Fairag, Faisal; Chen, Ke; Ahmad, Shahbaz Analysis of the CCFD method for MC-based image denoising problems. (English) Zbl 07311976 ETNA, Electron. Trans. Numer. Anal. 54, 108-127 (2021). MSC: 68U10 94A08 65N06 65N12 PDF BibTeX XML Cite \textit{F. Fairag} et al., ETNA, Electron. Trans. Numer. Anal. 54, 108--127 (2021; Zbl 07311976) Full Text: DOI Link
Fairag, Faisal; Al-Mahdi, Adel; Ahmad, Shahbaz Two-level method for the total fractional-order variation model in image deblurring problem. (English) Zbl 1451.94008 Numer. Algorithms 85, No. 3, 931-950 (2020). MSC: 94A08 65F08 65N55 PDF BibTeX XML Cite \textit{F. Fairag} et al., Numer. Algorithms 85, No. 3, 931--950 (2020; Zbl 1451.94008) Full Text: DOI
Diening, L.; Fornasier, M.; Tomasi, R.; Wank, M. A relaxed Kačanov iteration for the \(p\)-Poisson problem. (English) Zbl 1442.65362 Numer. Math. 145, No. 1, 1-34 (2020). MSC: 65N30 35D30 35J92 PDF BibTeX XML Cite \textit{L. Diening} et al., Numer. Math. 145, No. 1, 1--34 (2020; Zbl 1442.65362) Full Text: DOI
Kimiaei, Morteza; Rahpeymaii, Farzad Impulse noise removal by an adaptive trust-region method. (English) Zbl 1436.94011 Soft Comput. 23, No. 22, 11901-11923 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{M. Kimiaei} and \textit{F. Rahpeymaii}, Soft Comput. 23, No. 22, 11901--11923 (2019; Zbl 1436.94011) Full Text: DOI
Gazzola, Silvia; Sabaté Landman, Malena Flexible GMRES for total variation regularization. (English) Zbl 1420.65021 BIT 59, No. 3, 721-746 (2019). MSC: 65F08 65F10 65F22 PDF BibTeX XML Cite \textit{S. Gazzola} and \textit{M. Sabaté Landman}, BIT 59, No. 3, 721--746 (2019; Zbl 1420.65021) Full Text: DOI
Shen, Yuan; Ji, Lei Partial convolution for total variation deblurring and denoising by new linearized alternating direction method of multipliers with extension step. (English) Zbl 1415.90123 J. Ind. Manag. Optim. 15, No. 1, 159-175 (2019). MSC: 90C30 65K05 94A08 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{L. Ji}, J. Ind. Manag. Optim. 15, No. 1, 159--175 (2019; Zbl 1415.90123) Full Text: DOI
Yang, Hao; Qiu, Hang; Chen, Leiting An optimized direction statistics for detecting and removing random-valued impulse noise. (English) Zbl 1412.94012 J. Ind. Manag. Optim. 14, No. 2, 597-611 (2018). MSC: 94A08 47A52 PDF BibTeX XML Cite \textit{H. Yang} et al., J. Ind. Manag. Optim. 14, No. 2, 597--611 (2018; Zbl 1412.94012) Full Text: DOI
Oktem, Figen S.; Gao, Liang; Kamalabadi, Farzad Computational spectral and ultrafast imaging via convex optimization. (English) Zbl 1443.94030 Monga, Vishal (ed.), Handbook of convex optimization methods in imaging science. Cham: Springer. 105-127 (2017). MSC: 94A08 90C25 PDF BibTeX XML Cite \textit{F. S. Oktem} et al., in: Handbook of convex optimization methods in imaging science. Cham: Springer. 105--127 (2017; Zbl 1443.94030) 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 PDF BibTeX XML Cite \textit{H. Deng} et al., Math. Probl. Eng. 2017, Article ID 3012910, 13 p. (2017; Zbl 1426.94014) Full Text: DOI
Abergel, Rémy; Moisan, Lionel The Shannon total variation. (English) Zbl 1382.94005 J. Math. Imaging Vis. 59, No. 2, 341-370 (2017). MSC: 94A08 68U10 94A17 PDF BibTeX XML Cite \textit{R. Abergel} and \textit{L. Moisan}, J. Math. Imaging Vis. 59, No. 2, 341--370 (2017; Zbl 1382.94005) Full Text: DOI
