Edit Profile (opens in new tab) Caselles Costa, Vicent Co-Author Distance Author ID: caselles.vicent Published as: Caselles, Vicent; Caselles, V.; Costa, Vicent; Caselles, Vincent more...less External Links: MGP · Google Scholar · dblp · GND Documents Indexed: 152 Publications since 1985, including 3 Books 3 Contributions as Editor Biographic References: 3 Publications Co-Authors: 89 Co-Authors with 129 Joint Publications 1,749 Co-Co-Authors all top 5 Co-Authors 21 single-authored 26 Mazón Ruiz, José M. 23 Andreu, Fuensanta 15 Morel, Jean-Michel 15 Novaga, Matteo 14 Ballester, Coloma 13 Chambolle, Antonin 12 Sapiro, Guillermo 8 Sbert, Catalina 7 Facciolo, Gabriele 6 Bertalmío, Marcelo 5 Coll, Bartomeu 5 Igual, Laura 5 Moll, Salvador 4 Almansa, Andrés 4 Arias, Pablo 4 Bellettini, Giovanni 4 Bernot, Marc 4 Calvo, Juan G. 4 Meinhardt, Enric 4 Monasse, Pascal 4 Papadakis, Nicolas 4 Soler, Juan S. 3 Alter, François 3 Andreu-Vaillo, Fuensanta 3 Calderero, Felipe 3 Campos, Juan 3 Garrido, Luis 3 Haro, Gloria 3 Kimmel, Ron 3 Provenzi, Edoardo 3 Rougé, Bernard 3 Sadek, Rida 3 Sánchez, Oscar 2 Alemán-Flores, Miguel 2 Aujol, Jean-François 2 Bugeau, Aurélie 2 Catté, Francine 2 Coll, Tomeu 2 Dellunde, Pilar 2 Dibos, Françoise 2 Falomir, Zoe 2 Gonzalez, Manuel 2 Masnou, Simon 2 Miranda, Michele jun. 2 Moll, J. S. 2 Rumpf, Martin 2 Schröder, Peter 2 Solé, Andres Fco. 2 Verdera, Joan 1 Ambrosio, Luigi 1 Aràndiga, Francesc 1 Arándiga, Francisco 1 Badia, Guillermo 1 Baeza, Antonio 1 Cao, Frédéric 1 Cardelino, Juan 1 Carrillo de la Plata, José Antonio 1 Chung, Do Hyun 1 Constantinopoulos, Constantinos 1 Cremers, Daniel 1 De Craene, Mathieu 1 Díaz Díaz, Jesús Ildefonso 1 Donat, Rosa 1 Duchateau, Nicolas 1 Dziuk, Gerhard 1 Ferradans, Sira 1 Frangi, Alejandro F. 1 Gargallo, Pau 1 Gibert, Karina 1 Jalalzai, Khalid 1 Kalmoun, El Mostafa 1 Klaiany, Charbel 1 Lazcano, Vanel 1 Limaco, Juan 1 Liu, Yunqiang 1 Lopes, A. R. 1 Lunardi, Alessandra 1 Martínez, Josep 1 Mokhtar-Kharroubi, Mustapha 1 Noguera, Carles 1 Pich, Albert 1 Plaza, Enric 1 Pock, Thomas 1 Preziozzi, J. 1 Prouvée, Laurent 1 Randall, Gregory 1 Sander, Oliver 1 Sitges, Marta 1 Tang, Bei 1 Verbeni, Michela 1 Yildizoğlu, Romain 1 Zacur, Ernesto all top 5 Serials 8 IEEE Transactions on Image Processing 8 Multiscale Modeling & Simulation 6 Journal of Mathematical Imaging and Vision 6 International Journal of Computer Vision 6 SIAM Journal on Imaging Sciences 5 Journal of Differential Equations 4 Mathematische Annalen 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Publicacions Matemàtiques 3 Archive for Rational Mechanics and Analysis 3 Journal of Functional Analysis 3 Numerische Mathematik 3 Revista Matemática Iberoamericana 3 Journal of the European Mathematical Society (JEMS) 2 Transport Theory and Statistical Physics 2 Indagationes Mathematicae 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 Journal of Scientific Computing 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Séminaire Équations aux Dérivées Partielles 2 Journal of Evolution Equations 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Oberwolfach Reports 2 Lecture Notes in Mathematics 2 Publications Mathématiques de la Faculté des Sciences de Besançon. Analyse Non Linéaire 2 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Computers and Fluids 1 Israel Journal of Mathematics 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Inventiones Mathematicae 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Revista de la Unión Matemática Argentina 1 SIAM Journal on Numerical Analysis 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Journal of Operator Theory 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática de la Universidad Complutense de Madrid 1 Differential and Integral Equations 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of the Australian Mathematical Society. Series A 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Indagationes Mathematicae. New Series 1 Calculus of Variations and Partial Differential Equations 1 Annals of Mathematics and Artificial Intelligence 1 Discrete and Continuous Dynamical Systems 1 Logic Journal of the IGPL 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Positivity 1 Soft Computing 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Mathematical Fluid Mechanics 1 Interfaces and Free Boundaries 1 Communications in Contemporary Mathematics 1 La Gaceta de la Real Sociedad Matemática Española 1 Journal of Applied Logic 1 Progress in Mathematics 1 Inverse Problems and Imaging 1 Advances in Calculus of Variations 1 EMS Surveys in Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 