Edit Profile (opens in new tab) Schönlieb, Carola-Bibiane Compute Distance To: Compute Author ID: schonlieb.carola-bibiane Published as: Schönlieb, Carola-Bibiane; Schönlieb, Carola; Schönlieb, C.-B.; Schönlieb, C. B.; Schonlieb, C.-B. more...less Homepage: http://www.damtp.cam.ac.uk/user/cbs31/Home.html External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 78 Publications since 2008, including 1 Book 6 Contributions as Editor Biographic References: 1 Publication Co-Authors: 143 Co-Authors with 82 Joint Publications 3,192 Co-Co-Authors all top 5 Co-Authors 2 single-authored 11 Benning, Martin 9 Ehrhardt, Matthias Joachim 8 Burger, Martin 8 Calatroni, Luca 8 De los Reyes, Juan Carlos 7 Düring, Bertram 5 Arridge, Simon R. 5 Öktem, Ozan 4 Liang, Jingwei 4 Parisotto, Simone 3 Aviles-Rivero, Angelica I. 3 Celledoni, Elena 3 Corona, Veronica 3 Driggs, Derek 3 Fornasier, Massimo 3 Kreusser, Lisa Maria 3 Langer, Andreas 3 Lellmann, Jan 3 Maass, Peter 3 Masnou, Simon 3 Owren, Brynjulf 3 Papafitsoros, Konstantinos 3 Rossi, Julio Daniel 3 Valkonen, Tuomo 3 Van Gennip, Yves 2 Bungert, Leon 2 Collins, Sean M. 2 Debroux, Noémie 2 Etmann, Christian 2 Fernández Bonder, Julián 2 Gladden, Lynn F. 2 Hocking, L. Robert 2 Korolev, Yury M. 2 Lang, Lukas F. 2 Lunz, Sebastian 2 Markowich, Peter Alexander 2 McLachlan, Robert I. 2 Midgley, Paul A. 2 Papoutsellis, Evangelos 2 Quispel, Gilles Reinout Willem 2 Reci, Andi 2 Riis, Erlend Skaldehaug 2 Sederman, Andrew J. 2 Sherry, Ferdia 2 Tovey, Robert 1 Adler, Jonas 1 Aston, John A. D. 1 Barbaresco, Frédéric 1 Bertozzi, Andrea Louise 1 Betcke, Marta M. 1 Bonardi, Fabien 1 Boulanger, Jérôme 1 Brune, Christoph 1 Buet, Blanche 1 Bugeau, Aurélie 1 Cai, Xiaohao 1 Caliari, Marco 1 Cao, Chung 1 Carrillo de la Plata, José Antonio 1 Chambolle, Antonin 1 Chan, Raymond Hon-Fu 1 Chen, Dongdong 1 Chu, Shun-Yin 1 Chung, Cao Van 1 Coomes, David A. 1 Cremers, Daniel 1 Davies, Mike E. 1 de Hoop, Maarten V. 1 Desquilbet, François 1 Diepeveen, Willem 1 Dirks, Hendrik Meinert 1 Dong, Yiqiu 1 Dréo, Johann 1 Dutta, Nilankur 1 Esteve-Yagüe, Carlos 1 Étienne, Jocelyn 1 Fan, Qingnan 1 Flenner, Arjuna 1 Foged Schmidt, Marie 1 Forbes, Alistair B. 1 Franek, Marzena Magdalene 1 Fu, Ying 1 Gilboa, Guy 1 Gottschlich, Carsten 1 Grah, Joana Sarah 1 Grimm, Volker 1 Haber, Eldad 1 Hauptmann, Andreas 1 He, Lin 1 Heydecker, Daniel 1 Hintermüller, Michael 1 Holding, Thomas 1 Huang, Hua 1 Huckemann, Stephan F. 1 Johnstone, Duncan N. 1 Lagerwerf, Marinus J. 1 Lazić, Jasmina 1 Le Guyader, Carole 1 Leary, Rowan K. 1 Lenz, Martin O. ...and 43 more Co-Authors all top 5 Serials 16 Inverse Problems 14 SIAM Journal on Imaging Sciences 6 Journal of Mathematical Imaging and Vision 3 IEEE Transactions on Image Processing 2 European Journal of Applied Mathematics 2 SIAM Journal on Scientific Computing 2 Foundations of Computational Mathematics 2 Journal of Machine Learning Research (JMLR) 2 Communications in Mathematical Sciences 2 Oberwolfach Reports 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Applied Mathematics and Optimization 1 Illinois Journal of Mathematics 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Discrete and Continuous Dynamical Systems 1 Communications in Contemporary Mathematics 1 AMRX. Applied Mathematics Research eXpress 1 SIAM Journal on Applied Dynamical Systems 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Cambridge Monographs on Applied and Computational Mathematics 1 Journal of Mathematics and the Arts 1 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems and Imaging 1 Journal of Computational Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 SMAI Journal of Computational Mathematics all top 5 Fields 46 Information and communication theory, circuits (94-XX) 41 Numerical analysis (65-XX) 34 Computer science (68-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 17 Partial differential equations (35-XX) 15 Operations research, mathematical programming (90-XX) 10 Biology and other natural sciences (92-XX) 6 General and overarching topics; collections (00-XX) 6 Statistics (62-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 674 times in 459 Documents Cited by ▼ Year ▼ A combined first and second order variational approach for image reconstruction. Zbl 1362.94009Papafitsoros, K.; Schönlieb, C. B. 80 2014 Cahn-Hilliard inpainting and a generalization for grayvalue images. Zbl 1180.49007Burger, Martin; He, Lin; Schönlieb, Carola-Bibiane 59 2009 Solving inverse problems using data-driven models. Zbl 1429.65116Arridge, Simon; Maass, Peter; Öktem, Ozan; Schönlieb, Carola-Bibiane 48 2019 Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016Schönlieb, Carola-Bibiane; Bertozzi, Andrea 37 2011 Image denoising: learning the noise model via nonsmooth PDE-constrained optimization. Zbl 1283.49005De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane 30 2013 Subspace correction methods for total variation and \(\ell_1\)-minimization. Zbl 1203.65098Fornasier, Massimo; Schönlieb, Carola-Bibiane 29 2009 Stochastic primal-dual hybrid gradient algorithm with arbitrary sampling and imaging applications. Zbl 06951767Chambolle, Antonin; Ehrhardt, Matthias J.; Richtárik, Peter; Schönlieb, Carola-Bibiane 28 2018 Bilevel parameter learning for higher-order total variation regularisation models. Zbl 1425.94010De los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. 28 2017 Imaging with Kantorovich-Rubinstein discrepancy. Zbl 1308.49043Lellmann, Jan; Lorenz, Dirk A.; Schönlieb, Carola; Valkonen, Tuomo 27 2014 A convergent overlapping domain decomposition method for total variation minimization. Zbl 1206.65170Fornasier, Massimo; Langer, Andreas; Schönlieb, Carola-Bibiane 25 2010 Infimal convolution of data discrepancies for mixed noise removal. Zbl 1412.94005Calatroni, Luca; De Los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane 19 2017 A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan 18 2015 The structure of optimal parameters for image restoration problems. Zbl 1327.49063De Los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. 17 2016 A variational model for joint motion estimation and image reconstruction. Zbl 1437.94009Burger, Martin; Dirks, Hendrik; Schönlieb, Carola-Bibiane 13 2018 Bregmanized domain decomposition for image restoration. Zbl 1308.94020Langer, Andreas; Osher, Stanley; Schönlieb, Carola-Bibiane 12 2013 Total variation regularization in measurement and image space for PET reconstruction. Zbl 1308.65214Burger, M.; Müller, J.; Papoutsellis, E.; Schönlieb, C. B. 11 2014 Partial differential equation methods for image inpainting. Zbl 1335.94002Schönlieb, Carola-Bibiane 11 2015 Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images. Zbl 1369.94019Calatroni, Luca; van Gennip, Yves; Schönlieb, Carola-Bibiane; Rowland, Hannah M.; Flenner, Arjuna 11 2017 Bilevel approaches for learning of variational imaging models. Zbl 1468.94014Calatroni, Luca; Cao, Chung; de los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane; Vakonen, Tuomo 10 2017 Learning optimal spatially-dependent regularization parameters in total variation image denoising. Zbl 1371.49018van Chung, Cao; De Los Reyes, J. C.; Schönlieb, C. B. 10 2017 Infimal convolution regularisation functionals of BV and \(\mathrm{L}^p\) spaces. I: The finite \(p\) case. Zbl 1342.49014Burger, Martin; Papafitsoros, Konstantinos; Papoutsellis, Evangelos; Schönlieb, Carola-Bibiane 10 2016 Regularized regression and density estimation based on optimal transport. Zbl 1318.62122Burger, Martin; Franek, Marzena; Schönlieb, Carola-Bibiane 10 2012 Directional sinogram inpainting