Zhou, Li; Bi, Du Yan; He, Lin Yuan Variational histogram equalization for single color image defogging. (English) Zbl 1400.94044 Math. Probl. Eng. 2016, Article ID 9897064, 17 p. (2016). MSC: 94A08 68U10 PDF BibTeX XML Cite \textit{L. Zhou} et al., Math. Probl. Eng. 2016, Article ID 9897064, 17 p. (2016; Zbl 1400.94044) Full Text: DOI
Jung, Miyoun; Kang, Myungjoo Variational image colorization models using higher-order Mumford-Shah regularizers. (English) Zbl 1371.65020 J. Sci. Comput. 68, No. 2, 864-888 (2016). MSC: 65D18 PDF BibTeX XML Cite \textit{M. Jung} and \textit{M. Kang}, J. Sci. Comput. 68, No. 2, 864--888 (2016; Zbl 1371.65020) Full Text: DOI
Duan, Yuping; Chang, Huibin; Tai, Xue-Cheng Convergent non-overlapping domain decomposition methods for variational image segmentation. (English) Zbl 1409.68313 J. Sci. Comput. 69, No. 2, 532-555 (2016). MSC: 68U10 68T45 94A08 PDF BibTeX XML Cite \textit{Y. Duan} et al., J. Sci. Comput. 69, No. 2, 532--555 (2016; Zbl 1409.68313) Full Text: DOI
Chen, Ke; Fairag, Faisal; Al-Mahdi, Adel Preconditioning techniques for an image deblurring problem. (English) Zbl 1413.94006 Numer. Linear Algebra Appl. 23, No. 3, 570-584 (2016). MSC: 94A08 65F22 68U10 PDF BibTeX XML Cite \textit{K. Chen} et al., Numer. Linear Algebra Appl. 23, No. 3, 570--584 (2016; Zbl 1413.94006) Full Text: DOI
Bergmann, Ronny; Chan, Raymond; Hielscher, Ralf; Persch, Johannes; Steidl, Gabriele Restoration of manifold-valued images by half-quadratic minimization. (English) Zbl 1348.65097 Inverse Probl. Imaging 10, No. 2, 281-304 (2016). MSC: 65K10 49Q99 49M20 49M37 PDF BibTeX XML Cite \textit{R. Bergmann} et al., Inverse Probl. Imaging 10, No. 2, 281--304 (2016; Zbl 1348.65097) Full Text: DOI
Fornasier, Massimo; Peter, Steffen; Rauhut, Holger; Worm, Stephan Conjugate gradient acceleration of iteratively re-weighted least squares methods. (English) Zbl 1353.90115 Comput. Optim. Appl. 65, No. 1, 205-259 (2016). MSC: 90C26 90C20 PDF BibTeX XML Cite \textit{M. Fornasier} et al., Comput. Optim. Appl. 65, No. 1, 205--259 (2016; Zbl 1353.90115) Full Text: DOI arXiv
Niinimäki, Kati; Lassas, Matti; Hämäläinen, Keijo; Kallonen, Aki; Kolehmainen, Ville; Niemi, Esa; Siltanen, Samuli Multiresolution parameter choice method for total variation regularized tomography. (English) Zbl 1346.65072 SIAM J. Imaging Sci. 9, No. 3, 938-974 (2016). MSC: 65R10 65R30 44A12 92C55 65R32 PDF BibTeX XML Cite \textit{K. Niinimäki} et al., SIAM J. Imaging Sci. 9, No. 3, 938--974 (2016; Zbl 1346.65072) Full Text: DOI arXiv
Liu, Pengfei; Xiao, Liang; Zhang, Jun A fast higher degree total variation minimization method for image restoration. (English) Zbl 1347.65049 Int. J. Comput. Math. 93, No. 8, 1383-1404 (2016). Reviewer: H. P. Dikshit (Bhopal) MSC: 65D18 65K10 94A08 PDF BibTeX XML Cite \textit{P. Liu} et al., Int. J. Comput. Math. 93, No. 8, 1383--1404 (2016; Zbl 1347.65049) Full Text: DOI
Sigl, Juliane Nonlinear residual minimization by iteratively reweighted least squares. (English) Zbl 1373.90153 Comput. Optim. Appl. 64, No. 3, 755-792 (2016). MSC: 90C30 PDF BibTeX XML Cite \textit{J. Sigl}, Comput. Optim. Appl. 64, No. 3, 755--792 (2016; Zbl 1373.90153) Full Text: DOI arXiv