69 Partial differential equations (35-XX) 63 Computer science (68-XX) 40 Information and communication theory, circuits (94-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 29 Numerical analysis (65-XX) 27 Operator theory (47-XX) 10 Functional analysis (46-XX) 6 Differential geometry (53-XX) 6 Fluid mechanics (76-XX) 5 Convex and discrete geometry (52-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 2,737 times in 1,479 Documents Cited by ▼ Year ▼ Geodesic active contours. Zbl 0894.68131Caselles, Vicent; Kimmel, Ron; Sapiro, Guillermo 364 1997 Parabolic quasilinear equations minimizing linear growth functionals. Zbl 1053.35002Andreu-Vaillo, Fuensanta; Caselles, Vicent; Mazón, José M. 164 2004 A geometric model for active contours in image processing. Zbl 0804.68159Caselles, Vicent; Catté, Francine; Coll, Tomeu; Dibos, Françoise 137 1993 The total variation flow in \(\mathbb R^N\). Zbl 1036.35099Bellettini, G.; Caselles, V.; Novaga, M. 110 2002 An introduction to total variation for image analysis. Zbl 1209.94004Chambolle, Antonin; Caselles, Vicent; Cremers, Daniel; Novaga, Matteo; Pock, Thomas 109 2010 The Dirichlet problem for the total variation flow. Zbl 0973.35109Andreu, F.; Ballester, C.; Caselles, V.; Mazón, J. M. 93 2001 Minimizing total variation flow. Zbl 1020.35037Andreu, F.; Ballester, C.; Caselles, V.; Mazón, J. M. 86 2001 Connected components of sets of finite perimeter and applications to image processing. Zbl 0981.49024Ambrosio, Luigi; Caselles, Vicent; Masnou, Simon; Morel, Jean-Michel 75 2001 An axiomatic approach to image interpolation. Zbl 0993.94504Caselles, Vicent; Morel, Jean-Michel; Sbert, Catalina 68 1998 Filling-in by joint interpolation of vector fields and gray levels. Zbl 1037.68771Ballester, Coloma; Bertalmio, M.; Caselles, V.; Sapiro, Guillermo; Verdera, Joan 60 2001 Some qualitative properties for the total variation flow. Zbl 1042.35018Andreu, F.; Caselles, V.; Díaz, J. I.; Mazón, J. M. 59 2002 The discontinuity set of solutions of the TV denoising problem and some extensions. Zbl 1145.49024Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 57 2007 Optimal transportation networks. Models and theory. Zbl 1163.90001Bernot, Marc; Caselles, Vicent; Morel, Jean-Michel 54 2009 A characterization of convex calibrable sets in \(\mathbb R^N\). Zbl 1108.35073Alter, F.; Caselles, V.; Chambolle, A. 49 2005 Finite propagation speed for limited flux diffusion equations. Zbl 1142.35455Andreu, Fuensanta; Caselles, Vicent; Mazón, José M.; Moll, Salvador 44 2006 Uniqueness of the Cheeger set of a convex body. Zbl 1167.52005Alter, François; Caselles, Vicent 42 2009 A variational framework for exemplar-based image inpainting. Zbl 1235.94015Arias, Pablo; Facciolo, Gabriele; Caselles, Vicent; Sapiro, Guillermo 40 2011 Crystalline mean curvature flow of convex sets. Zbl 1148.53049Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 34 2006 The Cauchy problem for a strongly degenerate quasilinear equation. Zbl 1082.35089Andreu, F.; Caselles, V.; Mazón, J. M. 32 2005 Traffic plans. Zbl 1086.49029Bernot, Marc; Caselles, Vicent; Morel, Jean-Michel 31 2005 Color image enhancement via chromaticity diffusion. Zbl 1037.68792Tang, Bei; Sapiro, Guillermo; Caselles, Vicent 31 2001 TV based image restoration with local constraints. Zbl 1034.49036Bertalmio, M.; Caselles, V.; Rougé, B.; Solé, A. 31 2003 On the entropy conditions for some flux limited diffusion equations. Zbl 1231.35101Caselles, V. 30 2011 Existence and uniqueness of a solution for a parabolic quasilinear problem for linear growth functionals with \(L^1\) data. Zbl 1056.35085Andreu-Vaillo, F.; Caselles, V.; Mazón, J. M. 29 2002 Regularity for solutions of the total variation denoising problem. Zbl 1228.94005Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 29 2011 Minimizing total variation flow. Zbl 0973.35113Andreu, Fuensanta; Ballester, Coloma; Caselles, Vicent; Mazón, José M. 29 2000 Anisotropic curvature-driven flow of convex sets. Zbl 1107.35069Caselles, Vicent; Chambolle, Antonin 27 2006 A TV based restoration model with local constraints. Zbl 1218.94007Almansa, A.; Ballester, C.; Caselles, V.; Haro, G. 27 2008 A strongly degenerate quasilinear equation: the parabolic case. Zbl 1112.35111Andreu, Fuensanta; Caselles, Vicent; Mazón, José M. 26 2005 Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow. Zbl 1084.49003Alter, F.; Caselles, V.; Chambolle, A. 25 2005 A strongly degenerate quasilinear elliptic equation. Zbl 1190.35100Andreu, F.; Caselles, V.; Mazón, J. M. 25 2005 Explicit solutions of the eigenvalue problem \(-\text{div}\left(\frac {Du} {|Du|}\right)=u\) in \(\mathbb R^2\). Zbl 1162.35379Bellettini, Giovanni; Caselles, Vicent; Novaga, Matteo 25 2005 Uniqueness of the Cheeger set of a convex body. Zbl 1221.35171Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 23 2007 Geometric description of images as topographic maps. Zbl 1191.68759Caselles, Vicent; Monasse, Pascal 22 2010 Some remarks on uniqueness and regularity of Cheeger sets. Zbl 1198.49042Caselles, Vicent; Chambolle, Antonin; Novaga, M. 21 2010 Pattern formation in a flux limited reaction-diffusion equation of porous media type. Zbl 1388.35094Calvo, J.; Campos, J.; Caselles, V.; Sánchez, O.; Soler, J. 20 2016 Some regularity results on the ‘relativistic’ heat equation. Zbl 1160.35016Andreu, F.; Caselles, V.; Mazón, J. M. 20 2008 Anisotropic Cheeger sets and applications. Zbl 1193.49051Caselles, Vicent; Facciolo, Gabriele; Meinhardt, Enric 20 2009 The volume preserving crystalline mean curvature flow of convex sets in \(\mathbb R^N\). Zbl 1178.53066Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 20 2009 The structure of branched transportation networks. Zbl 1146.49035Bernot, Marc; Caselles, Vicent; Morel, Jean-Michel 20 2008 Flux-gradient and source-term balancing for certain high resolution shock-capturing schemes. Zbl 1237.76100Caselles, Vicent; Donat, Rosa; Haro, Gloria 19 2009 On the peripheral spectrum of positive operators. Zbl 0643.47002Caselles, Vicent 18 1987 Flux-saturated porous media equations and applications. Zbl 1328.35089Calvo, J.; Campos, J.; Caselles, V.; Sánchez, O.; Soler, J. 18 2015 Radially symmetric solutions of a tempered diffusion equation. A porous media, flux-limited case. Zbl 1276.35109Andreu, F.; Caselles, V.; Mazón, J. M.; Soler, J.; Verbeni, M. 16 2012 A parabolic quasilinear problem for linear growth functionals. Zbl 1010.35063Andreu, Fuensanta; Caselles, Vincent; Mazón, José M. 15 2002 A diffusion equation in transparent media. Zbl 1116.35072Andreu, F.; Caselles, V.; Mazón, J. M.; Moll, J. S. 15 2007 Total variation in imaging. 2nd edition. Zbl 1331.68264Caselles, V.; Chambolle, A.; Novaga, M. 14 2015 A strongly degenerate quasilinear equation: the elliptic case. Zbl 1117.35022Andreu, Fuensanta; Caselles, Vicent; Mazón, José M. 14 2004 Convergence of the ‘relativistic’ heat equation to the heat equation as \(c\to\infty\). Zbl 1140.35466Caselles, V. 14 2007 Scalar conservation laws and Hamilton-Jacobi equations in one-space variable. Zbl 0755.35067Caselles, V. 13 1992 Histogram modification via differential equations. Zbl 0913.35141Sapiro, Guillermo; Caselles, Vicent 13 1997 Perimeter of sublevel sets in infinite dimensional spaces. Zbl 1257.49006Caselles, Vicent; Lunardi, Alessandra; Miranda, Michele jun.; Novaga, Matteo 13 2012 The minimizing total variation flow with measure initial conditions. Zbl 1082.35090Andreu, F.; Mazón, J. M.; Moll, J. S.; Caselles, V. 13 2004 A characterization of convex calibrable sets in \(\mathbb R^N\) with respect to anisotropic norms. Zbl 1144.52002Caselles, V.; Chambolle, A.; Moll, S.; Novaga, M. 13 2008 Minimal surfaces: A geometric three dimensional segmentation approach. Zbl 0891.68093Caselles, Vicent; Kimmel, Ron; Sapiro, Guillermo; Sbert, Catalina 12 1997 Flux limited generalized porous media diffusion equations. Zbl 1282.35205Caselles, V. 12 2013 Total variation and Cheeger sets in Gauss space. Zbl 1195.49054Caselles, Vicent; Miranda, Michele jun.; Novaga, Matteo 12 2010 The Dirichlet problem associated to the relativistic heat equation. Zbl 1188.35108Andreu, Fuensanta; Caselles, Vicent; Mazón, Jose M.; Moll, Salvador 12 2010 Qualitative behaviour for flux-saturated mechanisms: travelling waves, waiting time and smoothing effects. Zbl 1379.35167Calvo, Juan; Campos, Juan; Caselles, Vicent; Sánchez, Óscar; Soler, Juan 12 2017 On the relativistic heat equation in one space dimension. Zbl 1282.35199Carrillo, J. A.; Caselles, V.; Moll, S. 11 2013 A Fisher-Kolmogorov equation with finite speed of propagation. Zbl 1198.35121Andreu, F.; Caselles, V.; Mazón, J. M. 11 2010 Grain filters. Zbl 1028.68140Caselles, Vicent; Monasse, Pascal 10 2002 Issues about retinex theory and contrast enhancement. Zbl 1477.68329Bertalmío, Marcelo; Caselles, Vicent; Provenzi, Edoardo 10 2009 The tree of shapes of an image. Zbl 1073.68094Ballester, Coloma; Caselles, Vicent; Monasse, P. 10 2003 An existence and uniqueness result for flux limited diffusion equations. Zbl 1252.35163Caselles, Vicent 9 2011 Convergence of flux limited porous media diffusion equations to its classical counterpart. Zbl 1433.35179Caselles, Vicent 9 2015 A comprehensive framework for image inpainting. Zbl 