for limited angle tomography. Zbl 1407.92074Tovey, Robert; Benning, Martin; Brune, Christoph; Lagerwerf, Marinus J.; Collins, Sean M.; Leary, Rowan K.; Midgley, Paul A.; Schönlieb, Carola-Bibiane 8 2019 Linkage between piecewise constant Mumford-Shah model and Rudin-Osher-Fatemi model and its virtue in image segmentation. Zbl 1454.94012Cai, Xiaohao; Chan, Raymond; Schönlieb, Carola-Bibiane; Steidl, Gabriele; Zeng, Tieyong 8 2019 Analysis and application of a nonlocal Hessian. Zbl 1330.94010Lellmann, Jan; Papafitsoros, Konstantinos; Schönlieb, Carola; Spector, Daniel 7 2015 Pattern formation of a nonlocal, anisotropic interaction model. Zbl 1383.35024Burger, Martin; Düring, Bertram; Kreusser, Lisa Maria; Markowich, Peter A.; Schönlieb, Carola-Bibiane 7 2018 Deep learning as optimal control problems: models and numerical methods. Zbl 1429.68249Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane 7 2019 Discrete gradient methods for solving variational image regularisation models. Zbl 1371.94146Grimm, V.; McLachlan, Robert I.; McLaren, David I.; Quispel, G. R. W.; Schönlieb, C.-B. 7 2017 Wavelet decomposition method for \(L_2\)/TV-image deblurring. Zbl 1259.65101Fornasier, M.; Kim, Y.; Langer, A.; Schönlieb, C.-B. 6 2012 Dynamic sampling schemes for optimal noise learning under multiple nonsmooth constraints. Zbl 1333.94008Calatroni, Luca; De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane 5 2014 Variational image regularization with Euler’s elastica using a discrete gradient scheme. Zbl 1426.49031Ringholm, Torbjørn; Lazić, Jasmina; Schönlieb, Carola-Bibiane 5 2018 ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing. Zbl 1279.65096Calatroni, Luca; Düring, Bertram; Schönlieb, Carola-Bibiane 5 2014 Variational depth from focus reconstruction. Zbl 1408.94486Moeller, Michael; Benning, Martin; Schönlieb, Carola; Cremers, Daniel 4 2015 Variational regularisation for inverse problems with imperfect forward operators and general noise models. Zbl 1454.49037Bungert, Leon; Burger, Martin; Korolev, Yury; Schönlieb, Carola-Bibiane 4 2020 Higher-order total directional variation: analysis. Zbl 1444.47020Parisotto, Simone; Masnou, Simon; Schönlieb, Carola-Bibiane 4 2020 Inverse scale space decomposition. Zbl 1468.62352Foged Schmidt, Marie; Benning, Martin; Schönlieb, Carola-Bibiane 4 2018 Structure-preserving deep learning. Zbl 07440570Celledoni, E.; Ehrhardt, M. J.; Etmann, C.; McLachlan, R. I.; Owren, B.; Schonlieb, C.-B.; Sherry, F. 4 2021 A primal-dual approach for a total variation Wasserstein flow. Zbl 1286.94012Benning, Martin; Calatroni, Luca; Düring, Bertram; Schönlieb, Carola-Bibiane 3 2013 Total variation minimization with an \(H^{-1}\) constraint. Zbl 1178.65072Schönlieb, Carola-Bibiane 3 2009 A variational model dedicated to joint segmentation, registration, and atlas generation for shape analysis. Zbl 07196107Debroux, Noémie; Aston, John; Bonardi, Fabien; Forbes, Alistair; Guyader, Carole Le; Romanchikova, Marina; Schönlieb, Carola-Bibiane 3 2020 Stability analysis of line patterns of an anisotropic interaction model. Zbl 1430.35026Carrillo, José A.; Düring, Bertram; Kreusser, Lisa Maria; Schönlieb, Carola-Bibiane 3 2019 The Willmore functional and instabilities in the Cahn-Hilliard equation. Zbl 1154.35009Burger, Martin; Chu, Shun-Yin; Markowich, Peter A.; Schönlieb, Carola-Bibiane 3 2008 An anisotropic interaction model for simulating fingerprints. Zbl 1420.35436Düring, Bertram; Gottschlich, Carsten; Huckemann, Stephan; Kreusser, Lisa Maria; Schönlieb, Carola-Bibiane 3 2019 Enhancing joint reconstruction and segmentation with non-convex Bregman iteration. Zbl 1448.94008Corona, Veronica; Benning, Martin; Ehrhardt, Matthias J.; Gladden, Lynn F.; Mair, Richard; Reci, Andi; Sederman, Andrew J.; Reichelt, Stefanie; Schönlieb, Carola-Bibiane 