Chen, K.; Loli Piccolomini, E.; Zama, F. Iterative constrained minimization for vectorial TV image deblurring. (English) Zbl 1371.94086 J. Math. Imaging Vis. 54, No. 2, 240-255 (2016). MSC: 94A08 65K10 PDF BibTeX XML Cite \textit{K. Chen} et al., J. Math. Imaging Vis. 54, No. 2, 240--255 (2016; Zbl 1371.94086) Full Text: DOI
Rövid, András; Szeidl, László; Várlaki, Péter Integral operators in relation to the HOSVD-based canonical form. (English) Zbl 1332.93072 Asian J. Control 17, No. 2, 459-466 (2015). MSC: 93B10 93A30 93C15 93C05 15A18 PDF BibTeX XML Cite \textit{A. Rövid} et al., Asian J. Control 17, No. 2, 459--466 (2015; Zbl 1332.93072) Full Text: DOI
Bar, Leah; Chan, Tony F.; Chung, Ginmo; Jung, Miyoun; Vese, Luminita A.; Kiryati, Nahum; Sochen, Nir Mumford and Shah model and its applications to image segmentation and image restoration. (English) Zbl 1331.94011 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, 1539-1597 (2015). MSC: 94A08 68U10 PDF BibTeX XML Cite \textit{L. Bar} et al., in: Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer. 1539--1597 (2015; Zbl 1331.94011) Full Text: DOI
Hidalgo-Silva, Hugo; Gómez-Treviño, E. Bregman iterative algorithms for 2D geosounding inversion. (English) Zbl 1329.86020 Inverse Probl. Sci. Eng. 23, No. 6, 1085-1099 (2015). MSC: 86A22 86A25 PDF BibTeX XML Cite \textit{H. Hidalgo-Silva} and \textit{E. Gómez-Treviño}, Inverse Probl. Sci. Eng. 23, No. 6, 1085--1099 (2015; Zbl 1329.86020) Full Text: DOI
Dassios, Ioannis; Fountoulakis, Kimon; Gondzio, Jacek A preconditioner for a primal-dual Newton conjugate gradient method for compressed sensing problems. (English) Zbl 1371.65049 SIAM J. Sci. Comput. 37, No. 6, A2783-A2812 (2015). MSC: 65K05 49M15 49M29 65F08 90C06 PDF BibTeX XML Cite \textit{I. Dassios} et al., SIAM J. Sci. Comput. 37, No. 6, A2783--A2812 (2015; Zbl 1371.65049) Full Text: DOI arXiv
Lanza, A.; Morigi, S.; Reichel, L.; Sgallari, F. A generalized Krylov subspace method for \(\ell_p\)-\(\ell_q\) minimization. (English) Zbl 1343.65077 SIAM J. Sci. Comput. 37, No. 5, S30-S50 (2015). MSC: 65K10 65F10 65F22 94A08 PDF BibTeX XML Cite \textit{A. Lanza} et al., SIAM J. Sci. Comput. 37, No. 5, S30--S50 (2015; Zbl 1343.65077) Full Text: DOI
Robini, Marc C.; Zhu, Yuemin Generic half-quadratic optimization for image reconstruction. (English) Zbl 1326.49058 SIAM J. Imaging Sci. 8, No. 3, 1752-1797 (2015). MSC: 49N45 49M37 49M30 90C26 90C30 65K05 65K10 65F22 94A08 68U10 68W40 PDF BibTeX XML Cite \textit{M. C. Robini} and \textit{Y. Zhu}, SIAM J. Imaging Sci. 8, No. 3, 1752--1797 (2015; Zbl 1326.49058) 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 PDF BibTeX XML Cite \textit{M. Jung} and \textit{M. Kang}, J. Sci. Comput. 62, No. 2, 336--370 (2015; Zbl 1320.65035) Full Text: DOI
Li, Qia; Shen, Lixin; Xu, Yuesheng; Zhang, Na Multi-step fixed-point proximity algorithms for solving a class of optimization problems arising from image processing. (English) Zbl 1326.65069 Adv. Comput. Math. 41, No. 2, 387-422 (2015). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 94A08 90C26 65D18 PDF BibTeX XML Cite \textit{Q. Li} et al., Adv. Comput. Math. 41, No. 2, 387--422 (2015; Zbl 1326.65069) Full Text: DOI