1371.94065Bugeau, Aurélie; Bertalmío, Marcelo; Caselles, Vicent; Sapiro, Guillermo 9 2010 Geometry and color in natural images. Zbl 0994.68167Caselles, Vicent; Coll, Bartomeu; Morel, Jean-Michel 9 2002 Total variation in imaging. Zbl 1259.68217Caselles, V.; Chambolle, A.; Novaga, M. 8 2011 The Cauchy problem for linear growth functionals. Zbl 1028.35054Andreu, F.; Caselles, V.; Mazón, J. M. 8 2003 Vector median filters, inf-sup operations, and coupled PDE’s: Theoretical connections. Zbl 0955.68116Caselles, Vicent; Sapiro, Guillermo; Chung, Do Hyun 8 2000 Irregular to regular sampling, denoising, and deconvolution. Zbl 1185.68804Facciolo, Gabriele; Almansa, Andrés; Aujol, Jean-François; Caselles, Vicent 8 2009 A variational model for histogram transfer of color images. Zbl 1372.94202Papadakis, N.; Provenzi, E.; Caselles, V. 7 2011 A Kanizsa programme. Zbl 1077.68924Caselles, Vicent; Coll, Bartomeu; Morel, Jean-Michel 7 1996 On the jump set of solutions of the total variation flow. Zbl 1284.49043Caselles, V.; Jalalzai, K.; Novaga, M. 7 2013 High-dimension multilabel problems: convex or nonconvex relaxation? Zbl 1281.65038Papadakis, Nicolas; Yildizoğlu, Romain; Aujol, Jean-François; Caselles, Vicent 6 2013 Are there infinite irrigation trees? Zbl 1142.76369Bernot, M.; Caselles, V.; Morel, J. M. 6 2006 Disocclusion by joint interpolation of vector fields and gray levels. Zbl 1079.68634Ballester, Coloma; Caselles, Vicent; Verdera, Joan 5 2004 Analysis of a variational framework for exemplar-based image inpainting. Zbl 1311.68179Arias, P.; Caselles, V.; Facciolo, G. 5 2012 Local-in-time regularity results for some flux-limited diffusion equations of porous media type. Zbl 1282.35112Calvo, J.; Caselles, V. 5 2013 3D edge detection by selection of level surface patches. Zbl 1493.68383Meinhardt, Enric; Zacur, Ernesto; Frangi, Alejandro F.; Caselles, Vicent 5 2009 What is the best causal scale space for three-dimensional images? Zbl 0854.68115Caselles, V.; Sbert, C. 4 1996 Snakes in movement. Zbl 0861.68111Caselles, V.; Coll, B. 4 1996 Nonlocal variational models for inpainting and interpolation. Zbl 1267.68278Arias, Pablo; Caselles, Vicent; Facciolo, Gabriele; Lazcano, Vanel; Sadek, Rida 4 2012 Line search multilevel optimization as computational methods for dense optical flow. Zbl 1219.94006Kalmoun, El Mostafa; Garrido, Luis; Caselles, Vicent 4 2011 Restoration and zoom of irregularly sampled, blurred, and noisy images by accurate total variation minimization with local constraints. Zbl 1161.68822Almansa, Andrés; Caselles, Vicent; Haro, Gloria; Rougé, Bernard 4 2006 Automatic low baseline stereo in urban areas. Zbl 1135.68052Igual, L.; Preziozzi, J.; Garrido, L.; Almansa, A.; Caselles, V.; Rougé, B. 4 2007 A wavelet perspective on variational perceptually-inspired color enhancement. Zbl 1328.68281Provenzi, Edoardo; Caselles, Vicent 3 2014 On irreducible operators on Banach lattices. Zbl 0595.47030Caselles, V. 3 1986 A contrario selection of optimal partitions for image segmentation. Zbl 1279.68321Cardelino, Juan; Caselles, Vicent; Bertalmío, Marcelo; Randall, Gregory 3 2013 Multiscale analysis of similarities between images on Riemannian manifolds. Zbl 1328.68266Ballester, Coloma; Calderero, Felipe; Caselles, Vicent; Facciolo, Gabriele 3 2014 An axiomatic approach to scalar data interpolation on surfaces. Zbl 1092.65007Caselles, V.; Igual, L.; Sander, O. 3 2006 Exemplar-based image inpainting using multiscale graph cuts. Zbl 1373.94263Liu, Yunqiang; Caselles, Vicent 3 2013 Constructing the tree of shapes of an image by fusion of the trees of connected components of upper and lower level sets. Zbl 1135.68609Caselles, Vicent; Meinhardt, Enric; Monasse, Pascal 3 2008 Multiscale analysis for images on Riemannian manifolds. Zbl 1304.68189Calderero, Felipe; Caselles, Vicent 3 2014 The \(M\)-components of level sets of continuous functions in WBV. Zbl 0991.54013Ballester, Coloma; Caselles, Vicent 2 2001 Dunford-Pettis operators and the Radon-Nikodym property. Zbl 0619.46016Caselles, V. 2 1988 On the approximation of the leading eigenelements for a class of transport operators. Zbl 0812.65139Caselles, V.; Mokhtar-Kharroubi, M. 2 1994 Morse description and morphological encoding of continuous data. Zbl 1079.68103Caselles, Vicent; Sapiro, Guillermo; Solé, Andrés; Ballester, Coloma 2 2004 On affine invariant descriptors related to SIFT. Zbl 1246.68253Sadek, R.; Constantinopoulos, C.; Meinhardt, E.; Ballester, C.; Caselles, V. 2 2012 Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic. Zbl 1418.03119Badia, Guillermo; Costa, Vicent; Dellunde, Pilar; Noguera, Carles 1 2019 Qualitative behaviour for flux-saturated mechanisms: travelling waves, waiting time and smoothing effects. Zbl 1379.35167Calvo, Juan; Campos, Juan; Caselles, Vicent; Sánchez, Óscar; Soler, Juan 12 2017 On the existence of free models in fuzzy universal Horn classes. Zbl 1436.03158Costa, Vicent; Dellunde, Pilar 1 2017 Pattern formation in a flux limited reaction-diffusion equation of porous media type. Zbl 1388.35094Calvo, J.; Campos, J.; Caselles, V.; Sánchez, O.; Soler, J. 20 2016 Flux-saturated porous media equations and applications. Zbl 1328.35089Calvo, J.; Campos, J.; Caselles, V.; Sánchez, O.; Soler, J. 18 2015 Total variation in imaging. 