3 2019 Blind image fusion for hyperspectral imaging with the directional total variation. Zbl 1481.94009Bungert, Leon; Coomes, David A.; Ehrhardt, Matthias J.; Rasch, Jennifer; Reisenhofer, Rafael; Schönlieb, Carola-Bibiane 3 2018 On learned operator correction in inverse problems. Zbl 1474.65182Lunz, Sebastian; Hauptmann, Andreas; Tarvainen, Tanja; Schönlieb, Carola-Bibiane; Arridge, Simon 3 2021 The best constant and extremals of the Sobolev embeddings in domains with holes: the \(L^{\infty }\) case. Zbl 1181.49006Bonder, Julián Fernández; Rossi, Julio D.; Schönlieb, Carola-Bibiane 2 2008 Anisotropic osmosis filtering for shadow removal in images. Zbl 1448.94030Parisotto, Simone; Calatroni, Luca; Caliari, Marco; Schönlieb, Carola-Bibiane; Weickert, Joachim 2 2019 A high-contrast fourth-order PDE from imaging: numerical solution by ADI splitting. Zbl 1270.65046Düring, Bertram; Schönlieb, Carola-Bibiane 2 2012 Nonlocal higher order evolution equations. Zbl 1191.35063Rossi, Julio D.; Schönlieb, Carola-Bibiane 2 2010 Improving “fast iterative shrinkage-thresholding algorithm”: faster, smarter, and greedier. Zbl 1492.65163Liang, Jingwei; Luo, Tao; Schönlieb, Carola-Bibiane 2 2022 Analysis of artifacts in shell-based image inpainting: why they occur and how to eliminate them. Zbl 1500.94003Hocking, L. Robert; Holding, Thomas; Schönlieb, Carola-Bibiane 1 2020 Higher-order total directional variation: imaging applications. Zbl 07292249Parisotto, Simone; Lellmann, Jan; Masnou, Simon; Schönlieb, Carola-Bibiane 1 2020 Equivariant neural networks for inverse problems. Zbl 07381882Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia 1 2021 An optimization problem related to the best Sobolev trace constant in thin domains. Zbl 1357.49027Bonder, Julián Fernández; Rossi, Julio D.; Schönlieb, Carola-Bibiane 1 2008 Guidefill: GPU accelerated, artist guided geometric inpainting for 3D conversion of film. Zbl 1451.94009Hocking, L. Robert; MacKenzie, Russell; Schönlieb, Carola-Bibiane 1 2017 Introduction: Big data and partial differential equations. Zbl 1386.35008 1 2017 Joint phase reconstruction and magnitude segmentation from velocity-encoded MRI data. Zbl 1487.78013Corona, Veronica; Benning, Martin; Gladden, Lynn F.; Reci, Andi; Sederman, Andrew J.; Schönlieb, Carola-Bibiane 1 2021 Choose your path wisely: gradient descent in a Bregman distance framework. Zbl 1480.90197Benning, Martin; Betcke, Marta M.; Ehrhardt, Matthias J.; Schönlieb, Carola-Bibiane 1 2021 A stochastic proximal alternating minimization for nonsmooth and nonconvex optimization. Zbl 1479.90166Driggs, Derek; Tang, Junqi; Liang, Jingwei; Davies, Mike; Schönlieb, Carola-Bibiane 1 2021 Improving “fast iterative shrinkage-thresholding algorithm”: faster, smarter, and greedier. Zbl 1492.65163Liang, Jingwei; Luo, Tao; Schönlieb, Carola-Bibiane 2 2022 Structure-preserving deep learning. Zbl 07440570Celledoni, E.; Ehrhardt, M. J.; Etmann, C.; McLachlan, R. I.; Owren, B.; Schonlieb, C.-B.; Sherry, F. 4 2021 On learned operator correction in inverse problems. Zbl 1474.65182Lunz, Sebastian; Hauptmann, Andreas; Tarvainen, Tanja; Schönlieb, Carola-Bibiane; Arridge, Simon 3 2021 Equivariant neural networks for inverse problems. Zbl 07381882Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia 1 2021 Joint phase reconstruction and magnitude segmentation from velocity-encoded MRI data. Zbl 1487.78013Corona, Veronica; Benning, Martin; Gladden, Lynn F.; Reci, Andi; Sederman, Andrew J.; Schönlieb, Carola-Bibiane 1 2021 Choose your path wisely: gradient descent in a Bregman distance framework. Zbl 1480.90197Benning, Martin; Betcke, Marta M.; Ehrhardt, Matthias J.; Schönlieb, Carola-Bibiane 1 2021 A stochastic proximal alternating minimization for nonsmooth and nonconvex optimization. Zbl 