Chang, Huibin; Tai, Xue-Cheng; Wang, Li-Lian; Yang, Danping Convergence rate of overlapping domain decomposition methods for the Rudin-Osher-Fatemi model based on a dual formulation. (English) Zbl 1329.94010 SIAM J. Imaging Sci. 8, No. 1, 564-591 (2015). MSC: 94A08 65N55 74S20 PDF BibTeX XML Cite \textit{H. Chang} et al., SIAM J. Imaging Sci. 8, No. 1, 564--591 (2015; Zbl 1329.94010) Full Text: DOI
Albocher, U.; Barbone, P. E.; Richards, M. S.; Oberai, A. A.; Harari, I. Approaches to accommodate noisy data in the direct solution of inverse problems in incompressible plane strain elasticity. (English) Zbl 1321.74049 Inverse Probl. Sci. Eng. 22, No. 8, 1307-1328 (2014). MSC: 74L15 65N21 74G75 PDF BibTeX XML Cite \textit{U. Albocher} et al., Inverse Probl. Sci. Eng. 22, No. 8, 1307--1328 (2014; Zbl 1321.74049) Full Text: DOI
Howard, Marylesa; Luttman, Aaron; Fowler, Michael Sampling-based uncertainty quantification in deconvolution of X-ray radiographs. (English) Zbl 1321.65031 J. Comput. Appl. Math. 270, 43-51 (2014). MSC: 65D18 92C55 65R32 44A12 65R10 65C05 65C40 62H35 PDF BibTeX XML Cite \textit{M. Howard} et al., J. Comput. Appl. Math. 270, 43--51 (2014; Zbl 1321.65031) Full Text: DOI
Yi, Dokkyun An iterative scheme for total variation-based image denoising. (English) Zbl 1296.65037 J. Sci. Comput. 58, No. 3, 648-671 (2014). MSC: 65D18 PDF BibTeX XML Cite \textit{D. Yi}, J. Sci. Comput. 58, No. 3, 648--671 (2014; Zbl 1296.65037) 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 PDF BibTeX XML Cite \textit{K. Chen} et al., Numer. Algorithms 67, No. 1, 73--92 (2014; Zbl 1296.68183) Full Text: DOI
Li, Li; Liu, Wanyu Runge-Kutta type total variation regularization for nonlinear inverse problems. (English) Zbl 1301.65040 J. Comput. Appl. Math. 263, 103-114 (2014). MSC: 65J22 65J15 65J20 65L06 PDF BibTeX XML Cite \textit{L. Li} and \textit{W. Liu}, J. Comput. Appl. Math. 263, 103--114 (2014; Zbl 1301.65040) Full Text: DOI
Yi, Dokkyun; Choi, Booyong; Kim, Eun-Youn An effective method for solving nonlinear equations and its application. (English) Zbl 1329.65135 Appl. Math. Comput. 220, 568-579 (2013). MSC: 65K10 94A08 PDF BibTeX XML Cite \textit{D. Yi} et al., Appl. Math. Comput. 220, 568--579 (2013; Zbl 1329.65135) Full Text: DOI
Hidalgo-Silva, Hugo; Gómez-Treviño, E. Inversion of electromagnetic geosoundings using coordinate descent optimization. (English) Zbl 1300.86002 Inverse Probl. Sci. Eng. 21, No. 7, 1183-1198 (2013). MSC: 86A22 86A25 62J07 PDF BibTeX XML Cite \textit{H. Hidalgo-Silva} and \textit{E. Gómez-Treviño}, Inverse Probl. Sci. Eng. 21, No. 7, 1183--1198 (2013; Zbl 1300.86002) Full Text: DOI
Chen, Dali; Chen, Yang Quan; Xue, Dingyu Fractional-order total variation image restoration based on primal-dual algorithm. (English) Zbl 1364.94091 Abstr. Appl. Anal. 2013, Article ID 585310, 10 p. (2013). MSC: 94A08 26A33 90C90 PDF BibTeX XML Cite \textit{D. Chen} et al., Abstr. Appl. Anal. 2013, Article ID 585310, 10 p. (2013; Zbl 1364.94091) 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 PDF BibTeX XML Cite \textit{N. Chumchob} et al., Int. J. Comput. Math. 90, No. 1, 140--161 (2013; Zbl 1278.68330) Full Text: DOI
Shi, Yuying; Chang, Qianshun Efficient algorithm for isotropic and anisotropic total variation deblurring and denoising. (English) Zbl 1266.65039 J. Appl. Math. 2013, Article ID 797239, 14 p. (2013). MSC: 65D18 94A08 PDF BibTeX XML Cite \textit{Y. Shi} and \textit{Q. Chang}, J. Appl. Math. 2013, Article ID 797239, 14 p. (2013; Zbl 1266.65039) Full Text: DOI