2nd edition. Zbl 1331.68264Caselles, V.; Chambolle, A.; Novaga, M. 14 2015 Convergence of flux limited porous media diffusion equations to its classical counterpart. Zbl 1433.35179Caselles, Vicent 9 2015 A wavelet perspective on variational perceptually-inspired color enhancement. Zbl 1328.68281Provenzi, Edoardo; Caselles, Vicent 3 2014 Multiscale analysis of similarities between images on Riemannian manifolds. Zbl 1328.68266Ballester, Coloma; Calderero, Felipe; Caselles, Vicent; Facciolo, Gabriele 3 2014 Multiscale analysis for images on Riemannian manifolds. Zbl 1304.68189Calderero, Felipe; Caselles, Vicent 3 2014 Flux limited generalized porous media diffusion equations. Zbl 1282.35205Caselles, V. 12 2013 On the relativistic heat equation in one space dimension. Zbl 1282.35199Carrillo, J. A.; Caselles, V.; Moll, S. 11 2013 On the jump set of solutions of the total variation flow. Zbl 1284.49043Caselles, V.; Jalalzai, K.; Novaga, M. 7 2013 High-dimension multilabel problems: convex or nonconvex relaxation? Zbl 1281.65038Papadakis, Nicolas; Yildizoğlu, Romain; Aujol, Jean-François; Caselles, Vicent 6 2013 Local-in-time regularity results for some flux-limited diffusion equations of porous media type. Zbl 1282.35112Calvo, J.; Caselles, V. 5 2013 A contrario selection of optimal partitions for image segmentation. Zbl 1279.68321Cardelino, Juan; Caselles, Vicent; Bertalmío, Marcelo; Randall, Gregory 3 2013 Exemplar-based image inpainting using multiscale graph cuts. Zbl 1373.94263Liu, Yunqiang; Caselles, Vicent 3 2013 A variational model for gradient-based video editing. Zbl 1270.68355Sadek, Rida; Facciolo, Gabriele; Arias, Pablo; Caselles, Vicent 2 2013 Recovering relative depth from low-level features without explicit T-junction detection and interpretation. Zbl 1270.68343Calderero, Felipe; Caselles, Vicent 2 2013 Variational models for image inpainting. Zbl 1364.94090Caselles, Vicent 1 2013 Radially symmetric solutions of a tempered diffusion equation. A porous media, flux-limited case. Zbl 1276.35109Andreu, F.; Caselles, V.; Mazón, J. M.; Soler, J.; Verbeni, M. 16 2012 Perimeter of sublevel sets in infinite dimensional spaces. Zbl 1257.49006Caselles, Vicent; Lunardi, Alessandra; Miranda, Michele jun.; Novaga, Matteo 13 2012 Analysis of a variational framework for exemplar-based image inpainting. Zbl 1311.68179Arias, P.; Caselles, V.; Facciolo, G. 5 2012 Nonlocal variational models for inpainting and interpolation. Zbl 1267.68278Arias, Pablo; Caselles, Vicent; Facciolo, Gabriele; Lazcano, Vanel; Sadek, Rida 4 2012 On affine invariant descriptors related to SIFT. Zbl 1246.68253Sadek, R.; Constantinopoulos, C.; Meinhardt, E.; Ballester, C.; Caselles, V. 2 2012 Image editing with spatiograms transfer. Zbl 1373.94318Papadakis, Nicolas; Bugeau, Aurélie; Caselles, Vicent 1 2012 A variational framework for exemplar-based image inpainting. Zbl 1235.94015Arias, Pablo; Facciolo, Gabriele; Caselles, Vicent; Sapiro, Guillermo 40 2011 On the entropy conditions for some flux limited diffusion equations. Zbl 1231.35101Caselles, V. 30 2011 Regularity for solutions of the total variation denoising problem. Zbl 1228.94005Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 29 2011 An existence and uniqueness result for flux limited diffusion equations. Zbl 1252.35163Caselles, Vicent 9 2011 Total variation in imaging. Zbl 1259.68217Caselles, V.; Chambolle, A.; Novaga, M. 8 2011 A variational model for histogram transfer of color images. Zbl 1372.94202Papadakis, N.; Provenzi, E.; Caselles, V. 7 2011 Line search multilevel optimization as computational methods for dense optical flow. Zbl 1219.94006Kalmoun, El Mostafa; Garrido, Luis; Caselles, Vicent 4 2011 An introduction to total variation for image analysis. Zbl 1209.94004Chambolle, Antonin; Caselles, Vicent; Cremers, Daniel; Novaga, Matteo; Pock, Thomas 109 2010 Geometric description of images as topographic maps. Zbl 1191.68759Caselles, Vicent; Monasse, Pascal 22 2010 Some remarks on uniqueness