Chung, Matthias; Renaut, Rosemary A. A variable projection method for large-scale inverse problems with \(\ell^1\) regularization. (English) Zbl 1528.65031 Appl. Numer. Math. 192, 297-318 (2023). MSC: 65K05 90C25 65F22 94A08 PDFBibTeX XMLCite \textit{M. Chung} and \textit{R. A. Renaut}, Appl. Numer. Math. 192, 297--318 (2023; Zbl 1528.65031) Full Text: DOI
Pragliola, Monica; Calatroni, Luca; Lanza, Alessandro; Sgallari, Fiorella ADMM-based residual whiteness principle for automatic parameter selection in single image super-resolution problems. (English) Zbl 07694849 J. Math. Imaging Vis. 65, No. 1, 99-123 (2023). MSC: 68-XX 94-XX PDFBibTeX XMLCite \textit{M. Pragliola} et al., J. Math. Imaging Vis. 65, No. 1, 99--123 (2023; Zbl 07694849) Full Text: DOI arXiv
Zhang, Wenqian; Huang, Guangxin A majorization-minimization Golub-Kahan bidiagonalization method for \(\ell_2-\ell_q\) mimimization with applications in image restorization. (English) Zbl 1511.94013 Inverse Probl. Imaging 17, No. 3, 562-583 (2023). MSC: 94A08 65K10 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{G. Huang}, Inverse Probl. Imaging 17, No. 3, 562--583 (2023; Zbl 1511.94013) Full Text: DOI
Buccini, Alessandro; Pragliola, Monica; Reichel, Lothar; Sgallari, Fiorella A comparison of parameter choice rules for \(\ell^p\)-\(\ell^q\) minimization. (English) Zbl 1500.65027 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 441-463 (2022). MSC: 65K05 65F22 94A08 PDFBibTeX XMLCite \textit{A. Buccini} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 441--463 (2022; Zbl 1500.65027) Full Text: DOI
Hansen, Per Christian; Hayami, Ken; Morikuni, Keiichi GMRES methods for tomographic reconstruction with an unmatched back projector. (English) Zbl 1489.65060 J. Comput. Appl. Math. 413, Article ID 114352, 20 p. (2022). MSC: 65F22 65F10 94A08 PDFBibTeX XMLCite \textit{P. C. Hansen} et al., J. Comput. Appl. Math. 413, Article ID 114352, 20 p. (2022; Zbl 1489.65060) Full Text: DOI arXiv
Bianchi, Davide; Buccini, Alessandro; Donatelli, Marco; Randazzo, Emma Graph Laplacian for image deblurring. (English) Zbl 1487.65203 ETNA, Electron. Trans. Numer. Anal. 55, 169-186 (2022). MSC: 65R32 65F22 94A08 PDFBibTeX XMLCite \textit{D. Bianchi} et al., ETNA, Electron. Trans. Numer. Anal. 55, 169--186 (2022; Zbl 1487.65203) Full Text: DOI arXiv
Zhao, Mingchao; Wen, You-Wei; Ng, Michael; Li, Hongwei A nonlocal low rank model for Poisson noise removal. (English) Zbl 1467.94008 Inverse Probl. Imaging 15, No. 3, 519-537 (2021). MSC: 94A08 68U10 65K10 PDFBibTeX XMLCite \textit{M. Zhao} et al., Inverse Probl. Imaging 15, No. 3, 519--537 (2021; Zbl 1467.94008) Full Text: DOI
Zhang, Jianjun; Nagy, James G. An effective alternating direction method of multipliers for color image restoration. (English) Zbl 1471.65016 Appl. Numer. Math. 164, 43-56 (2021). MSC: 65D18 65F22 65K10 94A08 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. G. Nagy}, Appl. Numer. Math. 164, 43--56 (2021; Zbl 1471.65016) Full Text: DOI
