Budd, Jeremy M.; van Gennip, Yves; Latz, Jonas; Parisotto, Simone; Schönlieb, Carola-Bibiane Joint reconstruction-segmentation on graphs. (English) Zbl 1516.94004 SIAM J. Imaging Sci. 16, No. 2, 911-947 (2023). MSC: 94A08 05C99 34B45 35R02 65F60 PDFBibTeX XMLCite \textit{J. M. Budd} et al., SIAM J. Imaging Sci. 16, No. 2, 911--947 (2023; Zbl 1516.94004) Full Text: DOI arXiv
Chen, Ke (ed.); Schönlieb, Carola-Bibiane (ed.); Tai, Xue-Cheng (ed.); Younes, Laurent (ed.) Handbook of mathematical models and algorithms in computer vision and imaging. Mathematical imaging and vision. (English) Zbl 1527.94003 Springer Reference. Cham: Springer (ISBN 978-3-030-98660-5/hbk; 978-3-030-98661-2/ebook). xxvi, 1984 p. (2023). MSC: 94-06 68-06 94A08 68U10 PDFBibTeX XMLCite \textit{K. Chen} (ed.) et al., Handbook of mathematical models and algorithms in computer vision and imaging. Mathematical imaging and vision. Cham: Springer (2023; Zbl 1527.94003) Full Text: DOI
Chambolle, Antonin; Delplancke, Claire; Ehrhardt, Matthias J.; Schönlieb, Carola-Bibiane; Tang, Junqi Stochastic Primal Dual Hybrid Gradient Algorithm with Adaptive Step-Sizes. arXiv:2301.02511 Preprint, arXiv:2301.02511 [math.OC] (2023). MSC: 47N10 49J40 65D18 65K10 90C06 90C15 90C25 92C55 94A08 BibTeX Cite \textit{A. Chambolle} et al., ``Stochastic Primal Dual Hybrid Gradient Algorithm with Adaptive Step-Sizes'', Preprint, arXiv:2301.02511 [math.OC] (2023) Full Text: arXiv OA License
Riis, Erlend S.; Ehrhardt, Matthias J.; Quispel, G. R. W.; Schönlieb, Carola-Bibiane A geometric integration approach to nonsmooth, nonconvex optimisation. (English) Zbl 1500.65033 Found. Comput. Math. 22, No. 5, 1351-1394 (2022). MSC: 65K05 90C15 90C26 90C56 94A08 PDFBibTeX XMLCite \textit{E. S. Riis} et al., Found. Comput. Math. 22, No. 5, 1351--1394 (2022; Zbl 1500.65033) Full Text: DOI arXiv
Mukherjee, Subhadip; Öktem, Ozan; Schönlieb, Carola-Bibiane Adversarially learned iterative reconstruction for imaging inverse problems. (English) Zbl 1484.68192 Elmoataz, Abderrahim (ed.) et al., Scale space and variational methods in computer vision. 8th international conference, SSVM 2021, virtual event, May 16–20, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12679, 540-552 (2021). MSC: 68T05 65J20 65J22 68U10 92C55 PDFBibTeX XMLCite \textit{S. Mukherjee} et al., Lect. Notes Comput. Sci. 12679, 540--552 (2021; Zbl 1484.68192) Full Text: DOI arXiv
Lunz, Sebastian; Hauptmann, Andreas; Tarvainen, Tanja; Schönlieb, Carola-Bibiane; Arridge, Simon On learned operator correction in inverse problems. (English) Zbl 1474.65182 SIAM J. Imaging Sci. 14, No. 1, 92-127 (2021). MSC: 65K10 65F22 94A08 47A52 68T07 PDFBibTeX XMLCite \textit{S. Lunz} et al., SIAM J. Imaging Sci. 14, No. 1, 92--127 (2021; Zbl 1474.65182) Full Text: DOI arXiv
Schmoderer, Timothée; Aviles-Rivero, Angelica I.; Corona, Veronica; Debroux, Noémie; Schönlieb, Carola-Bibiane Learning optical flow for fast MRI reconstruction. (English) Zbl 07381891 Inverse Probl. 37, No. 9, Article ID 095007, 32 p. (2021). MSC: 68T45 94A08 68U10 PDFBibTeX XMLCite \textit{T. Schmoderer} et al., Inverse Probl. 37, No. 9, Article ID 095007, 32 p. (2021; Zbl 07381891) Full Text: DOI arXiv
Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia Equivariant neural networks for inverse problems. (English) Zbl 07381882 Inverse Probl. 37, No. 8, Article ID 085006, 26 p. (2021). MSC: 68T07 94A08 49Nxx 65Jxx PDFBibTeX XMLCite \textit{E. Celledoni} et al., Inverse Probl. 37, No. 8, Article ID 085006, 26 p. (2021; Zbl 07381882) Full Text: DOI arXiv
Dong, Yiqiu; Schönlieb, Carola-Bibiane Tomographic reconstruction with spatially varying parameter selection. (English) Zbl 1504.68272 Inverse Probl. 36, No. 5, Article ID 054002, 16 p. (2020). MSC: 68U10 49N45 65K10 65R10 92C55 94A08 PDFBibTeX XMLCite \textit{Y. Dong} and \textit{C.-B. Schönlieb}, Inverse Probl. 36, No. 5, Article ID 054002, 16 p. (2020; Zbl 1504.68272) Full Text: DOI arXiv
Lang, Lukas F.; Neumayer, Sebastian; Öktem, Ozan; Schönlieb, Carola-Bibiane Template-based image reconstruction from sparse tomographic data. (English) Zbl 1461.49048 Appl. Math. Optim. 82, No. 3, 1081-1109 (2020). MSC: 49N45 94A08 92C32 PDFBibTeX XMLCite \textit{L. F. Lang} et al., Appl. Math. Optim. 82, No. 3, 1081--1109 (2020; Zbl 1461.49048) Full Text: DOI arXiv
Parisotto, Simone; Lellmann, Jan; Masnou, Simon; Schönlieb, Carola-Bibiane Higher-order total directional variation: imaging applications. (English) Zbl 07292249 SIAM J. Imaging Sci. 13, No. 4, 2063-2104 (2020). MSC: 47A52 49M30 49N45 65J22 94A08 PDFBibTeX XMLCite \textit{S. Parisotto} et al., SIAM J. Imaging Sci. 13, No. 4, 2063--2104 (2020; Zbl 07292249) Full Text: DOI arXiv
Hocking, L. Robert; Holding, Thomas; Schönlieb, Carola-Bibiane Analysis of artifacts in shell-based image inpainting: why they occur and how to eliminate them. (English) Zbl 1500.94003 Found. Comput. Math. 20, No. 6, 1549-1651 (2020). MSC: 94A08 65M12 65F10 60G50 60G40 35F15 60G42 65M15 35Q94 PDFBibTeX XMLCite \textit{L. R. Hocking} et al., Found. Comput. Math. 20, No. 6, 1549--1651 (2020; Zbl 1500.94003) Full Text: DOI Backlinks: MO
Parisotto, Simone; Masnou, Simon; Schönlieb, Carola-Bibiane Higher-order total directional variation: analysis. (English) Zbl 1444.47020 SIAM J. Imaging Sci. 13, No. 1, 474-496 (2020). Reviewer: Denis Sidorov (Irkutsk) MSC: 47A52 49N45 65J22 94A08 PDFBibTeX XMLCite \textit{S. Parisotto} et al., SIAM J. Imaging Sci. 13, No. 1, 474--496 (2020; Zbl 1444.47020) Full Text: DOI arXiv
Debroux, Noémie; Aston, John; Bonardi, Fabien; Forbes, Alistair; Guyader, Carole Le; Romanchikova, Marina; Schönlieb, Carola-Bibiane A variational model dedicated to joint segmentation, registration, and atlas generation for shape analysis. (English) Zbl 07196107 SIAM J. Imaging Sci. 13, No. 1, 351-380 (2020). MSC: 65D18 41A15 49-XX 62H25 94A08 PDFBibTeX XMLCite \textit{N. Debroux} et al., SIAM J. Imaging Sci. 13, No. 1, 351--380 (2020; Zbl 07196107) Full Text: DOI arXiv
Buet, Blanche; Mirebeau, Jean-Marie; van Gennip, Yves; Desquilbet, François; Dreo, Johann; Barbaresco, Frédéric; Leonardi, Gian Paolo; Masnou, Simon; Schönlieb, Carola-Bibiane Partial differential equations and variational methods for geometric processing of images. (English) Zbl 1476.49007 SMAI J. Comput. Math. S5, 109-128 (2019). Reviewer: Yekini Shehu (Nsukka) MSC: 49J20 49J35 68U10 PDFBibTeX XMLCite \textit{B. Buet} et al., SMAI J. Comput. Math. S5, 109--128 (2019; Zbl 1476.49007) 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 1454.94012 SIAM J. Sci. Comput. 41, No. 6, B1310-B1340 (2019). MSC: 94A08 52A41 65D15 68W40 90C25 90C90 PDFBibTeX XMLCite \textit{X. Cai} et al., SIAM J. Sci. Comput. 41, No. 6, B1310--B1340 (2019; Zbl 1454.94012) Full Text: DOI arXiv
Arridge, Simon; Maass, Peter; Öktem, Ozan; Schönlieb, Carola-Bibiane Solving inverse problems using data-driven models. (English) Zbl 1429.65116 Acta Numerica 28, 1-174 (2019). MSC: 65J20 65J22 94A08 65-02 PDFBibTeX XMLCite \textit{S. Arridge} et al., Acta Numerica 28, 1--174 (2019; Zbl 1429.65116) Full Text: DOI
Corona, Veronica; Benning, Martin; Ehrhardt, Matthias J.; Gladden, Lynn F.; Mair, Richard; Reci, Andi; Sederman, Andrew J.; Reichelt, Stefanie; Schönlieb, Carola-Bibiane Enhancing joint reconstruction and segmentation with non-convex Bregman iteration. (English) Zbl 1448.94008 Inverse Probl. 35, No. 5, Article ID 055001, 34 p. (2019). MSC: 94A08 PDFBibTeX XMLCite \textit{V. Corona} et al., Inverse Probl. 35, No. 5, Article ID 055001, 34 p. (2019; Zbl 1448.94008) Full Text: DOI arXiv
Parisotto, Simone; Calatroni, Luca; Caliari, Marco; Schönlieb, Carola-Bibiane; Weickert, Joachim Anisotropic osmosis filtering for shadow removal in images. (English) Zbl 1448.94030 Inverse Probl. 35, No. 5, Article ID 054001, 23 p. (2019). MSC: 94A08 PDFBibTeX XMLCite \textit{S. Parisotto} et al., Inverse Probl. 35, No. 5, Article ID 054001, 23 p. (2019; Zbl 1448.94030) Full Text: DOI arXiv
Burger, Martin; Korolev, Yury; Parisotto, Simone; Schönlieb, Carola-Bibiane Total Variation Regularisation with Spatially Variable Lipschitz Constraints. arXiv:1912.02768 Preprint, arXiv:1912.02768 [math.NA] (2019). MSC: 65J20 65J22 68U10 94A08 BibTeX Cite \textit{M. Burger} et al., ``Total Variation Regularisation with Spatially Variable Lipschitz Constraints'', Preprint, arXiv:1912.02768 [math.NA] (2019) Full Text: arXiv OA License
Liu, Pan; Schönlieb, Carola-Bibiane Learning optimal orders of the underlying Euclidean norm in total variation image denoising. arXiv:1903.11953 Preprint, arXiv:1903.11953 [math.AP] (2019). MSC: 26B30 94A08 47J20 BibTeX Cite \textit{P. Liu} and \textit{C.-B. Schönlieb}, ``Learning optimal orders of the underlying Euclidean norm in total variation image denoising'', Preprint, arXiv:1903.11953 [math.AP] (2019) Full Text: arXiv OA License
Chambolle, Antonin; Ehrhardt, Matthias J.; Richtárik, Peter; Schönlieb, Carola-Bibiane Stochastic primal-dual hybrid gradient algorithm with arbitrary sampling and imaging applications. (English) Zbl 06951767 SIAM J. Optim. 28, No. 4, 2783-2808 (2018). MSC: 65D18 65K10 74S60 90C25 90C15 92C55 94A08 PDFBibTeX XMLCite \textit{A. Chambolle} et al., SIAM J. Optim. 28, No. 4, 2783--2808 (2018; Zbl 06951767) Full Text: DOI arXiv
Burger, Martin; Dirks, Hendrik; Schönlieb, Carola-Bibiane A variational model for joint motion estimation and image reconstruction. (English) Zbl 1437.94009 SIAM J. Imaging Sci. 11, No. 1, 94-128 (2018). MSC: 94A08 65K10 68U10 PDFBibTeX XMLCite \textit{M. Burger} et al., SIAM J. Imaging Sci. 11, No. 1, 94--128 (2018; Zbl 1437.94009) Full Text: DOI arXiv
Bungert, Leon; Coomes, David A.; Ehrhardt, Matthias J.; Rasch, Jennifer; Reisenhofer, Rafael; Schönlieb, Carola-Bibiane Blind image fusion for hyperspectral imaging with the directional total variation. (English) Zbl 1481.94009 Inverse Probl. 34, No. 4, Article ID 044003, 23 p. (2018). MSC: 94A08 68U10 PDFBibTeX XMLCite \textit{L. Bungert} et al., Inverse Probl. 34, No. 4, Article ID 044003, 23 p. (2018; Zbl 1481.94009) Full Text: DOI arXiv
Benning, Martin; Gilboa, Guy; Grah, Joana Sarah; Schönlieb, Carola-Bibiane Learning filter functions in regularisers by minimising quotients. (English) Zbl 1489.68218 Lauze, François (ed.) et al., Scale space and variational methods in computer vision. 6th international conference, SSVM 2017, Kolding, Denmark, June 4–8, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10302, 511-523 (2017). MSC: 68T05 49N45 49N60 94A08 PDFBibTeX XMLCite \textit{M. Benning} et al., Lect. Notes Comput. Sci. 10302, 511--523 (2017; Zbl 1489.68218) Full Text: DOI arXiv
Calatroni, Luca; Cao, Chung; de los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane; Vakonen, Tuomo Bilevel approaches for learning of variational imaging models. (English) Zbl 1468.94014 Bergounioux, Maïtine (ed.) et al., Variational methods. In imaging and geometric control. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 18, 254-290 (2017). MSC: 94A08 49J40 68T05 68U10 90C53 68P15 PDFBibTeX XMLCite \textit{L. Calatroni} et al., Radon Ser. Comput. Appl. Math. 18, 254--290 (2017; Zbl 1468.94014) Full Text: arXiv
Hocking, L. Robert; MacKenzie, Russell; Schönlieb, Carola-Bibiane Guidefill: GPU accelerated, artist guided geometric inpainting for 3D conversion of film. (English) Zbl 1451.94009 SIAM J. Imaging Sci. 10, No. 4, 2049-2090 (2017). MSC: 94A08 65D07 65Y10 68U10 68W10 PDFBibTeX XMLCite \textit{L. R. Hocking} et al., SIAM J. Imaging Sci. 10, No. 4, 2049--2090 (2017; Zbl 1451.94009) Full Text: DOI arXiv
De los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. Bilevel parameter learning for higher-order total variation regularisation models. (English) Zbl 1425.94010 J. Math. Imaging Vis. 57, No. 1, 1-25 (2017). MSC: 94A08 68U10 PDFBibTeX XMLCite \textit{J. C. De los Reyes} et al., J. Math. Imaging Vis. 57, No. 1, 1--25 (2017; Zbl 1425.94010) Full Text: DOI arXiv
van Gennip, Yves (ed.); Schönlieb, Carola-Bibiane (ed.) Introduction: Big data and partial differential equations. (English) Zbl 1386.35008 Eur. J. Appl. Math. 28, No. 6, 877-885 (2017). MSC: 35A99 49J45 65N75 68T05 68U10 PDFBibTeX XMLCite \textit{Y. van Gennip} (ed.) and \textit{C.-B. Schönlieb} (ed.), Eur. J. Appl. Math. 28, No. 6, 877--885 (2017; Zbl 1386.35008) Full Text: DOI
Calatroni, Luca; De Los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane Infimal convolution of data discrepancies for mixed noise removal. (English) Zbl 1412.94005 SIAM J. Imaging Sci. 10, No. 3, 1196-1233 (2017). MSC: 94A08 49M15 65K10 PDFBibTeX XMLCite \textit{L. Calatroni} et al., SIAM J. Imaging Sci. 10, No. 3, 1196--1233 (2017; Zbl 1412.94005) Full Text: DOI arXiv
Calatroni, Luca; van Gennip, Yves; Schönlieb, Carola-Bibiane; Rowland, Hannah M.; Flenner, Arjuna Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images. (English) Zbl 1369.94019 J. Math. Imaging Vis. 57, No. 2, 269-291 (2017). MSC: 94A08 68U10 PDFBibTeX XMLCite \textit{L. Calatroni} et al., J. Math. Imaging Vis. 57, No. 2, 269--291 (2017; Zbl 1369.94019) Full Text: DOI arXiv
Grimm, V.; McLachlan, Robert I.; McLaren, David I.; Quispel, G. R. W.; Schönlieb, C.-B. Discrete gradient methods for solving variational image regularisation models. (English) Zbl 1371.94146 J. Phys. A, Math. Theor. 50, No. 29, Article ID 295201, 21 p. (2017). MSC: 94A08 49S05 PDFBibTeX XMLCite \textit{V. Grimm} et al., J. Phys. A, Math. Theor. 50, No. 29, Article ID 295201, 21 p. (2017; Zbl 1371.94146) Full Text: DOI Link
van Chung, Cao; De Los Reyes, J. C.; Schönlieb, C. B. Learning optimal spatially-dependent regularization parameters in total variation image denoising. (English) Zbl 1371.49018 Inverse Probl. 33, No. 7, Article ID 074005, 31 p. (2017). MSC: 49K20 49M15 94A08 68U10 65K10 90C53 PDFBibTeX XMLCite \textit{C. van Chung} et al., Inverse Probl. 33, No. 7, Article ID 074005, 31 p. (2017; Zbl 1371.49018) Full Text: DOI arXiv Link
Hocking, L. Robert; Holding, Thomas; Schoenlieb, Carola-Bibiane Numerical analysis of shell-based geometric image inpainting algorithms and their semi-implicit extension. arXiv:1707.09713 Preprint, arXiv:1707.09713 [math.NA] (2017). MSC: 68U10 65M12 65M15 65F10 60G50 60G40 35F15 60G42 65M15 35Q68 BibTeX Cite \textit{L. R. Hocking} et al., ``Numerical analysis of shell-based geometric image inpainting algorithms and their semi-implicit extension'', Preprint, arXiv:1707.09713 [math.NA] (2017) Full Text: arXiv OA License
Burger, Martin; Papafitsoros, Konstantinos; Papoutsellis, Evangelos; Schönlieb, Carola-Bibiane Infimal convolution regularisation functionals of BV and \(\mathrm{L}^p\) spaces. I: The finite \(p\) case. (English) Zbl 1342.49014 J. Math. Imaging Vis. 55, No. 3, 343-369 (2016). MSC: 49J45 49M30 68U10 94A08 PDFBibTeX XMLCite \textit{M. Burger} et al., J. Math. Imaging Vis. 55, No. 3, 343--369 (2016; Zbl 1342.49014) Full Text: DOI arXiv
De Los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. The structure of optimal parameters for image restoration problems. (English) Zbl 1327.49063 J. Math. Anal. Appl. 434, No. 1, 464-500 (2016). MSC: 49N45 49J45 94A08 PDFBibTeX XMLCite \textit{J. C. De Los Reyes} et al., J. Math. Anal. Appl. 434, No. 1, 464--500 (2016; Zbl 1327.49063) Full Text: DOI arXiv
Grimm, V; McLachlan, R I; McLaren, D; Quispel, G R W; Schönlieb, C-B The use of discrete gradient methods for total variation type regularization problems in image processing. arXiv:1603.07515 Preprint, arXiv:1603.07515 [math.NA] (2016). MSC: 94A08 37N30 65D18 BibTeX Cite \textit{V Grimm} et al., ``The use of discrete gradient methods for total variation type regularization problems in image processing'', Preprint, arXiv:1603.07515 [math.NA] (2016) Full Text: arXiv OA License
Moeller, Michael; Benning, Martin; Schönlieb, Carola; Cremers, Daniel Variational depth from focus reconstruction. (English) Zbl 1408.94486 IEEE Trans. Image Process. 24, No. 12, 5369-5378 (2015). MSC: 94A08 PDFBibTeX XMLCite \textit{M. Moeller} et al., IEEE Trans. Image Process. 24, No. 12, 5369--5378 (2015; Zbl 1408.94486) Full Text: DOI arXiv
Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan A generalized model for optimal transport of images including dissipation and density modulation. (English) Zbl 1348.94009 ESAIM, Math. Model. Numer. Anal. 49, No. 6, 1745-1769 (2015). MSC: 94A08 49Q20 65K10 PDFBibTeX XMLCite \textit{J. Maas} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 6, 1745--1769 (2015; Zbl 1348.94009) Full Text: DOI arXiv
Schönlieb, Carola-Bibiane Partial differential equation methods for image inpainting. (English) Zbl 1335.94002 Cambridge Monographs on Applied and Computational Mathematics 29. Cambridge: Cambridge University Press (ISBN 978-1-107-00100-8/hbk; 978-0-511-73430-4/ebook). x, 254 p. (2015). MSC: 94-02 35-02 94A08 68U10 PDFBibTeX XMLCite \textit{C.-B. Schönlieb}, Partial differential equation methods for image inpainting. Cambridge: Cambridge University Press (2015; Zbl 1335.94002) Full Text: DOI
Lellmann, Jan; Papafitsoros, Konstantinos; Schönlieb, Carola; Spector, Daniel Analysis and application of a nonlocal Hessian. (English) Zbl 1330.94010 SIAM J. Imaging Sci. 8, No. 4, 2161-2202 (2015). MSC: 94A08 65D18 68U10 26B30 26B35 35A15 49J45 49N45 49J40 49Q20 PDFBibTeX XMLCite \textit{J. Lellmann} et al., SIAM J. Imaging Sci. 8, No. 4, 2161--2202 (2015; Zbl 1330.94010) Full Text: DOI arXiv
Calatroni, Luca; De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane Dynamic sampling schemes for optimal noise learning under multiple nonsmooth constraints. (English) Zbl 1333.94008 Pötzsche, Christian (ed.) et al., System modeling and optimization. 26th IFIP TC 7 conference, CSMO 2013, Klagenfurt, Austria, September 9–13, 2013. Revised selected papers. Heidelberg: Springer (ISBN 978-3-662-45503-6/hbk; 978-3-662-45504-3/ebook). IFIP Advances in Information and Communication Technology 443, 85-95 (2014). MSC: 94A08 65K10 68U10 PDFBibTeX XMLCite \textit{L. Calatroni} et al., IFIP Adv. Inf. Commun. Technol. 443, 85--95 (2014; Zbl 1333.94008) Full Text: DOI arXiv
Lellmann, Jan; Lorenz, Dirk A.; Schönlieb, Carola; Valkonen, Tuomo Imaging with Kantorovich-Rubinstein discrepancy. (English) Zbl 1308.49043 SIAM J. Imaging Sci. 7, No. 4, 2833-2859 (2014). MSC: 49Q20 94A08 PDFBibTeX XMLCite \textit{J. Lellmann} et al., SIAM J. Imaging Sci. 7, No. 4, 2833--2859 (2014; Zbl 1308.49043) Full Text: DOI arXiv
Papafitsoros, K.; Schönlieb, C. B. A combined first and second order variational approach for image reconstruction. (English) Zbl 1362.94009 J. Math. Imaging Vis. 48, No. 2, 308-338 (2014). MSC: 94A08 49N90 PDFBibTeX XMLCite \textit{K. Papafitsoros} and \textit{C. B. Schönlieb}, J. Math. Imaging Vis. 48, No. 2, 308--338 (2014; Zbl 1362.94009) Full Text: DOI arXiv
Calatroni, Luca; Düring, Bertram; Schönlieb, Carola-Bibiane ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing. (English) Zbl 1279.65096 Discrete Contin. Dyn. Syst. 34, No. 3, 931-957 (2014). MSC: 65M06 35K55 65M12 PDFBibTeX XMLCite \textit{L. Calatroni} et al., Discrete Contin. Dyn. Syst. 34, No. 3, 931--957 (2014; Zbl 1279.65096) Full Text: DOI arXiv
Benning, Martin; Calatroni, Luca; Düring, Bertram; Schönlieb, Carola-Bibiane A primal-dual approach for a total variation Wasserstein flow. (English) Zbl 1286.94012 Nielsen, Frank (ed.) et al., Geometric science of information. First international conference, GSI 2013, Paris, France, August 28–30, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40019-3/pbk). Lecture Notes in Computer Science 8085, 413-421 (2013). MSC: 94A08 94A12 90C90 68U10 PDFBibTeX XMLCite \textit{M. Benning} et al., Lect. Notes Comput. Sci. 8085, 413--421 (2013; Zbl 1286.94012) Full Text: DOI arXiv
De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane Image denoising: learning the noise model via nonsmooth PDE-constrained optimization. (English) Zbl 1283.49005 Inverse Probl. Imaging 7, No. 4, 1183-1214 (2013). MSC: 49M15 94A08 68U10 65K10 90C53 PDFBibTeX XMLCite \textit{J. C. De los Reyes} and \textit{C.-B. Schönlieb}, Inverse Probl. Imaging 7, No. 4, 1183--1214 (2013; Zbl 1283.49005) Full Text: DOI arXiv
Langer, Andreas; Osher, Stanley; Schönlieb, Carola-Bibiane Bregmanized domain decomposition for image restoration. (English) Zbl 1308.94020 J. Sci. Comput. 54, No. 2-3, 549-576 (2013). MSC: 94A08 65K10 PDFBibTeX XMLCite \textit{A. Langer} et al., J. Sci. Comput. 54, No. 2--3, 549--576 (2013; Zbl 1308.94020) Full Text: DOI
Schönlieb, Carola-Bibiane; Bertozzi, Andrea Unconditionally stable schemes for higher order inpainting. (English) Zbl 1216.94016 Commun. Math. Sci. 9, No. 2, 413-457 (2011). MSC: 94A08 35G25 34K28 49M25 65M06 PDFBibTeX XMLCite \textit{C.-B. Schönlieb} and \textit{A. Bertozzi}, Commun. Math. Sci. 9, No. 2, 413--457 (2011; Zbl 1216.94016) Full Text: DOI Euclid
Fornasier, Massimo; Schönlieb, Carola-Bibiane Subspace correction methods for total variation and \(\ell_1\)-minimization. (English) Zbl 1203.65098 SIAM J. Numer. Anal. 47, No. 5, 3397-3428 (2009). Reviewer: Hang Lau (Montréal) MSC: 65K10 65Y05 49M27 49J27 94A08 94A12 PDFBibTeX XMLCite \textit{M. Fornasier} and \textit{C.-B. Schönlieb}, SIAM J. Numer. Anal. 47, No. 5, 3397--3428 (2009; Zbl 1203.65098) Full Text: DOI arXiv
Burger, Martin; He, Lin; Schönlieb, Carola-Bibiane Cahn-Hilliard inpainting and a generalization for grayvalue images. (English) Zbl 1180.49007 SIAM J. Imaging Sci. 2, No. 4, 1129-1167 (2009). MSC: 49J40 94A08 49J20 35J70 PDFBibTeX XMLCite \textit{M. Burger} et al., SIAM J. Imaging Sci. 2, No. 4, 1129--1167 (2009; Zbl 1180.49007) Full Text: DOI
Schönlieb, Carola-Bibiane Total variation minimization with an \(H^{-1}\) constraint. (English) Zbl 1178.65072 Novaga, Matteo (ed.) et al., Singularities in nonlinear evolution phenomena and applications. Proceedings of the workshop, Pisa, Italy, May 2008. Pisa: Edizioni della Normale (ISBN 978-88-7642-343-7/pbk). Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie) 9, 201-234 (2009). MSC: 65K10 68U10 49J20 94A08 49M25 PDFBibTeX XMLCite \textit{C.-B. Schönlieb}, CRM Ser. (N.S.) 9, 201--234 (2009; Zbl 1178.65072)
Fornasier, Massimo; Langer, Andreas; Schönlieb, Carola-Bibiane Domain decomposition methods for compressed sensing. arXiv:0902.0124 Preprint, arXiv:0902.0124 [math.NA] (2009). MSC: 65K10 65N55 65N21 65Y05 90C25 52A41 49M30 49M27 68U10 BibTeX Cite \textit{M. Fornasier} et al., ``Domain decomposition methods for compressed sensing'', Preprint, arXiv:0902.0124 [math.NA] (2009) Full Text: arXiv OA License