and regularity of Cheeger sets. Zbl 1198.49042Caselles, Vicent; Chambolle, Antonin; Novaga, M. 21 2010 Total variation and Cheeger sets in Gauss space. Zbl 1195.49054Caselles, Vicent; Miranda, Michele jun.; Novaga, Matteo 12 2010 The Dirichlet problem associated to the relativistic heat equation. Zbl 1188.35108Andreu, Fuensanta; Caselles, Vicent; Mazón, Jose M.; Moll, Salvador 12 2010 A Fisher-Kolmogorov equation with finite speed of propagation. Zbl 1198.35121Andreu, F.; Caselles, V.; Mazón, J. M. 11 2010 A comprehensive framework for image inpainting. Zbl 1371.94065Bugeau, Aurélie; Bertalmío, Marcelo; Caselles, Vicent; Sapiro, Guillermo 9 2010 Optimal transportation networks. Models and theory. Zbl 1163.90001Bernot, Marc; Caselles, Vicent; Morel, Jean-Michel 54 2009 Uniqueness of the Cheeger set of a convex body. Zbl 1167.52005Alter, François; Caselles, Vicent 42 2009 Anisotropic Cheeger sets and applications. Zbl 1193.49051Caselles, Vicent; Facciolo, Gabriele; Meinhardt, Enric 20 2009 The volume preserving crystalline mean curvature flow of convex sets in \(\mathbb R^N\). Zbl 1178.53066Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 20 2009 Flux-gradient and source-term balancing for certain high resolution shock-capturing schemes. Zbl 1237.76100Caselles, Vicent; Donat, Rosa; Haro, Gloria 19 2009 Issues about retinex theory and contrast enhancement. Zbl 1477.68329Bertalmío, Marcelo; Caselles, Vicent; Provenzi, Edoardo 10 2009 Irregular to regular sampling, denoising, and deconvolution. Zbl 1185.68804Facciolo, Gabriele; Almansa, Andrés; Aujol, Jean-François; Caselles, Vicent 8 2009 3D edge detection by selection of level surface patches. Zbl 1493.68383Meinhardt, Enric; Zacur, Ernesto; Frangi, Alejandro F.; Caselles, Vicent 5 2009 A TV based restoration model with local constraints. Zbl 1218.94007Almansa, A.; Ballester, C.; Caselles, V.; Haro, G. 27 2008 Some regularity results on the ‘relativistic’ heat equation. Zbl 1160.35016Andreu, F.; Caselles, V.; Mazón, J. M. 20 2008 The structure of branched transportation networks. Zbl 1146.49035Bernot, Marc; Caselles, Vicent; Morel, Jean-Michel 20 2008 A characterization of convex calibrable sets in \(\mathbb R^N\) with respect to anisotropic norms. Zbl 1144.52002Caselles, V.; Chambolle, A.; Moll, S.; Novaga, M. 13 2008 Constructing the tree of shapes of an image by fusion of the trees of connected components of upper and lower level sets. Zbl 1135.68609Caselles, Vicent; Meinhardt, Enric; Monasse, Pascal 3 2008 Some flux-limited quasi-linear elliptic equations without coercivity. Zbl 1226.35039Andreu, Fuensanta; Caselles, Vicent; Mazón, José M. 2 2008 Diffusion equations with finite speed of propagation. Zbl 1170.35465Andreu, Fuensanta; Caselles, Vicent; Mazón, José M. 1 2008 A contrast invariant approach to motion estimation: validation and application to motion estimation improvement. Zbl 1308.94014Caselles, Vicent; Garrido, Luis; Igual, Laura 1 2008 Erratum: A parabolic quasilinear problem for linear growth functionals (Rev. Mat. Iberoamericana 18 (2002), no. 1, 135-185). Zbl 1157.35408Andreu, Fuensanta; Caselles, Vicent; Mazón, José Manuel 1 2008 The discontinuity set of solutions of the TV denoising problem and some extensions. Zbl 1145.49024Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 57 2007 Uniqueness of the Cheeger set of a convex body. Zbl 1221.35171Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 23 2007 A diffusion equation in transparent media. Zbl 1116.35072Andreu, F.; Caselles, V.; Mazón, J. M.; Moll, J. S. 15 2007 Convergence of the ‘relativistic’ heat equation to the heat equation as \(c\to\infty\). Zbl 1140.35466Caselles, V. 14 2007 Automatic low baseline stereo in urban areas. Zbl 1135.68052Igual, L.; Preziozzi, J.; Garrido, L.; Almansa, A.; Caselles, V.; Rougé, B. 4 2007 Level lines selection with variational models for segmentation and encoding. Zbl 1478.94007Ballester, Coloma; Caselles, Vicent; Igual, Laura; Garrido, Luis 2 2007 Texture-oriented anisotropic filtering and geodesic active contours in breast tumor ultrasound segmentation. Zbl 1478.92097Alemán-Flores, Miguel; Álvarez, Luis; Caselles, Vicent 1 2007 Finite propagation speed for limited flux diffusion equations. Zbl 1142.35455Andreu, Fuensanta; Caselles, Vicent; Mazón, José M.; Moll, Salvador 44 2006 Crystalline mean curvature flow of convex sets. Zbl 1148.53049Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 34 2006 Anisotropic curvature-driven flow of convex sets. Zbl 1107.35069Caselles, Vicent; Chambolle, Antonin 27 2006 Are there infinite irrigation trees? Zbl 1142.76369Bernot, M.; Caselles, V.; Morel, J. M. 