Cui, Jingjing; Peng, Guohua; Lu, Quan; Huang, Zhengge Modified special HSS method for discrete ill-posed problems and image restoration. (English) Zbl 1480.65092 Int. J. Comput. Math. 97, No. 4, 739-758 (2020). MSC: 65F22 65F10 65D18 94A08 PDFBibTeX XMLCite \textit{J. Cui} et al., Int. J. Comput. Math. 97, No. 4, 739--758 (2020; Zbl 1480.65092) Full Text: DOI
Webber, James W.; Quinto, Eric Todd; Miller, Eric L. A joint reconstruction and lambda tomography regularization technique for energy-resolved x-ray imaging. (English) Zbl 1483.65236 Inverse Probl. 36, No. 7, Article ID 074002, 32 p. (2020). MSC: 65R32 94A08 44A12 65R10 81U40 92C55 PDFBibTeX XMLCite \textit{J. W. Webber} et al., Inverse Probl. 36, No. 7, Article ID 074002, 32 p. (2020; Zbl 1483.65236) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Zhang}, Comput. Math. Appl. 78, No. 1, 224--239 (2019; Zbl 1442.65022) Full Text: DOI
Mang, Andreas; Gholami, Amir; Davatzikos, Christos; Biros, George CLAIRE: a distributed-memory solver for constrained large deformation diffeomorphic image registration. (English) Zbl 1490.65123 SIAM J. Sci. Comput. 41, No. 5, C548-C584 (2019). MSC: 65K10 35Q93 49J20 65F08 68U10 76D55 94A08 PDFBibTeX XMLCite \textit{A. Mang} et al., SIAM J. Sci. Comput. 41, No. 5, C548--C584 (2019; Zbl 1490.65123) Full Text: DOI arXiv
Zhang, Xiongjun; Ng, Michael K. A fast algorithm for solving linear inverse problems with uniform noise removal. (English) Zbl 1416.65108 J. Sci. Comput. 79, No. 2, 1214-1240 (2019). MSC: 65F22 94A08 94A12 90C25 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{M. K. Ng}, J. Sci. Comput. 79, No. 2, 1214--1240 (2019; Zbl 1416.65108) Full Text: DOI
Sun, Jie; Quevedo, Fernando J.; Bollt, Erik Bayesian optical flow with uncertainty quantification. (English) Zbl 1453.62421 Inverse Probl. 34, No. 10, Article ID 105008, 26 p. (2018). MSC: 62F15 62H35 65R32 94A08 PDFBibTeX XMLCite \textit{J. Sun} et al., Inverse Probl. 34, No. 10, Article ID 105008, 26 p. (2018; Zbl 1453.62421) Full Text: DOI arXiv
Aminikhah, Hossein; Yousefi, Mahsa A special generalized HSS method for discrete ill-posed problems. (English) Zbl 1405.65041 Comput. Appl. Math. 37, No. 2, 1507-1523 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 94A08 65F22 15B57 PDFBibTeX XMLCite \textit{H. Aminikhah} and \textit{M. Yousefi}, Comput. Appl. Math. 37, No. 2, 1507--1523 (2018; Zbl 1405.65041) Full Text: DOI
Zibetti, Marcelo V. W.; Lin, Chuan; Herman, Gabor T. Total variation superiorized conjugate gradient method for image reconstruction. (English) Zbl 1430.94040 Inverse Probl. 34, No. 3, Article ID 034001, 26 p. (2018); erratum ibid. 36, No. 8, Article ID 089601, 2 p. (2020). MSC: 94A08 65J20 68U10 90C20 90C52 PDFBibTeX XMLCite \textit{M. V. W. Zibetti} et al., Inverse Probl. 34, No. 3, Article ID 034001, 26 p. (2018; Zbl 1430.94040) Full Text: DOI arXiv