1479.90166Driggs, Derek; Tang, Junqi; Liang, Jingwei; Davies, Mike; Schönlieb, Carola-Bibiane 1 2021 Variational regularisation for inverse problems with imperfect forward operators and general noise models. Zbl 1454.49037Bungert, Leon; Burger, Martin; Korolev, Yury; Schönlieb, Carola-Bibiane 4 2020 Higher-order total directional variation: analysis. Zbl 1444.47020Parisotto, Simone; Masnou, Simon; Schönlieb, Carola-Bibiane 4 2020 A variational model dedicated to joint segmentation, registration, and atlas generation for shape analysis. Zbl 07196107Debroux, Noémie; Aston, John; Bonardi, Fabien; Forbes, Alistair; Guyader, Carole Le; Romanchikova, Marina; Schönlieb, Carola-Bibiane 3 2020 Analysis of artifacts in shell-based image inpainting: why they occur and how to eliminate them. Zbl 1500.94003Hocking, L. Robert; Holding, Thomas; Schönlieb, Carola-Bibiane 1 2020 Higher-order total directional variation: imaging applications. Zbl 07292249Parisotto, Simone; Lellmann, Jan; Masnou, Simon; Schönlieb, Carola-Bibiane 1 2020 Solving inverse problems using data-driven models. Zbl 1429.65116Arridge, Simon; Maass, Peter; Öktem, Ozan; Schönlieb, Carola-Bibiane 48 2019 Directional sinogram inpainting for limited angle tomography. Zbl 1407.92074Tovey, Robert; Benning, Martin; Brune, Christoph; Lagerwerf, Marinus J.; Collins, Sean M.; Leary, Rowan K.; Midgley, Paul A.; Schönlieb, Carola-Bibiane 8 2019 Linkage between piecewise constant Mumford-Shah model and Rudin-Osher-Fatemi model and its virtue in image segmentation. Zbl 1454.94012Cai, Xiaohao; Chan, Raymond; Schönlieb, Carola-Bibiane; Steidl, Gabriele; Zeng, Tieyong 8 2019 Deep learning as optimal control problems: models and numerical methods. Zbl 1429.68249Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane 7 2019 Stability analysis of line patterns of an anisotropic interaction model. Zbl 1430.35026Carrillo, José A.; Düring, Bertram; Kreusser, Lisa Maria; Schönlieb, Carola-Bibiane 3 2019 An anisotropic interaction model for simulating fingerprints. Zbl 1420.35436Düring, Bertram; Gottschlich, Carsten; Huckemann, Stephan; Kreusser, Lisa Maria; Schönlieb, Carola-Bibiane 3 2019 Enhancing joint reconstruction and segmentation with non-convex Bregman iteration. Zbl 1448.94008Corona, Veronica; Benning, Martin; Ehrhardt, Matthias J.; Gladden, Lynn F.; Mair, Richard; Reci, Andi; Sederman, Andrew J.; Reichelt, Stefanie; Schönlieb, Carola-Bibiane 3 2019 Anisotropic osmosis filtering for shadow removal in images. Zbl 1448.94030Parisotto, Simone; Calatroni, Luca; Caliari, Marco; Schönlieb, Carola-Bibiane; Weickert, Joachim 2 2019 Stochastic primal-dual hybrid gradient algorithm with arbitrary sampling and imaging applications. Zbl 06951767Chambolle, Antonin; Ehrhardt, Matthias J.; Richtárik, Peter; Schönlieb, Carola-Bibiane 28 2018 A variational model for joint motion estimation and image reconstruction. Zbl 1437.94009Burger, Martin; Dirks, Hendrik; Schönlieb, Carola-Bibiane 13 2018 Pattern formation of a nonlocal, anisotropic interaction model. Zbl 1383.35024Burger, Martin; Düring, Bertram; Kreusser, Lisa Maria; Markowich, Peter A.; Schönlieb, Carola-Bibiane 7 2018 Variational image regularization with Euler’s elastica using a discrete gradient scheme. Zbl 1426.49031Ringholm, Torbjørn; Lazić, Jasmina; Schönlieb, Carola-Bibiane 5 2018 Inverse scale space decomposition. Zbl 1468.62352Foged Schmidt, Marie; Benning, Martin; Schönlieb, Carola-Bibiane 4 2018 Blind image fusion for hyperspectral imaging with the directional total variation. Zbl 1481.94009Bungert, Leon; Coomes, David A.; Ehrhardt, Matthias J.; Rasch, Jennifer; Reisenhofer, Rafael; Schönlieb, Carola-Bibiane 3 2018 Bilevel parameter learning for higher-order total variation regularisation models. Zbl 1425.94010De los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. 