# zbMATH — the first resource for mathematics

## Bertalmío, Marcelo

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 Author ID: bertalmio.marcelo Published as: Bertalmio, M.; Bertalmío, M.; Bertalmío, Marcelo External Links: ORCID
 Documents Indexed: 20 Publications since 2001, including 1 Book
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#### Co-Authors

 2 single-authored 6 Batard, Thomas 5 Caselles Costa, Vicent 4 Vazquez-Corral, Javier 3 Levine, Stacey E. 3 Sapiro, Guillermo 1 Ballester, Coloma 1 Bugeau, Aurélie 1 Cardelino, Juan 1 Cheng, Li-Tien 1 Cyriac, Praveen 1 Ferradans, Sira 1 Galdran, Adrian 1 Ghimpeţeanu, Gabriela 1 Gil Rodríguez, R. 1 Osher, Stanley Joel 1 Pardo, David 1 Randall, Gregory 1 Rougé, Bernard 1 Solé, Albert 1 Verdera, Joan 1 Zamir, Syed Waqas
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#### Serials

 7 IEEE Transactions on Image Processing 6 SIAM Journal on Imaging Sciences 1 Journal of Computational Physics 1 Journal of Scientific Computing 1 Journal of Mathematical Imaging and Vision 1 Boletín de la Sociedad Española de Matemática Aplicada. S$$\vec{\text{e}}$$MA 1 Geometry, Imaging and Computing 1 Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series
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#### Fields

 17 Information and communication theory, circuits (94-XX) 11 Computer science (68-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH

15 Publications have been cited 201 times in 189 Documents Cited by Year
Variational problems and partial differential equations on implicit surfaces. Zbl 0991.65055
Bertalmío, Marcelo; Cheng, Li-Tien; Osher, Stanley; Sapiro, Guillermo
2001
Filling-in by joint interpolation of vector fields and gray levels. Zbl 1037.68771
Ballester, Coloma; Bertalmio, M.; Caselles, V.; Sapiro, Guillermo; Verdera, Joan
2001
TV based image restoration with local constraints. Zbl 1034.49036
Bertalmio, M.; Caselles, V.; Rougé, B.; Solé, A.
2003
A comprehensive framework for image inpainting. Zbl 1371.94065
Bugeau, Aurélie; Bertalmío, Marcelo; Caselles, Vicent; Sapiro, Guillermo
2010
Image processing for cinema. Zbl 1285.68002
Bertalmío, Marcelo
2014
A contrario selection of optimal partitions for image segmentation. Zbl 1279.68321
Cardelino, Juan; Caselles, Vicent; Bertalmío, Marcelo; Randall, Gregory
2013
A geometric model of brightness perception and its application to color images correction. Zbl 1437.94007
Batard, Thomas; Bertalmío, Marcelo
2018
A class of nonlocal variational problems on a vector bundle for color image local contrast reduction/enhancement. Zbl 1344.49070
Batard, Thomas; Bertalmío, Marcelo
2015
Enhanced variational image dehazing. Zbl 1341.94004
Galdran, Adrian; Vazquez-Corral, Javier; Pardo, David; Bertalmío, Marcelo
2015
Color stabilization along time and across shots of the same scene, for one or several cameras of unknown specifications. Zbl 1374.94378
Vazquez-Corral, Javier; Bertalmío, Marcelo
2014
On covariant derivatives and their applications to image regularization. Zbl 1361.94007
Batard, Thomas; Bertalmío, Marcelo
2014
Denoising an image by denoising its curvature image. Zbl 1298.68283
Bertalmío, Marcelo; Levine, Stacey
2014
A nonlocal variational formulation for the improvement of tone mapped images. Zbl 1361.94011
Cyriac, Praveen; Batard, Thomas; Bertalmío, Marcelo
2014
Variational approach for the fusion of exposure bracketed pairs. Zbl 1373.94041
Bertalmío, Marcelo; Levine, Stacey
2013
Geometry-based demosaicking. Zbl 1371.94126
Ferradans, Sira; Bertalmío, Marcelo; Caselles, Vicent
2009
A geometric model of brightness perception and its application to color images correction. Zbl 1437.94007
Batard, Thomas; Bertalmío, Marcelo
2018
A class of nonlocal variational problems on a vector bundle for color image local contrast reduction/enhancement. Zbl 1344.49070
Batard, Thomas; Bertalmío, Marcelo
2015
Enhanced variational image dehazing. Zbl 1341.94004
Galdran, Adrian; Vazquez-Corral, Javier; Pardo, David; Bertalmío, Marcelo
2015
Image processing for cinema. Zbl 1285.68002
Bertalmío, Marcelo
2014
Color stabilization along time and across shots of the same scene, for one or several cameras of unknown specifications. Zbl 1374.94378
Vazquez-Corral, Javier; Bertalmío, Marcelo
2014
On covariant derivatives and their applications to image regularization. Zbl 1361.94007
Batard, Thomas; Bertalmío, Marcelo
2014
Denoising an image by denoising its curvature image. Zbl 1298.68283
Bertalmío, Marcelo; Levine, Stacey
2014
A nonlocal variational formulation for the improvement of tone mapped images. Zbl 1361.94011
Cyriac, Praveen; Batard, Thomas; Bertalmío, Marcelo
2014
A contrario selection of optimal partitions for image segmentation. Zbl 1279.68321
Cardelino, Juan; Caselles, Vicent; Bertalmío, Marcelo; Randall, Gregory
2013
Variational approach for the fusion of exposure bracketed pairs. Zbl 1373.94041
Bertalmío, Marcelo; Levine, Stacey
2013
A comprehensive framework for image inpainting. Zbl 1371.94065
Bugeau, Aurélie; Bertalmío, Marcelo; Caselles, Vicent; Sapiro, Guillermo
2010
Geometry-based demosaicking. Zbl 1371.94126
Ferradans, Sira; Bertalmío, Marcelo; Caselles, Vicent
2009
TV based image restoration with local constraints. Zbl 1034.49036
Bertalmio, M.; Caselles, V.; Rougé, B.; Solé, A.
2003
Variational problems and partial differential equations on implicit surfaces. Zbl 0991.65055
Bertalmío, Marcelo; Cheng, Li-Tien; Osher, Stanley; Sapiro, Guillermo
2001
Filling-in by joint interpolation of vector fields and gray levels. Zbl 1037.68771
Ballester, Coloma; Bertalmio, M.; Caselles, V.; Sapiro, Guillermo; Verdera, Joan
2001
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#### Cited by 377 Authors