Chen, Pengwen; Gui, Changfeng Linear convergence analysis of the use of gradient projection methods on total variation problems. (English) Zbl 1290.90070 Comput. Optim. Appl. 54, No. 2, 283-315 (2013). MSC: 90C30 PDF BibTeX XML Cite \textit{P. Chen} and \textit{C. Gui}, Comput. Optim. Appl. 54, No. 2, 283--315 (2013; Zbl 1290.90070) Full Text: DOI
Landi, Germana; Piccolomini, Elena Loli NPtool: a MATLAB software for nonnegative image restoration with Newton projection methods. (English) Zbl 1262.65033 Numer. Algorithms 62, No. 3, 487-504 (2013). MSC: 65D18 94A08 65Y15 PDF BibTeX XML Cite \textit{G. Landi} and \textit{E. L. Piccolomini}, Numer. Algorithms 62, No. 3, 487--504 (2013; Zbl 1262.65033) Full Text: DOI
Wang, Jing; Lu, Ke; Wang, Qian; Jia, Jie Kernel optimization for blind motion deblurring with image edge prior. (English) Zbl 1264.94025 Math. Probl. Eng. 2012, Article ID 639824, 10 p. (2012). MSC: 94A08 PDF BibTeX XML Cite \textit{J. Wang} et al., Math. Probl. Eng. 2012, Article ID 639824, 10 p. (2012; Zbl 1264.94025) Full Text: DOI
Chen, Dai-Qiang; Zhang, Hui; Cheng, Li-Zhi A fast fixed point algorithm for total variation deblurring and segmentation. (English) Zbl 1255.68219 J. Math. Imaging Vis. 43, No. 3, 167-179 (2012). MSC: 68U10 PDF BibTeX XML Cite \textit{D.-Q. Chen} et al., J. Math. Imaging Vis. 43, No. 3, 167--179 (2012; Zbl 1255.68219) Full Text: DOI
Landi, G.; Loli Piccolomini, E. A feasible direction method for image restoration. (English) Zbl 1261.90055 Optim. Lett. 6, No. 8, 1795-1817 (2012). MSC: 90C30 90C90 PDF BibTeX XML Cite \textit{G. Landi} and \textit{E. Loli Piccolomini}, Optim. Lett. 6, No. 8, 1795--1817 (2012; Zbl 1261.90055) Full Text: DOI
Xu, Yi-ping A new algorithm for total variation based image denoising. (English) Zbl 1252.68337 Acta Math. Appl. Sin., Engl. Ser. 28, No. 4, 721-730 (2012). MSC: 68U10 65M55 65K10 PDF BibTeX XML Cite \textit{Y.-p. Xu}, Acta Math. Appl. Sin., Engl. Ser. 28, No. 4, 721--730 (2012; Zbl 1252.68337) Full Text: DOI
Krešić-Jurić, Saša Analysis of edge detection in bar code symbols: an overview and open problems. (English) Zbl 1251.94007 J. Appl. Math. 2012, Article ID 758657, 31 p. (2012). MSC: 94A08 68T10 68U10 PDF BibTeX XML Cite \textit{S. Krešić-Jurić}, J. Appl. Math. 2012, Article ID 758657, 31 p. (2012; Zbl 1251.94007) Full Text: DOI
Landi, Germana; Piccolomini, Elena Loli An improved Newton projection method for nonnegative deblurring of Poisson-corrupted images with Tikhonov regularization. (English) Zbl 1241.65059 Numer. Algorithms 60, No. 1, 169-188 (2012). MSC: 65K05 90C30 90C53 94A08 PDF BibTeX XML Cite \textit{G. Landi} and \textit{E. L. Piccolomini}, Numer. Algorithms 60, No. 1, 169--188 (2012; Zbl 1241.65059) Full Text: DOI
Shi, Yuying; Wang, Li-Lian; Tai, Xue-Cheng Geometry of total variation regularized \(L^p\)-model. (English) Zbl 1259.94020 J. Comput. Appl. Math. 236, No. 8, 2223-2234 (2012). MSC: 94A08 PDF BibTeX XML Cite \textit{Y. Shi} et al., J. Comput. Appl. Math. 236, No. 8, 2223--2234 (2012; Zbl 1259.94020) Full Text: DOI