28 2017 Infimal convolution of data discrepancies for mixed noise removal. Zbl 1412.94005Calatroni, Luca; De Los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane 19 2017 Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images. Zbl 1369.94019Calatroni, Luca; van Gennip, Yves; Schönlieb, Carola-Bibiane; Rowland, Hannah M.; Flenner, Arjuna 11 2017 Bilevel approaches for learning of variational imaging models. Zbl 1468.94014Calatroni, Luca; Cao, Chung; de los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane; Vakonen, Tuomo 10 2017 Learning optimal spatially-dependent regularization parameters in total variation image denoising. Zbl 1371.49018van Chung, Cao; De Los Reyes, J. C.; Schönlieb, C. B. 10 2017 Discrete gradient methods for solving variational image regularisation models. Zbl 1371.94146Grimm, V.; McLachlan, Robert I.; McLaren, David I.; Quispel, G. R. W.; Schönlieb, C.-B. 7 2017 Guidefill: GPU accelerated, artist guided geometric inpainting for 3D conversion of film. Zbl 1451.94009Hocking, L. Robert; MacKenzie, Russell; Schönlieb, Carola-Bibiane 1 2017 Introduction: Big data and partial differential equations. Zbl 1386.35008 1 2017 The structure of optimal parameters for image restoration problems. Zbl 1327.49063De Los Reyes, J. C.; Schönlieb, C.-B.; Valkonen, T. 17 2016 Infimal convolution regularisation functionals of BV and \(\mathrm{L}^p\) spaces. I: The finite \(p\) case. Zbl 1342.49014Burger, Martin; Papafitsoros, Konstantinos; Papoutsellis, Evangelos; Schönlieb, Carola-Bibiane 10 2016 A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan 18 2015 Partial differential equation methods for image inpainting. Zbl 1335.94002Schönlieb, Carola-Bibiane 11 2015 Analysis and application of a nonlocal Hessian. Zbl 1330.94010Lellmann, Jan; Papafitsoros, Konstantinos; Schönlieb, Carola; Spector, Daniel 7 2015 Variational depth from focus reconstruction. Zbl 1408.94486Moeller, Michael; Benning, Martin; Schönlieb, Carola; Cremers, Daniel 4 2015 A combined first and second order variational approach for image reconstruction. Zbl 1362.94009Papafitsoros, K.; Schönlieb, C. B. 80 2014 Imaging with Kantorovich-Rubinstein discrepancy. Zbl 1308.49043Lellmann, Jan; Lorenz, Dirk A.; Schönlieb, Carola; Valkonen, Tuomo 27 2014 Total variation regularization in measurement and image space for PET reconstruction. Zbl 1308.65214Burger, M.; Müller, J.; Papoutsellis, E.; Schönlieb, C. B. 11 2014 Dynamic sampling schemes for optimal noise learning under multiple nonsmooth constraints. Zbl 1333.94008Calatroni, Luca; De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane 5 2014 ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing. Zbl 1279.65096Calatroni, Luca; Düring, Bertram; Schönlieb, Carola-Bibiane 5 2014 Image denoising: learning the noise model via nonsmooth PDE-constrained optimization. Zbl 1283.49005De los Reyes, Juan Carlos; Schönlieb, Carola-Bibiane 30 2013 Bregmanized domain decomposition for image restoration. Zbl 1308.94020Langer, Andreas; Osher, Stanley; Schönlieb, Carola-Bibiane 12 2013 A primal-dual approach for a total variation Wasserstein flow. Zbl 1286.94012Benning, Martin; Calatroni, Luca; Düring, Bertram; Schönlieb, Carola-Bibiane 3 2013 Regularized regression and density estimation based on optimal transport. Zbl 1318.62122Burger, Martin; Franek, Marzena; Schönlieb, Carola-Bibiane 10 2012 Wavelet decomposition method for \(L_2\)/TV-image deblurring. Zbl 1259.65101Fornasier, M.; Kim, Y.; Langer, A.; Schönlieb, C.