6 2006 Restoration and zoom of irregularly sampled, blurred, and noisy images by accurate total variation minimization with local constraints. Zbl 1161.68822Almansa, Andrés; Caselles, Vicent; Haro, Gloria; Rougé, Bernard 4 2006 An axiomatic approach to scalar data interpolation on surfaces. Zbl 1092.65007Caselles, V.; Igual, L.; Sander, O. 3 2006 A characterization of convex calibrable sets in \(\mathbb R^N\). Zbl 1108.35073Alter, F.; Caselles, V.; Chambolle, A. 49 2005 The Cauchy problem for a strongly degenerate quasilinear equation. Zbl 1082.35089Andreu, F.; Caselles, V.; Mazón, J. M. 32 2005 Traffic plans. Zbl 1086.49029Bernot, Marc; Caselles, Vicent; Morel, Jean-Michel 31 2005 A strongly degenerate quasilinear equation: the parabolic case. Zbl 1112.35111Andreu, Fuensanta; Caselles, Vicent; Mazón, José M. 26 2005 Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow. Zbl 1084.49003Alter, F.; Caselles, V.; Chambolle, A. 25 2005 A strongly degenerate quasilinear elliptic equation. Zbl 1190.35100Andreu, F.; Caselles, V.; Mazón, J. M. 25 2005 Explicit solutions of the eigenvalue problem \(-\text{div}\left(\frac {Du} {|Du|}\right)=u\) in \(\mathbb R^2\). Zbl 1162.35379Bellettini, Giovanni; Caselles, Vicent; Novaga, Matteo 25 2005 A contrast invariant approach to motion estimation. Zbl 1119.68465Caselles, V.; Garrido, L.; Igual, L. 1 2005 Parabolic quasilinear equations minimizing linear growth functionals. Zbl 1053.35002Andreu-Vaillo, Fuensanta; Caselles, Vicent; Mazón, José M. 164 2004 A strongly degenerate quasilinear equation: the elliptic case. Zbl 1117.35022Andreu, Fuensanta; Caselles, Vicent; Mazón, José M. 14 2004 The minimizing total variation flow with measure initial conditions. Zbl 1082.35090Andreu, F.; Mazón, J. M.; Moll, J. S.; Caselles, V. 13 2004 Disocclusion by joint interpolation of vector fields and gray levels. Zbl 1079.68634Ballester, Coloma; Caselles, Vicent; Verdera, Joan 5 2004 Morse description and morphological encoding of continuous data. Zbl 1079.68103Caselles, Vicent; Sapiro, Guillermo; Solé, Andrés; Ballester, Coloma 2 2004 TV based image restoration with local constraints. Zbl 1034.49036Bertalmio, M.; Caselles, V.; Rougé, B.; Solé, A. 31 2003 The tree of shapes of an image. Zbl 1073.68094Ballester, Coloma; Caselles, Vicent; Monasse, P. 10 2003 The Cauchy problem for linear growth functionals. Zbl 1028.35054Andreu, F.; Caselles, V.; Mazón, J. M. 8 2003 The total variation flow in \(\mathbb R^N\). Zbl 1036.35099Bellettini, G.; Caselles, V.; Novaga, M. 110 2002 Some qualitative properties for the total variation flow. Zbl 1042.35018Andreu, F.; Caselles, V.; Díaz, J. I.; Mazón, J. M. 59 2002 Existence and uniqueness of a solution for a parabolic quasilinear problem for linear growth functionals with \(L^1\) data. Zbl 1056.35085Andreu-Vaillo, F.; Caselles, V.; Mazón, J. M. 29 2002 A parabolic quasilinear problem for linear growth functionals. Zbl 1010.35063Andreu, Fuensanta; Caselles, Vincent; Mazón, José M. 15 2002 Grain filters. Zbl 1028.68140Caselles, Vicent; Monasse, Pascal 10 2002 Geometry and color in natural images. Zbl 0994.68167Caselles, Vicent; Coll, Bartomeu; Morel, Jean-Michel 9 2002 Irrigation. Zbl 1046.76038Caselles, Vicent; Morel, Jean-Michel 2 2002 The Dirichlet problem for the total variation flow. Zbl 0973.35109Andreu, F.; Ballester, C.; Caselles, V.; Mazón, J. M. 93 2001 Minimizing total variation flow. Zbl 1020.35037Andreu, F.; Ballester, C.; Caselles, V.; Mazón, J. M. 86 2001 Connected components of sets of finite perimeter and applications to image processing. Zbl 0981.49024Ambrosio, Luigi; Caselles, Vicent; Masnou, Simon; Morel, Jean-Michel 75 2001 Filling-in by joint interpolation of vector fields and gray levels. Zbl 1037.68771Ballester, Coloma; Bertalmio, M.; Caselles, V.; Sapiro, Guillermo; Verdera, Joan 60 2001 Color image enhancement via chromaticity diffusion. Zbl 1037.68792Tang, Bei; Sapiro, Guillermo; Caselles, Vicent 31 2001 The \(M\)-components of level sets of continuous functions in WBV. Zbl 0991.54013Ballester, Coloma; Caselles, Vicent 2 2001 Minimizing total variation flow. Zbl 0973.35113Andreu, Fuensanta; Ballester, Coloma; Caselles, Vicent; Mazón, José M. 29 2000 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,219 Authors 49 Caselles Costa, Vicent 34 Mazón Ruiz, José M. 32 Novaga, Matteo 31 Chambolle, Antonin 21 Wu, Boying 20 Segura de León, Sergio 18 Burger, Martin 17 Andreu, Fuensanta 17 Rossi, Julio Daniel 15 Gilboa, Guy 15 Moll, Salvador 14 Chen, Ke 14 Le Guyader, Carole 14 Mikula, Karol 14 Tai, Xuecheng 14 Weickert, Joachim 13 Guo, Zhichang 13 Soler, Juan S. 13 Wirth, Benedikt 12 Osher, Stanley Joel 12 Zhu, Wei 11 Bellomo, Nicola 11 Géraud, Thierry 11 Giga, Yoshikazu 11 Hintermüller, Michael 11 Morel, Jean-Michel 11 Peyré, Gabriel 11 Vese, Luminita A. 11 Welk, Martin 10 Calvo, Juan G. 10 Marchese, Andrea 10 Pimenta, Marcos T. O. 10 Rybka, Piotr 10 Saracco, Giorgio 10 Scherzer, Otmar 9 Aujol, Jean-François 9 Bellettini, Giovanni 9 Gout, Christian 9 He, Chuanjiang 9 Rumpf, Martin 9 Steidl, Gabriele 9 Zeng, Tie Yong 8 Boutry, Nicolas 8 Bredies, Kristian 8 Chen, Bo 8 Leonardi, Gian Paolo 8 Mercier, Gwenael 8 Morini, Massimiliano 8 Najman, Laurent 8 Papadakis, Nicolas 8 Shirakawa, Ken 8 Wei, Guowei 8 Yang, Yunyun 7 Ballester, Coloma 7 Bartels, Sören 7 Brancolini, Alessio 7 Bressan, Alberto 7 Bungert, Leon 7 Campos, Juan 7 Cremers, Daniel 7 Giacomelli, Lorenzo 7 Huang, Ting-Zhu 7 Iglesias, José Antonio 7 Kang, Sung Ha 7 Lachaud, Jacques-Olivier 7 Santambrogio, Filippo 7 Sapiro, Guillermo 7 Schönlieb, Carola-Bibiane 7 Vazquez, Juan Luis 7 Wunderli, Thomas 7 Zhang, Dazhi 6 Carlier, Guillaume 6 Colombo, Maria 6 De Cicco, Virginia 6 Duan, Yuping 6 Facciolo, Gabriele 6 Figalli, Alessio 6 Fuchs, Martin 6 Li, Fang 6 Liu, Fang 6 Pock, Thomas 6 Ponsiglione, Marcello 6 Pratelli, Aldo 6 Yang, Xiaoping 5 Alves, Claudianor Oliveira 5 Aubert, Gilles 5 Bildhauer, Michael 5 Biros, George 5 Bucur, Dorin 5 Chan, Tony Fan-Cheong 5 Cohen, Laurent D. 5 Díaz Díaz, Jesús Ildefonso 5 Juutinen, Petri 5 Kang, Myungjoo 5 Li, Meng 5 Liu, Qiang 5 Maggi, Francesco 5 Miranda, Michele jun. 5 Muratov, Cyrill B. 5 Orlandi, Giandomenico ...and 2,119 more Authors all top 5 Cited in 285 Serials 130 Journal of Mathematical Imaging and Vision 75 SIAM Journal on Imaging Sciences 48 Journal of Scientific Computing 41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 40 International Journal of Computer Vision 36 Calculus of Variations and Partial Differential Equations 31 Journal of Mathematical Analysis and Applications 29 Journal of Differential Equations 29 Pattern Recognition 28 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 25 Journal of Computational Physics 25 Inverse Problems and Imaging 24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 23 Archive for Rational Mechanics and Analysis 19 Inverse Problems 19 Journal of Functional Analysis 16 Computers & Mathematics with Applications 16 Applied Mathematical Modelling 16 International Journal of Computer Mathematics 16 Journal de Mathématiques Pures et Appliquées. 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Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Multidimensional Systems and Signal Processing 3 Applications of Mathematics 3 Communications in Partial Differential Equations 3 SIAM Review 3 Computational Optimization and Applications 3 Computational and Applied Mathematics 3 Journal of Convex Analysis 3 Acta Mathematica Sinica. English Series 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Milan Journal of Mathematics 3 Multiscale Modeling & Simulation 3 Acta Numerica ...and 185 more Serials all top 5 Cited in 47 Fields 543 Partial differential equations (35-XX) 483 Information and communication theory, circuits (94-XX) 434 Computer science (68-XX) 398 Calculus of variations and optimal control; optimization (49-XX) 392 Numerical analysis (65-XX) 147 Biology and other natural sciences (92-XX) 103 Operations research, mathematical programming (90-XX) 91 Differential geometry (53-XX) 69 Operator theory (47-XX) 64 Statistics (62-XX) 64 Fluid mechanics (76-XX) 54 Real functions (26-XX) 54 Functional analysis (46-XX) 46 Measure and integration (28-XX) 45 Probability theory and stochastic processes (60-XX) 38 Mechanics of deformable solids (74-XX) 33 Global analysis, analysis on manifolds (58-XX) 25 Convex and discrete geometry (52-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Combinatorics (05-XX) 20 Systems theory; control (93-XX) 19 Statistical mechanics, structure of matter (82-XX) 15 Ordinary differential equations (34-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Integral equations (45-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 9 Difference and functional equations (39-XX) 9 Approximations and expansions (41-XX) 8 Potential theory (31-XX) 8 Geometry (51-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Geophysics (86-XX) 5 Mechanics of particles and systems (70-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functions of a complex variable (30-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 4 Optics, electromagnetic theory (78-XX) 3 Integral transforms, operational calculus (44-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year