Chen, Zhongying; Ding, Shengpei; Yang, Hongqi Multilevel augmentation algorithms based on fast collocation methods for solving ill-posed integral equations. (English) Zbl 1231.65258 Comput. Math. Appl. 62, No. 4, 2071-2082 (2011). MSC: 65R30 45B05 65R20 PDF BibTeX XML Cite \textit{Z. Chen} et al., Comput. Math. Appl. 62, No. 4, 2071--2082 (2011; Zbl 1231.65258) Full Text: DOI
Landi, G.; Loli Piccolomini, E. Quasi-Newton projection methods and the discrepancy principle in image restoration. (English) Zbl 1269.65053 Appl. Math. Comput. 218, No. 5, 2091-2107 (2011). MSC: 65K05 90C15 94A08 PDF BibTeX XML Cite \textit{G. Landi} and \textit{E. Loli Piccolomini}, Appl. Math. Comput. 218, No. 5, 2091--2107 (2011; Zbl 1269.65053) Full Text: DOI
Chan, Raymond H.; Liang, Hai-Xia; Ma, Jun Positively constrained total variation penalized image restoration. (English) Zbl 1234.94011 Adv. Adapt. Data Anal. 3, No. 1-2, 187-201 (2011). MSC: 94A08 65K10 PDF BibTeX XML Cite \textit{R. H. Chan} et al., Adv. Adapt. Data Anal. 3, No. 1--2, 187--201 (2011; Zbl 1234.94011) Full Text: DOI
Wang, Yanfei; Cui, Yan; Yang, Changchun Hybrid regularization methods for seismic reflectivity inversion. (English) Zbl 1225.86002 GEM. Int. J. Geomath. 2, No. 1, 87-112 (2011). MSC: 86A22 65J20 90C51 PDF BibTeX XML Cite \textit{Y. Wang} et al., GEM. Int. J. Geomath. 2, No. 1, 87--112 (2011; Zbl 1225.86002) Full Text: DOI
Kolev, Kalin; Kirchgeßner, Norbert; Houben, Sebatian; Csiszár, Agnes; Rubner, Wolfgang; Palm, Christoph; Eiben, Björn; Merkel, Rudolf; Cremers, Daniel A variational approach to vesicle membrane reconstruction from fluorescence imaging. (English) Zbl 1218.68174 Pattern Recognition 44, No. 12, 2944-2958 (2011). MSC: 68T45 92C55 PDF BibTeX XML Cite \textit{K. Kolev} et al., Pattern Recognition 44, No. 12, 2944--2958 (2011; Zbl 1218.68174) 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 PDF BibTeX XML Cite \textit{Y. Xiao} et al., Pattern Recognition 44, No. 8, 1708--1720 (2011; Zbl 1218.68191) Full Text: DOI
Bardsley, Johnathan M.; Goldes, John Regularization parameter selection and an efficient algorithm for total variation-regularized positron emission tomography. (English) Zbl 1217.65117 Numer. Algorithms 57, No. 2, 255-271 (2011). MSC: 65K10 49J15 49J55 49N45 PDF BibTeX XML Cite \textit{J. M. Bardsley} and \textit{J. Goldes}, Numer. Algorithms 57, No. 2, 255--271 (2011; Zbl 1217.65117) Full Text: DOI
Yi, Dokkyun; Kim, Do-Hyung; Kim, Eunyoun; Yang, Sung-Dae Convergence of a fixed point iteration method for the OSV model. (English) Zbl 1177.94035 Appl. Math. Comput. 215, No. 5, 1780-1790 (2009). MSC: 94A08 PDF BibTeX XML Cite \textit{D. Yi} et al., Appl. Math. Comput. 215, No. 5, 1780--1790 (2009; Zbl 1177.94035) 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 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{S. Ma}, Appl. Math. Comput. 215, No. 6, 2359--2377 (2009; Zbl 1175.94030) Full Text: DOI
Bardsley, Johnathan M.; Luttman, Aaron Total variation-penalized Poisson likelihood estimation for ill-posed problems. (English) Zbl 1171.94001 Adv. Comput. Math. 31, No. 1-3, 35-59 (2009). MSC: 94A08 PDF BibTeX XML Cite \textit{J. M. Bardsley} and \textit{A. Luttman}, Adv. Comput. Math. 31, No. 1--3, 35--59 (2009; Zbl 1171.94001) Full Text: DOI
Yi, Dokkyun An algorithm for image removals and decompositions without inverse matrices. (English) Zbl 1156.94007 J. Comput. Appl. Math. 225, No. 2, 428-439 (2009). MSC: 94A08 68U10 65K10 PDF BibTeX XML Cite \textit{D. Yi}, J. Comput. Appl. Math. 225, No. 2, 428--439 (2009; Zbl 1156.94007) Full Text: DOI