-B. 6 2012 A high-contrast fourth-order PDE from imaging: numerical solution by ADI splitting. Zbl 1270.65046Düring, Bertram; Schönlieb, Carola-Bibiane 2 2012 Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016Schönlieb, Carola-Bibiane; Bertozzi, Andrea 37 2011 A convergent overlapping domain decomposition method for total variation minimization. Zbl 1206.65170Fornasier, Massimo; Langer, Andreas; Schönlieb, Carola-Bibiane 25 2010 Nonlocal higher order evolution equations. Zbl 1191.35063Rossi, Julio D.; Schönlieb, Carola-Bibiane 2 2010 Cahn-Hilliard inpainting and a generalization for grayvalue images. Zbl 1180.49007Burger, Martin; He, Lin; Schönlieb, Carola-Bibiane 59 2009 Subspace correction methods for total variation and \(\ell_1\)-minimization. Zbl 1203.65098Fornasier, Massimo; Schönlieb, Carola-Bibiane 29 2009 Total variation minimization with an \(H^{-1}\) constraint. Zbl 1178.65072Schönlieb, Carola-Bibiane 3 2009 The Willmore functional and instabilities in the Cahn-Hilliard equation. Zbl 1154.35009Burger, Martin; Chu, Shun-Yin; Markowich, Peter A.; Schönlieb, Carola-Bibiane 3 2008 The best constant and extremals of the Sobolev embeddings in domains with holes: the \(L^{\infty }\) case. Zbl 1181.49006Bonder, Julián Fernández; Rossi, Julio D.; Schönlieb, Carola-Bibiane 2 2008 An optimization problem related to the best Sobolev trace constant in thin domains. Zbl 1357.49027Bonder, Julián Fernández; Rossi, Julio D.; Schönlieb, Carola-Bibiane 1 2008 all cited Publications top 5 cited Publications all top 5 Cited by 819 Authors 36 Schönlieb, Carola-Bibiane 10 Burger, Martin 9 Lee, Chang-Ock 9 Valkonen, Tuomo 8 De los Reyes, Juan Carlos 8 Hintermüller, Michael 8 Laghrib, Amine 8 Lv, Xiaoguang 8 Öktem, Ozan 8 Schmitzer, Bernhard 8 Tai, Xuecheng 7 Arridge, Simon R. 7 Chang, Huibin 7 Ehrhardt, Matthias Joachim 7 Fakih, Hussein 7 Fuchs, Martin 7 Huang, Ting-Zhu 7 Park, Jongho 7 Pock, Thomas 7 Steidl, Gabriele 6 Bergmann, Ronny 6 Bildhauer, Michael 6 Calatroni, Luca 6 Chambolle, Antonin 6 Hadri, Aissam 6 Liu, Jun 6 Maass, Peter 6 Pereyra, Marcelo 6 Peyré, Gabriel 6 Zhang, Xiaoqun 5 Benning, Martin 5 Bungert, Leon 5 Cherfils, Laurence 5 Debroux, Noémie 5 Duan, Yuping 5 Jung, Miyoun 5 Korolev, Yury M. 5 Masnou, Simon 5 Miranville, Alain M. 5 Papafitsoros, Konstantinos 5 Zeng, Tie Yong 4 Chen, Chong 4 Choi, Jae Kyu 4 Dong, Bin 4 Düring, Bertram 4 Elmoataz, Abderrahim 4 Halim, Abdul Hakim 4 Kang, Myungjoo 4 Langer, Andreas 4 Lassas, Matti J. 4 Le Guyader, Carole 4 Lellmann, Jan 4 Liu, Jun 4 Nachaoui, Mourad 4 Papafitsoros, Kostas 4 Rautenberg, Carlos N. 4 Santambrogio, Filippo 4 Stoll, Martin 4 Tenbrinck, Daniel 4 Theljani, Anis 4 Van Gennip, Yves 4 Wang, Si 4 Weickert, Joachim 4 Wu, Chunlin 4 Zhang, Hongchao 3 Afraites, Lekbir 3 Bosch, Jessica 3 Bredies, Kristian 3 Celledoni, Elena 3 Chizat, Lénaïc 3 Cristoferi, Riccardo 3 Cuturi, Marco 3 De Bortoli, Valentin 3 Durmus, Alain 3 Fitschen, Jan Henrik 3 Fornasier, Massimo 3 Hauptmann, Andreas 3 Jiang, Le 3 Kreusser, Lisa Maria 3 Kunisch, Karl 3 Li, Dong 3 Li, Fang 3 Moakher, Maher 3 Nam, Changmin 3 Ng, Michael Kwok-Po 3 Osher, Stanley Joel 3 Owren, Brynjulf 3 Richtárik, Peter 3 Santacesaria, Matteo 3 Siltanen, Samuli 3 Toutain, Matthieu 3 Vialard, François-Xavier 3 Weinmann, Andreas 3 Wirth, Benedikt 3 Wu, Tao 3 Wu, Tingting 3 Zhao, Xile 2 Augustin, Matthias Albert 2 Barbu, Tudor 2 Belhachmi, Zakaria ...and 719 more Authors all top 5 Cited in 126 Serials 58 SIAM Journal on Imaging Sciences 41 Journal of Mathematical Imaging and Vision 29 Inverse Problems 19 Journal of Scientific Computing 19 Inverse Problems and Imaging 11 SIAM Journal on Scientific Computing 10 SIAM Journal on Optimization 9 Journal of Computational and Applied Mathematics 8 Computers & Mathematics with Applications 8 Applied Mathematics and Computation 7 Numerical Algorithms 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Journal of Computational Physics 6 SIAM Journal on Mathematical Analysis 6 Journal of Mathematical Sciences (New York) 5 Computational Optimization and Applications 5 Computational