Gazzola, Silvia; Karapiperi, Anna Image reconstruction and restoration using the simplified topological \(\varepsilon\)-algorithm. (English) Zbl 1410.94005 Appl. Math. Comput. 274, 539-555 (2016). MSC: 94A08 PDFBibTeX XMLCite \textit{S. Gazzola} and \textit{A. Karapiperi}, Appl. Math. Comput. 274, 539--555 (2016; Zbl 1410.94005) Full Text: DOI
Fox, Colin; Norton, Richard A. Fast sampling in a linear-Gaussian inverse problem. (English) Zbl 1398.94081 SIAM/ASA J. Uncertain. Quantif. 4, 1191-1218 (2016). MSC: 94A20 45Q05 47N30 62F15 65C60 PDFBibTeX XMLCite \textit{C. Fox} and \textit{R. A. Norton}, SIAM/ASA J. Uncertain. Quantif. 4, 1191--1218 (2016; Zbl 1398.94081) Full Text: DOI arXiv
Pérez, F.; Pérez, A.; Rodríguez, M.; Magdaleno, E. Lightfield recovery from its focal stack. (English) Zbl 1386.68208 J. Math. Imaging Vis. 56, No. 3, 573-590 (2016). MSC: 68U10 94A08 PDFBibTeX XMLCite \textit{F. Pérez} et al., J. Math. Imaging Vis. 56, No. 3, 573--590 (2016; Zbl 1386.68208) Full Text: DOI
Wen, Youwei; Chan, Raymond Honfu; Zeng, Tieyong Primal-dual algorithms for total variation based image restoration under Poisson noise. (English) Zbl 1403.65029 Sci. China, Math. 59, No. 1, 141-160 (2016). MSC: 65K10 68U10 94A08 PDFBibTeX XMLCite \textit{Y. Wen} et al., Sci. China, Math. 59, No. 1, 141--160 (2016; Zbl 1403.65029) Full Text: DOI
Berisha, Sebastian; Nagy, James G.; Plemmons, Robert J. Estimation of atmospheric PSF parameters for hyperspectral imaging. (English) Zbl 1374.94044 Numer. Linear Algebra Appl. 22, No. 5, 795-813 (2015). MSC: 94A08 65F20 65K10 PDFBibTeX XMLCite \textit{S. Berisha} et al., Numer. Linear Algebra Appl. 22, No. 5, 795--813 (2015; Zbl 1374.94044) Full Text: DOI
Jørgensen, Jakob S.; Sidky, Emil Y.; Hansen, Per Christian; Pan, Xiaochuan Empirical average-case relation between undersampling and sparsity in X-ray CT. (English) Zbl 1332.90393 Inverse Probl. Imaging 9, No. 2, 431-446 (2015). MSC: 90C90 15A29 44A12 94A08 PDFBibTeX XMLCite \textit{J. S. Jørgensen} et al., Inverse Probl. Imaging 9, No. 2, 431--446 (2015; Zbl 1332.90393) Full Text: DOI arXiv
Öktem, Ozan Mathematics of electron tomography. 2nd edition. (English) Zbl 1395.94056 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer (ISBN 978-1-4939-0789-2/print; 978-1-4939-0790-8/ebook; 978-1-4939-0791-5/print+ebook; 978-3-642-27795-5/online (updated continuously)). Springer Reference, 937-1031 (2015). MSC: 94A08 PDFBibTeX XMLCite \textit{O. Öktem}, in: Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer. 937--1031 (2015; Zbl 1395.94056) Full Text: DOI
Lanza, Alessandro; Morigi, Serena; Sgallari, Fiorella Variational image restoration with constraints on noise whiteness. (English) Zbl 1331.94022 J. Math. Imaging Vis. 53, No. 1, 61-77 (2015). MSC: 94A08 65K10 PDFBibTeX XMLCite \textit{A. Lanza} et al., J. Math. Imaging Vis. 53, No. 1, 61--77 (2015; Zbl 1331.94022) Full Text: DOI
Peng, Ji; Hampton, Jerrad; Doostan, Alireza A weighted \(\ell_1\)-minimization approach for sparse polynomial chaos expansions. (English) Zbl 1349.65198 J. Comput. Phys. 267, 92-111 (2014). MSC: 65K10 65C20 90C25 94A12 94A20 PDFBibTeX XMLCite \textit{J. Peng} et al., J. Comput. Phys. 267, 92--111 (2014; Zbl 1349.65198) Full Text: DOI arXiv
Novati, Paolo; Russo, Maria Rosaria Adaptive Arnoldi-Tikhonov regularization for image restoration. (English) Zbl 1298.65071 Numer. Algorithms 65, No. 4, 745-757 (2014). MSC: 65F22 65D18 94A08 PDFBibTeX XMLCite \textit{P. Novati} and \textit{M. R. Russo}, Numer. Algorithms 65, No. 4, 745--757 (2014; Zbl 1298.65071) Full Text: DOI
Del Bue, Alessio Adaptive non-rigid registration and structure from motion from image trajectories. (English) Zbl 1270.68344 Int. J. Comput. Vis. 103, No. 2, 226-239 (2013). MSC: 68T45 94A08 PDFBibTeX XMLCite \textit{A. Del Bue}, Int. J. Comput. Vis. 103, No. 2, 226--239 (2013; Zbl 1270.68344) Full Text: DOI
Dash, Ratnakar; Sa, Pankaj Kumar; Majhi, Banshidhar Particle swarm optimization based support vector regression for blind image restoration. (English) Zbl 1279.68324 J. Comput. Sci. Technol. 27, No. 5, 989-995 (2012). MSC: 68U10 68T05 68T20 94A08 PDFBibTeX XMLCite \textit{R. Dash} et al., J. Comput. Sci. Technol. 27, No. 5, 989--995 (2012; Zbl 1279.68324) Full Text: DOI
Deng, Liang-Jian; Huang, Ting-Zhu; Zhao, Xi-Le Wavelet-based two-level methods for image restoration. (English) Zbl 1266.65036 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 5079-5087 (2012). MSC: 65D18 94A08 65T60 PDFBibTeX XMLCite \textit{L.-J. Deng} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 5079--5087 (2012; Zbl 1266.65036) Full Text: DOI
Fan, Ying Wai (Daniel); Nagy, James G. Synthetic boundary conditions for image deblurring. (English) Zbl 1210.94013 Linear Algebra Appl. 434, No. 11, 2244-2268 (2011). Reviewer: Denis Sidorov (Irkutsk) MSC: 94A08 47A52 68U10 PDFBibTeX XMLCite \textit{Y. W. Fan} and \textit{J. G. Nagy}, Linear Algebra Appl. 434, No. 11, 2244--2268 (2011; Zbl 1210.94013) Full Text: DOI
Morigi, S.; Reichel, L.; Sgallari, F. Noise-reducing cascadic multilevel methods for linear discrete ill-posed problems. (English) Zbl 1219.65042 Numer. Algorithms 53, No. 1, 1-22 (2010). MSC: 65F22 94A08 PDFBibTeX XMLCite \textit{S. Morigi} et al., Numer. Algorithms 53, No. 1, 1--22 (2010; Zbl 1219.65042) Full Text: DOI
Wang, Yanfei; Ma, Shiqian A fast subspace method for image deblurring. (English) Zbl 1175.94030 Appl. Math. Comput. 215, No. 6, 2359-2377 (2009). MSC: 94A08 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{S. Ma}, Appl. Math. Comput. 215, No. 6, 2359--2377 (2009; Zbl 1175.94030) Full Text: DOI
Mastronardi, N.; Lemmerling, P.; Kalsi, A.; O’Leary, D. P.; Van Huffel, S. Implementation of the regularized structured total least squares algorithms for blind image deblurring. (English) Zbl 1060.94502 Linear Algebra Appl. 391, 203-221 (2004). MSC: 94A08 68U10 65F22 65F30 15A23 PDFBibTeX XMLCite \textit{N. Mastronardi} et al., Linear Algebra Appl. 391, 203--221 (2004; Zbl 1060.94502) Full Text: DOI