Marquina, Antonio; Osher, Stanley J. Image super-resolution by TV-regularization and Bregman iteration. (English) Zbl 1203.94014 J. Sci. Comput. 37, No. 3, 367-382 (2008). MSC: 94A08 94A20 44A35 65D18 65R10 PDF BibTeX XML Cite \textit{A. Marquina} and \textit{S. J. Osher}, J. Sci. Comput. 37, No. 3, 367--382 (2008; Zbl 1203.94014) Full Text: DOI
Xu, Jing; Chang, Qian-shun A robust algorithm for blind total variation restoration. (English) Zbl 1331.68276 Acta Math. Appl. Sin., Engl. Ser. 24, No. 4, 681-690 (2008). MSC: 68U10 65M55 PDF BibTeX XML Cite \textit{J. Xu} and \textit{Q.-s. Chang}, Acta Math. Appl. Sin., Engl. Ser. 24, No. 4, 681--690 (2008; Zbl 1331.68276) Full Text: DOI
Landi, G. The Lagrange method for the regularization of discrete ill-posed problems. (English) Zbl 1151.91732 Comput. Optim. Appl. 39, No. 3, 347-368 (2008). MSC: 91C20 90C53 PDF BibTeX XML Cite \textit{G. Landi}, Comput. Optim. Appl. 39, No. 3, 347--368 (2008; Zbl 1151.91732) Full Text: DOI
Wang, Yanfei; Ma, Shiqian Projected Barzilai-Borwein method for large-scale nonnegative image restoration. (English) Zbl 1202.94077 Inverse Probl. Sci. Eng. 15, No. 6, 559-583 (2007). MSC: 94A08 90C20 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{S. Ma}, Inverse Probl. Sci. Eng. 15, No. 6, 559--583 (2007; Zbl 1202.94077) Full Text: DOI
Ng, Michael K.; Shen, Huanfeng; Lam, Edmund Y.; Zhang, Liangpei A total variation regularization based super-resolution reconstruction algorithm for digital video. (English) Zbl 1168.94345 EURASIP J. Adv. Signal Process. 2007, Article ID 74585, 16 p. (2007). MSC: 94A08 PDF BibTeX XML Cite \textit{M. K. Ng} et al., EURASIP J. Adv. Signal Process. 2007, Article ID 74585, 16 p. (2007; Zbl 1168.94345) Full Text: DOI
Chen, Ke; Tai, Xue-Cheng A nonlinear multigrid method for total variation minimization from image restoration. (English) Zbl 1129.65046 J. Sci. Comput. 33, No. 2, 115-138 (2007). MSC: 65K10 49J20 49M27 94A08 68U10 65F10 PDF BibTeX XML Cite \textit{K. Chen} and \textit{X.-C. Tai}, J. Sci. Comput. 33, No. 2, 115--138 (2007; Zbl 1129.65046) Full Text: DOI
Chan, Tony F.; Zhou, Hao-Min Total variation wavelet thresholding. (English) Zbl 1125.65124 J. Sci. Comput. 32, No. 2, 315-341 (2007). Reviewer: Manfred Tasche (Rostock) MSC: 65T60 68U10 94A08 94A12 PDF BibTeX XML Cite \textit{T. F. Chan} and \textit{H.-M. Zhou}, J. Sci. Comput. 32, No. 2, 315--341 (2007; Zbl 1125.65124) 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 PDF BibTeX XML Cite \textit{K. Chen} and \textit{J. Savage}, BIT 47, No. 2, 277--296 (2007; Zbl 1120.65078) Full Text: DOI
Landi, G. A fast truncated Lagrange method for large-scale image restoration problems. (English) Zbl 1135.65412 Appl. Math. Comput. 186, No. 2, 1075-1082 (2007). MSC: 65R30 68U10 PDF BibTeX XML Cite \textit{G. Landi}, Appl. Math. Comput. 186, No. 2, 1075--1082 (2007; Zbl 1135.65412) Full Text: DOI
Firsov, D.; Lui, S. H. A fast deblurring algorithm. (English) Zbl 1104.65326 Appl. Math. Comput. 183, No. 1, 285-291 (2006). MSC: 65R20 35R25 35K05 35R30 94A08 45E10 PDF BibTeX XML Cite \textit{D. Firsov} and \textit{S. H. Lui}, Appl. Math. Comput. 183, No. 1, 285--291 (2006; Zbl 1104.65326) Full Text: DOI