and Applied Mathematics 5 Foundations of Computational Mathematics 5 Statistics and Computing 4 Mathematics of Computation 4 European Journal of Applied Mathematics 4 Applied Mathematical Modelling 4 International Journal of Computer Mathematics 4 Applied and Computational Harmonic Analysis 4 ETNA. Electronic Transactions on Numerical Analysis 4 Mathematical Problems in Engineering 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 SIAM Journal on Mathematics of Data Science 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Optimization 3 Journal of Differential Equations 3 Journal of Optimization Theory and Applications 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Multidimensional Systems and Signal Processing 3 Calculus of Variations and Partial Differential Equations 3 Advances in Computational Mathematics 3 Inverse Problems in Science and Engineering 2 Archive for Rational Mechanics and Analysis 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 BIT 2 Information Sciences 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Nonlinear Science 2 Journal of Inverse and Ill-Posed Problems 2 Discrete and Continuous Dynamical Systems 2 Applied Sciences 2 Nonlinear Analysis. Real World Applications 2 Communications on Pure and Applied Analysis 2 Multiscale Modeling & Simulation 2 Acta Numerica 2 Optimization Letters 2 Numerical Mathematics: Theory, Methods and Applications 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 Journal of the Operations Research Society of China 2 SIAM/ASA Journal on Uncertainty Quantification 1 Applicable Analysis 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Nonlinearity 1 Annals of the Institute of Statistical Mathematics 1 Journal of the American Statistical Association 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Ricerche di Matematica 1 Applied Numerical Mathematics 1 Statistical Science 1 Numerical Methods for Partial Differential Equations 1 Japan Journal of Industrial and Applied Mathematics 1 European Journal of Operational Research 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Mathematical Programming. Series A. Series B 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 St. Petersburg Mathematical Journal 1 International Journal of Computer Vision 1 Journal of Convex Analysis 1 Opuscula Mathematica 1 Complexity 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Differential Equations and Dynamical Systems 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 Journal of Inequalities and Applications 1 Informatica (Vilnius) 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Journal of Evolution Equations 1 Portugaliae Mathematica. Nova Série 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Applied Mathematics and Computing ...and 26 more Serials all top 5 Cited in 36 Fields 261 Numerical analysis (65-XX) 211 Information and communication theory, circuits (94-XX) 182 Computer science (68-XX) 140 Calculus of variations and optimal control; optimization (49-XX) 103 Operations research, mathematical programming (90-XX) 95 Partial differential equations (35-XX) 38 Biology and other natural sciences (92-XX) 33 Statistics (62-XX) 16 Operator theory (47-XX) 14 Probability theory and stochastic processes (60-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Fluid mechanics (76-XX) 8 Real functions (26-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Mechanics of deformable solids (74-XX) 7 Combinatorics (05-XX) 7 Ordinary differential equations (34-XX) 7 Functional analysis (46-XX) 6 Integral transforms, operational calculus (44-XX) 6 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Systems theory; control (93-XX) 5 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Integral equations (45-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.