 8 Ruuth, Steven J. 5 Elliott, Charles M. 5 Hintermüller, Michael 5 Olshanskii, Maxim A. 5 Voigt, Axel 5 Zeng, Tie Yong 4 Bertalmío, Marcelo 4 Caselles Costa, Vicent 4 Huang, Ting-Zhu 4 Leung, Shingyu 4 Sapiro, Guillermo 3 Batard, Thomas 3 Dehghan Takht Fooladi, Mehdi 3 Dziuk, Gerhard 3 Kim, Junseok 3 Ma, Tian-Hui 3 Macdonald, Colin B. 3 Nitschke, Ingo 3 Rautenberg, Carlos N. 3 Schönlieb, Carola-Bibiane 3 Yashtini, Maryam 3 Zhao, Xile 2 Amat, Sergio P. 2 Arias, Pablo 2 Ballester, Coloma 2 Boscain, Ugo 2 Brandman, Jeremy 2 Bredies, Kristian 2 Brito-Loeza, Carlos 2 Burger, Martin 2 Bustos, Oscar H. 2 Chen, Ke 2 Chen, Sheng-Gwo 2 Chen, Shikui 2 Chernyshenko, Alexey Y. 2 Chertovskih, Roman A. 2 Chun, Sehun 2 Dede, Luca 2 Dong, Yiqiu 2 Elmoataz, Abderrahim 2 Facciolo, Gabriele 2 Fedkiw, Ronald P. 2 Frick, Klaus 2 Frittelli, Massimo 2 Gauthier, Jean-Paul A. 2 Greer, John B. 2 Hahn, Jooyoung 2 Harlim, John 2 Hocking, L. Robert 2 Jin, Zhengmeng 2 Ju, Lili 2 Jung, Miyoun 2 Kang, Myeongmin 2 Kang, Myungjoo 2 Kang, Sung Ha 2 Koumoutsakos, Petros D. 2 Kröner, Heiko 2 Kropinski, Mary Catherine A. 2 Langer, Andreas 2 Li, Fang 2 Ling, Leevan 2 Marnitz, Philipp 2 Masnou, Simon 2 Mehra, Mani 2 Melara, Luis A. Jr. 2 Merriman, Barry 2 Mohammadi, Vahid 2 Munk, Axel 2 Nestler, Michael 2 Nigam, Nilima 2 Olver, Peter John 2 Osher, Stanley Joel 2 Pock, Thomas 2 Prandi, Dario 2 Quarteroni, Alfio M. 2 Remizov, Alexey O. 2 Sethian, James A. 2 Sgura, Ivonne 2 Shi, Zuoqiang 2 Steidl, Gabriele 2 Styles, Vanessa 2 Tai, Xuecheng 2 Tenbrinck, Daniel 2 Tsai, Yen-Hsi Richard 2 Vazquez-Corral, Javier 2 Wang, Si 2 Wirth, Benedikt 2 Wu, Chunlin 2 Wu, Jyh-Yang 2 Xu, Xianmin 2 Yang, Xiaoping 1 Adalsteinsson, David 1 Adami, Stefan 1 Adams, Nikolaus A. 1 Almansa, Andrés 1 Alrefaya, Musa 1 Alves, Carlos J. S. 1 Ambruş, Victor E. 1 Andreu, Fuensanta 1 Angulo-Umaña, Pedro ...and 277 more Authors
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#### Cited in 64 Serials

 28 Journal of Computational Physics 19 Journal of Scientific Computing 17 Journal of Mathematical Imaging and Vision 13 SIAM Journal on Imaging Sciences 7 Computer Methods in Applied Mechanics and Engineering 6 SIAM Journal on Scientific Computing 5 Advances in Computational Mathematics 4 Computers & Mathematics with Applications 3 Mathematics of Computation 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Computer Mathematics 3 Computing and Visualization in Science 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Computational Statistics and Data Analysis 2 Applied and Computational Harmonic Analysis 2 International Journal of Computer Vision 2 Computational and Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Multiscale Modeling & Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Inverse Problems and Imaging 2 SIAM/ASA Journal on Uncertainty Quantification 2 Research in the Mathematical Sciences 1 Computers and Fluids 1 International Journal of Engineering Science 1 Journal of Mathematical Biology 1 Rocky Mountain Journal of Mathematics 1 Journal of Functional Analysis 1 Rendiconti del Seminario Matematico della Università di Padova 1 Computer Aided Geometric Design 1 Discrete & Computational Geometry 1 Applied Mathematics Letters 1 Machine Vision and Applications 1 Multidimensional Systems and Signal Processing 1 Machine Learning 1 Pattern Recognition 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Top 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Milan Journal of Mathematics 1 Structural and Multidisciplinary Optimization 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Optimization Letters 1 Electronic Journal of Statistics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Frontiers of Computer Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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#### Cited in 29 Fields

 124 Numerical analysis (65-XX) 69 Partial differential equations (35-XX) 56 Information and communication theory, circuits (94-XX) 47 Computer science (68-XX) 31 Global analysis, analysis on manifolds (58-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 17 Fluid mechanics (76-XX) 11 Statistics (62-XX) 10 Operations research, mathematical programming (90-XX) 10 Biology and other natural sciences (92-XX) 7 Differential geometry (53-XX) 5 Mechanics of deformable solids (74-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX)