. (English) Zbl 1417.68267 Discrete Contin. Dyn. Syst., Ser. S 12, No. 4-5, 1199-1218 (2019). MSC: 68U10 68T05 PDF BibTeX XML Cite \textit{X. Li} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 4--5, 1199--1218 (2019; Zbl 1417.68267) Full Text: DOI
Pazos, Fernando; Bhaya, Amit Matrix forms of iterative algorithms to solve large-scale discrete ill-posed problems with an application to image restoration. (English) Zbl 07094244 J. Appl. Math. Comput. 60, No. 1-2, 113-145 (2019). MSC: 65F10 65F22 PDF BibTeX XML Cite \textit{F. Pazos} and \textit{A. Bhaya}, J. Appl. Math. Comput. 60, No. 1--2, 113--145 (2019; Zbl 07094244) Full Text: DOI
Lau, Chun Pong; Lai, Yu Hin; Lui, Lok Ming Restoration of atmospheric turbulence-distorted images via RPCA and quasiconformal maps. (English) Zbl 07079914 Inverse Probl. 35, No. 7, Article ID 074002, 32 p. (2019). MSC: 65T 94A PDF BibTeX XML Cite \textit{C. P. Lau} et al., Inverse Probl. 35, No. 7, Article ID 074002, 32 p. (2019; Zbl 07079914) Full Text: DOI
Belferdi, Wassila; Behloul, Ali; Noui, Lemnouar A Bayer pattern-based fragile watermarking scheme for color image tamper detection and restoration. (English) Zbl 1429.94068 Multidimensional Syst. Signal Process. 30, No. 3, 1093-1112 (2019). MSC: 94A62 94A08 PDF BibTeX XML Cite \textit{W. Belferdi} et al., Multidimensional Syst. Signal Process. 30, No. 3, 1093--1112 (2019; Zbl 1429.94068) Full Text: DOI
Zeng, Chao; Wu, Chunlin On the discontinuity of images recovered by noncovex nonsmooth regularized isotropic models with box constraints. (English) Zbl 1415.49018 Adv. Comput. Math. 45, No. 2, 589-610 (2019). MSC: 49K30 49N45 49N60 90C26 94A08 94A12 PDF BibTeX XML Cite \textit{C. Zeng} and \textit{C. Wu}, Adv. Comput. Math. 45, No. 2, 589--610 (2019; Zbl 1415.49018) Full Text: DOI
Lau, Chun Pong; Lai, Yu Hin; Lui, Lok Ming Variational models for joint subsampling and reconstruction of turbulence-degraded images. (English) Zbl 1415.94027 J. Sci. Comput. 78, No. 3, 1488-1525 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{C. P. Lau} et al., J. Sci. Comput. 78, No. 3, 1488--1525 (2019; Zbl 1415.94027) Full Text: DOI
Chen, Liyuan; Li, Yutian; Zeng, Tieyong Variational image restoration and segmentation with Rician noise. (English) Zbl 07074390 J. Sci. Comput. 78, No. 3, 1329-1352 (2019). MSC: 90C PDF BibTeX XML Cite \textit{L. Chen} et al., J. Sci. Comput. 78, No. 3, 1329--1352 (2019; Zbl 07074390) Full Text: DOI
Shen, Zhengwei; Sun, Huitong Iterative adaptive nonconvex low-rank tensor approximation to image restoration based on ADMM. (English) Zbl 07073922 J. Math. Imaging Vis. 61, No. 5, 627-642 (2019). MSC: 68 94 PDF BibTeX XML Cite \textit{Z. Shen} and \textit{H. Sun}, J. Math. Imaging Vis. 61, No. 5, 627--642 (2019; Zbl 07073922) Full Text: DOI
Lu, Jian; Qiao, Ke; Li, Xiaorui; Lu, Zhaosong; Zou, Yuru \(\ell_0\)-minimization methods for image restoration problems based on wavelet frames. (English) Zbl 1448.94024 Inverse Probl. 35, No. 6, Article ID 064001, 25 p. (2019). MSC: 94A08 90C26 65K05 65T60 PDF BibTeX XML Cite \textit{J. Lu} et al., Inverse Probl. 35, No. 6, Article ID 064001, 25 p. (2019; Zbl 1448.94024) Full Text: DOI
Laghrib, Amine; Hadri, Aissam; Hakim, Abdelilah An edge preserving high-order PDE for multiframe image super-resolution. (English) Zbl 07069609 J. Franklin Inst. 356, No. 11, 5834-5857 (2019). MSC: 94A08 65M30 PDF BibTeX XML Cite \textit{A. Laghrib} et al., J. Franklin Inst. 356, No. 11, 5834--5857 (2019; Zbl 07069609) Full Text: DOI
Padcharoen, Anantachai; Kumam, Poom; Martínez-Moreno, Juan Augmented Lagrangian method for TV-\(l_1\)-\(l_2\) based colour image restoration. (English) Zbl 1432.94017 J. Comput. Appl. Math. 354, 507-519 (2019). MSC: 94A08 90C25 47A52 47H05 47H20 47J25 49M20 49M25 49M27 PDF BibTeX XML Cite \textit{A. Padcharoen} et al., J. Comput. Appl. Math. 354, 507--519 (2019; Zbl 1432.94017) Full Text: DOI
You, Juntao; Jiao, Yuling; Lu, Xiliang; Zeng, Tieyong A nonconvex model with minimax concave penalty for image restoration. (English) Zbl 1419.94014 J. Sci. Comput. 78, No. 2, 1063-1086 (2019). Reviewer: Oleksandr Kukush (Kyïv) MSC: 94A08 65K05 90C26 PDF BibTeX XML Cite \textit{J. You} et al., J. Sci. Comput. 78, No. 2, 1063--1086 (2019; Zbl 1419.94014) Full Text: DOI
Liu, Jun; Osher, Stanley Block matching local SVD operator based sparsity and TV regularization for image denoising. (English) Zbl 07042459 J. Sci. Comput. 78, No. 1, 607-624 (2019). MSC: 65 65R32 94A08 PDF BibTeX XML Cite \textit{J. Liu} and \textit{S. Osher}, J. Sci. Comput. 78, No. 1, 607--624 (2019; Zbl 07042459) Full Text: DOI
Theljani, Anis; Belhachmi, Zakaria; Moakher, Maher High-order anisotropic diffusion operators in spaces of variable exponents and application to image inpainting and restoration problems. (English) Zbl 1414.65030 Nonlinear Anal., Real World Appl. 47, 251-271 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N21 65N30 65N50 65N12 68U10 PDF BibTeX XML Cite \textit{A. Theljani} et al., Nonlinear Anal., Real World Appl. 47, 251--271 (2019; Zbl 1414.65030) Full Text: DOI
Zhu, Jianguang; Li, Kai; Hao, Binbin Hybrid variational model based on alternating direction method for image restoration. (English) Zbl 07020809 Adv. Difference Equ. 2019, Paper No. 34, 16 p. (2019). MSC: 39 34 PDF BibTeX XML Cite \textit{J. Zhu} et al., Adv. Difference Equ. 2019, Paper No. 34, 16 p. (2019; Zbl 07020809) Full Text: DOI
Zeng, Chao; Jia, Rui; Wu, Chunlin An iterative support shrinking algorithm for non-Lipschitz optimization in image restoration. (English) Zbl 07012386 J. Math. Imaging Vis. 61, No. 1, 122-139 (2019). MSC: 68 94 PDF BibTeX XML Cite \textit{C. Zeng} et al., J. Math. Imaging Vis. 61, No. 1, 122--139 (2019; Zbl 07012386) Full Text: DOI
Pang, Zhi-Feng; Guo, Li-Zhen; Duan, Yuping; Lu, Jian Image restoration based on the minimized surface regularization. (English) Zbl 1442.94014 Comput. Math. Appl. 76, No. 8, 1893-1905 (2018). MSC: 94A08 PDF BibTeX XML Cite \textit{Z.-F. Pang} et al., Comput. Math. Appl. 76, No. 8, 1893--1905 (2018; Zbl 1442.94014) Full Text: DOI
Gao, Yiming; Liu, Fang; Yang, Xiaoping Total generalized variation restoration with non-quadratic fidelity. (English) Zbl 1448.94013 Multidimensional Syst. Signal Process. 29, No. 4, 1459-1484 (2018). MSC: 94A08 PDF BibTeX XML Cite \textit{Y. Gao} et al., Multidimensional Syst. Signal Process. 29, No. 4, 1459--1484 (2018; Zbl 1448.94013) Full Text: DOI
Jidesh, P.; Holla, Shivaram Non-local total bounded variation scheme for multiple-coil magnetic resonance image restoration. (English) Zbl 1448.94019 Multidimensional Syst. Signal Process. 29, No. 4, 1427-1448 (2018). MSC: 94A08 68U10 PDF BibTeX XML Cite \textit{P. Jidesh} and \textit{S. Holla}, Multidimensional Syst. Signal Process. 29, No. 4, 1427--1448 (2018; Zbl 1448.94019) Full Text: DOI
Aydin, Vildan Atalay; Foroosh, Hassan A linear well-posed solution to recover high-frequency information for super resolution image reconstruction. (English) Zbl 1448.94006 Multidimensional Syst. Signal Process. 29, No. 4, 1309-1330 (2018). MSC: 94A08 65T60 PDF BibTeX XML Cite \textit{V. A. Aydin} and \textit{H. Foroosh}, Multidimensional Syst. Signal Process. 29, No. 4, 1309--1330 (2018; Zbl 1448.94006) Full Text: DOI
Zhang, Yan-Shan; Zhang, Feng; Li, Bing-Zhao Image restoration method based on fractional variable order differential. (English) Zbl 1448.94041 Multidimensional Syst. Signal Process. 29, No. 3, 999-1024 (2018). MSC: 94A08 PDF BibTeX XML Cite \textit{Y.-S. Zhang} et al., Multidimensional Syst. Signal Process. 29, No. 3, 999--1024 (2018; Zbl 1448.94041) Full Text: DOI
Cheng, Shichao; Liu, Risheng; Fan, Xin; Luo, Zhongxuan Designing a stable feedback control system for blind image deconvolution. (English) Zbl 07200068 Neural Netw. 101, 101-112 (2018). MSC: 94A08 93B52 PDF BibTeX XML Cite \textit{S. Cheng} et al., Neural Netw. 101, 101--112 (2018; Zbl 07200068) Full Text: DOI
Chen, Yong; Huang, Ting-Zhu; Zhao, Xi-Le; Deng, Liang-Jian Hyperspectral image restoration using framelet-regularized low-rank nonnegative matrix factorization. (English) Zbl 07182992 Appl. Math. Modelling 63, 128-147 (2018). MSC: 65 94 PDF BibTeX XML Cite \textit{Y. Chen} et al., Appl. Math. Modelling 63, 128--147 (2018; Zbl 07182992) Full Text: DOI
Cui, Zhuo-Xu; Fan, Qibin A “Nonconvex\(+\)nonconvex” approach for image restoration with impulse noise removal. (English) Zbl 07182561 Appl. Math. Modelling 62, 254-271 (2018). MSC: 00 PDF BibTeX XML Cite \textit{Z.-X. Cui} and \textit{Q. Fan}, Appl. Math. Modelling 62, 254--271 (2018; Zbl 07182561) Full Text: DOI
Fan, Hong-Tao; Bastani, Mehdi; Zheng, Bing; Zhu, Xin-Yun A class of upper and lower triangular splitting iteration methods for image restoration. (English) Zbl 07166581 Appl. Math. Modelling 54, 82-111 (2018). MSC: 65 94 PDF BibTeX XML Cite \textit{H.-T. Fan} et al., Appl. Math. Modelling 54, 82--111 (2018; Zbl 07166581) Full Text: DOI
Li, Shuaijie; Li, Peng Weak solutions for a class of generalised image restoration models. (English) Zbl 1442.35210 Int. J. Dyn. Syst. Differ. Equ. 8, No. 3, 190-203 (2018). MSC: 35K57 94A08 PDF BibTeX XML Cite \textit{S. Li} and \textit{P. Li}, Int. J. Dyn. Syst. Differ. Equ. 8, No. 3, 190--203 (2018; Zbl 1442.35210) Full Text: DOI
Barbu, Tudor A nonlinear second-order partial differential equation-based algorithm for additive noise reduction. (English) Zbl 1438.35467 Bull. Transilv. Univ. Braşov, Ser. III, Math. Inform. Phys. 11(60), No. 2, 49-56 (2018). MSC: 35R60 35L20 35L70 35Q94 65M06 94A08 PDF BibTeX XML Cite \textit{T. Barbu}, Bull. Transilv. Univ. Braşov, Ser. III, Math. Inform. Phys. 11(60), No. 2, 49--56 (2018; Zbl 1438.35467)
Zhao, Xueqing; Huang, Keke; Wang, Xiaoming; Shi, Meihong; Zhu, Xinjuan; Gao, Quanli; Yu, Zhaofei Reaction-diffusion equation based image restoration. (English) Zbl 1427.94032 Appl. Math. Comput. 338, 588-606 (2018). MSC: 94A08 68U10 PDF BibTeX XML Cite \textit{X. Zhao} et al., Appl. Math. Comput. 338, 588--606 (2018; Zbl 1427.94032) Full Text: DOI
Milanfar, Peyman Rendition: reclaiming what a black box takes away. (English) Zbl 1429.94017 SIAM J. Imaging Sci. 11, No. 4, 2722-2756 (2018). MSC: 94A08 62H35 68U10 PDF BibTeX XML Cite \textit{P. Milanfar}, SIAM J. Imaging Sci. 11, No. 4, 2722--2756 (2018; Zbl 1429.94017) Full Text: DOI
Geng, Tianyu; Sun, Guiling; Xu, Yi; He, Jingfei Truncated nuclear norm minimization based group sparse representation for image restoration. (English) Zbl 1419.94005 SIAM J. Imaging Sci. 11, No. 3, 1878-1897 (2018). MSC: 94A08 68U10 PDF BibTeX XML Cite \textit{T. Geng} et al., SIAM J. Imaging Sci. 11, No. 3, 1878--1897 (2018; Zbl 1419.94005) Full Text: DOI
Chang, Qianshun; Che, Zengyan An adaptive algorithm for TV-based model of three norms \(L_q\) \((q = \frac{1}{2}, 1, 2)\) in image restoration. (English) Zbl 1427.94008 Appl. Math. Comput. 329, 251-265 (2018). MSC: 94A08 65D18 65K10 68U10 PDF BibTeX XML Cite \textit{Q. Chang} and \textit{Z. Che}, Appl. Math. Comput. 329, 251--265 (2018; Zbl 1427.94008) Full Text: DOI
Tiwari, Mayank; Gupta, Bhupendra Maximum absolute relative differences statistic for removing random-valued impulse noise from given image. (English) Zbl 1426.94025 Circuits Syst. Signal Process. 37, No. 5, 2098-2116 (2018). MSC: 94A08 62H35 PDF BibTeX XML Cite \textit{M. Tiwari} and \textit{B. Gupta}, Circuits Syst. Signal Process. 37, No. 5, 2098--2116 (2018; Zbl 1426.94025) Full Text: DOI
Kwon, Ji Yong; Kang, Moon Gi Restoration for out-of-focus color image based on gradient profile sharpness. (English) Zbl 1426.94018 Circuits Syst. Signal Process. 37, No. 1, 178-202 (2018). MSC: 94A08 PDF BibTeX XML Cite \textit{J. Y. Kwon} and \textit{M. G. Kang}, Circuits Syst. Signal Process. 37, No. 1, 178--202 (2018; Zbl 1426.94018) Full Text: DOI
Wang, Zhengsheng; Mu, Liming; Liu, Rongrong; Xu, Guili Arnoldi projection fractional Tikhonov for large scale ill-posed problems. (English) Zbl 1424.65046 Trans. Nanjing Univ. Aeronaut. Astronaut. 35, No. 3, 395-402 (2018). MSC: 65F22 PDF BibTeX XML Cite \textit{Z. Wang} et al., Trans. Nanjing Univ. Aeronaut. Astronaut. 35, No. 3, 395--402 (2018; Zbl 1424.65046) Full Text: DOI
Tang, Jiali; Zhu, Guangping; Du, Zhuoming Super-resolution restoration algorithm based on SVM multi-figure classification learning. (Chinese. English summary) Zbl 1424.68203 J. Nanjing Norm. Univ., Nat. Sci. Ed. 41, No. 3, 28-34, 41 (2018). MSC: 68U10 68T05 PDF BibTeX XML Cite \textit{J. Tang} et al., J. Nanjing Norm. Univ., Nat. Sci. Ed. 41, No. 3, 28--34, 41 (2018; Zbl 1424.68203) Full Text: DOI
Bai, Minru; Gong, Shihuan TV-MCP: a new method for image restoration in the presence of impulse noise. (Chinese. English summary) Zbl 1424.94002 J. Hunan Univ., Nat. Sci. 45, No. 8, 126-130 (2018). MSC: 94A08 PDF BibTeX XML Cite \textit{M. Bai} and \textit{S. Gong}, J. Hunan Univ., Nat. Sci. 45, No. 8, 126--130 (2018; Zbl 1424.94002) Full Text: DOI
Khan, Aftab; Yin, Hujun Parametric blind image deblurring with gradient based spectral kurtosis maximization. (English) Zbl 1408.94299 Image Anal. Stereol. 37, No. 3, 213-223 (2018). MSC: 94A08 PDF BibTeX XML Cite \textit{A. Khan} and \textit{H. Yin}, Image Anal. Stereol. 37, No. 3, 213--223 (2018; Zbl 1408.94299) Full Text: DOI
Liu, Tong; Cui, Zhuoxu A regularization model using wavelet frame and TV. (Chinese. English summary) Zbl 1424.94020 J. Math., Wuhan Univ. 38, No. 4, 701-705 (2018). MSC: 94A08 PDF BibTeX XML Cite \textit{T. Liu} and \textit{Z. Cui}, J. Math., Wuhan Univ. 38, No. 4, 701--705 (2018; Zbl 1424.94020) Full Text: DOI
Cui, Jing-Jing; Peng, Guo-Hua; Lu, Quan; Huang, Zheng-Ge Accelerated GNHSS iterative method for weighted Toeplitz regularized least-squares problems from image restoration. (English) Zbl 1413.65056 Comput. Appl. Math. 37, No. 5, 6152-6175 (2018). MSC: 65F10 15B05 65F50 65N20 PDF BibTeX XML Cite \textit{J.-J. Cui} et al., Comput. Appl. Math. 37, No. 5, 6152--6175 (2018; Zbl 1413.65056) Full Text: DOI
Garvey, Larissa; Meng, Chang; Nagy, James G. Singular value decomposition approximation via Kronecker summations for imaging applications. (English) Zbl 1404.65027 SIAM J. Matrix Anal. Appl. 39, No. 4, 1836-1857 (2018). MSC: 65F20 65F30 PDF BibTeX XML Cite \textit{L. Garvey} et al., SIAM J. Matrix Anal. Appl. 39, No. 4, 1836--1857 (2018; Zbl 1404.65027) Full Text: DOI
Kubínová, Marie; Nagy, James G. Robust regression for mixed Poisson-Gaussian model. (English) Zbl 06967413 Numer. Algorithms 79, No. 3, 825-851 (2018). MSC: 65N20 49M15 62F35 65F08 65F10 PDF BibTeX XML Cite \textit{M. Kubínová} and \textit{J. G. Nagy}, Numer. Algorithms 79, No. 3, 825--851 (2018; Zbl 06967413) Full Text: DOI
Wu, Chunlin; Liu, Zhifang; Wen, Shuang A general truncated regularization framework for contrast-preserving variational signal and image restoration: motivation and implementation. (English) Zbl 1411.94011 Sci. China, Math. 61, No. 9, 1711-1732 (2018). MSC: 94A08 49N45 49N60 PDF BibTeX XML Cite \textit{C. Wu} et al., Sci. China, Math. 61, No. 9, 1711--1732 (2018; Zbl 1411.94011) Full Text: DOI
Wali, Samad; Liu, Zhifang; Wu, Chunlin; Chang, Huibin A boosting procedure for variational-based image restoration. (English) Zbl 1413.94015 Numer. Math., Theory Methods Appl. 11, No. 1, 49-73 (2018). MSC: 94A08 PDF BibTeX XML Cite \textit{S. Wali} et al., Numer. Math., Theory Methods Appl. 11, No. 1, 49--73 (2018; Zbl 1413.94015) Full Text: DOI
Lanza, Alessandro; Morigi, Serena; Sciacchitano, Federica; Sgallari, Fiorella Whiteness constraints in a unified variational framework for image restoration. (English) Zbl 1433.94014 J. Math. Imaging Vis. 60, No. 9, 1503-1526 (2018). MSC: 94A08 90C26 90C90 PDF BibTeX XML Cite \textit{A. Lanza} et al., J. Math. Imaging Vis. 60, No. 9, 1503--1526 (2018; Zbl 1433.94014) Full Text: DOI
Chang, Chia-Feng; Wu, Jiunn-Lin; Chen, Kuan-Jen A hybrid motion deblurring strategy using patch based edge restoration and bilateral filter. (English) Zbl 1437.94010 J. Math. Imaging Vis. 60, No. 7, 1081-1094 (2018). MSC: 94A08 68U10 PDF BibTeX XML Cite \textit{C.-F. Chang} et al., J. Math. Imaging Vis. 60, No. 7, 1081--1094 (2018; Zbl 1437.94010) Full Text: DOI
Lamash, Yechiel Algorithm and constraints for exact non-blind deconvolution. (English) Zbl 1437.94019 J. Math. Imaging Vis. 60, No. 5, 692-706 (2018). MSC: 94A08 PDF BibTeX XML Cite \textit{Y. Lamash}, J. Math. Imaging Vis. 60, No. 5, 692--706 (2018; Zbl 1437.94019) Full Text: DOI