Chan, Tony F.; Chen, Ke On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation. (English) Zbl 1096.94003 Numer. Algorithms 41, No. 4, 387-411 (2006). MSC: 94A08 35K57 65K10 90C59 65M55 65M32 65F10 68U10 PDF BibTeX XML Cite \textit{T. F. Chan} and \textit{K. Chen}, Numer. Algorithms 41, No. 4, 387--411 (2006; Zbl 1096.94003) Full Text: DOI
Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals. (English) Zbl 1087.94013 J. Math. Anal. Appl. 316, No. 1, 269-306 (2006). MSC: 94A20 94A12 PDF BibTeX XML Cite \textit{C. Bardaro} et al., J. Math. Anal. Appl. 316, No. 1, 269--306 (2006; Zbl 1087.94013) Full Text: DOI
Landi, Germana; Piccolomini, Elena Loli A total variation regularization strategy in dynamic MRI. (English) Zbl 1082.65066 Optim. Methods Softw. 20, No. 4-5, 545-558 (2005). MSC: 65K10 92C55 49J20 49M25 PDF BibTeX XML Cite \textit{G. Landi} and \textit{E. L. Piccolomini}, Optim. Methods Softw. 20, No. 4--5, 545--558 (2005; Zbl 1082.65066) Full Text: DOI
Ma, Jianwei Towards artifact-free characterization of surface topography using complex wavelets and total variation minimization. (English) Zbl 1103.86001 Appl. Math. Comput. 170, No. 2, 1014-1030 (2005). MSC: 86A30 94A12 PDF BibTeX XML Cite \textit{J. Ma}, Appl. Math. Comput. 170, No. 2, 1014--1030 (2005; Zbl 1103.86001) Full Text: DOI
Kindermann, Stefan; Neubauer, Andreas Regularization for surface representations of discontinuous solutions of linear ill-posed problems. (English) Zbl 0986.65056 Numer. Funct. Anal. Optimization 22, No. 1-2, 79-105 (2001). Reviewer: Peter Reichensperger (Oberasbach) MSC: 65J10 65J15 47J06 65J20 47A52 PDF BibTeX XML Cite \textit{S. Kindermann} and \textit{A. Neubauer}, Numer. Funct. Anal. Optim. 22, No. 1--2, 79--105 (2001; Zbl 0986.65056) Full Text: DOI
Kärkkäinen, T.; Majava, K. Nonmonotone and monotone active-set methods for image restoration. II: Numerical results. (English) Zbl 1050.90033 J. Optimization Theory Appl. 106, No. 1, 81-105 (2000). MSC: 90C90 94A08 PDF BibTeX XML Cite \textit{T. Kärkkäinen} and \textit{K. Majava}, J. Optim. Theory Appl. 106, No. 1, 81--105 (2000; Zbl 1050.90033) Full Text: DOI
Miller, Eric L.; Yavuz, Ibrahim; Nicolaides, Lena; Mandelis, Andreas An adaptive, multiscale inverse scattering approach to photothermal depth profilometry. (English) Zbl 0973.80004 Circuits Syst. Signal Process. 19, No. 4, 339-363 (2000). MSC: 80A23 80M25 PDF BibTeX XML Cite \textit{E. L. Miller} et al., Circuits Syst. Signal Process. 19, No. 4, 339--363 (2000; Zbl 0973.80004) Full Text: DOI
Kamm, Julie; Nagy, James G. Kronecker product and SVD approximations in image restoration. (English) Zbl 0936.65052 Linear Algebra Appl. 284, No. 1-3, 177-192 (1998). Reviewer: G.Jumarie (Montréal) MSC: 65F22 65F10 68U10 PDF BibTeX XML Cite \textit{J. Kamm} and \textit{J. G. Nagy}, Linear Algebra Appl. 284, No. 1--3, 177--192 (1998; Zbl 0936.65052) Full Text: DOI
Hanke, Martin; Nagy, James Inverse Toeplitz preconditioners for ill-posed problems. (English) Zbl 0935.65037 Linear Algebra Appl. 284, No. 1-3, 137-156 (1998). Reviewer: K.Georgiev (Sofia) MSC: 65F22 65F10 65F35 68U10 PDF BibTeX XML Cite \textit{M. Hanke} and \textit{J. Nagy}, Linear Algebra Appl. 284, No. 1--3, 137--156 (1998; Zbl 0935.65037) Full Text: DOI