Edit Profile (opens in new tab) Sapiro, Guillermo Compute Distance To: Compute Author ID: sapiro.guillermo Published as: Sapiro, Guillermo; Sapiro, G. External Links: MGP Documents Indexed: 84 Publications since 1993, including 2 Books 1 Contribution as Editor Co-Authors: 102 Co-Authors with 80 Joint Publications 2,951 Co-Co-Authors all top 5 Co-Authors 5 single-authored 12 Caselles Costa, Vicent 10 Tannenbaum, Allen Robert 6 Carin, Lawrence 5 Giblin, Peter J. 5 Kimmel, Ron 5 Mémoli, Facundo 4 Olver, Peter John 4 Osher, Stanley Joel 3 Bertalmío, Marcelo 3 Brady, David J. 3 Bronstein, Alex M. 3 Bruckstein, Alfred Marcel 3 Eldar, Yonina Chana 3 Giryes, Raja 3 Liao, Xuejun 3 Llull, Patrick 3 Qiu, Qiang 3 Ramírez, Ignacio 3 Solé, Andres Fco. 3 Sprechmann, Pablo 3 Yang, Jianbo 3 Yu, Guoshen 3 Yuan, Xin 2 Ballester, Coloma 2 Bar, Leah 2 Bartesaghi, Alberto 2 Betelú, Santiago I. 2 Bronstein, Alexander M. 2 Bronstein, Michael M. 2 Cheng, Li-Tien 2 Delbracio, Mauricio 2 Duarte-Carvajalino, Julio Martin 2 Mahmoudi, Mona 2 Mairal, Julien 2 Rumpf, Martin 2 Sbert, Catalina 2 Shu, Chi-Wang 2 Tepper, Mariano 2 Xing, Zhengming 2 Zhou, Mingyuan 1 Aguerrebere, Cecilia 1 Angenent, Sigurd Bernardus 1 Aràndiga, Francesc 1 Arias, Pablo 1 Bach, Francis R. 1 Bertozzi, Andrea Louise 1 Bugeau, Aurélie 1 Burchard, Paul 1 Calderbank, Arthur Robert 1 Castrodad, Alexey 1 Chen, Haojun 1 Chung, Do Hyun 1 Daubechies, Ingrid Chantal 1 Dunson, David Brian 1 Elad, Michael 1 Esser, Ernie 1 Facciolo, Gabriele 1 Fedkiw, Ron 1 Fedkiw, Ronald P. 1 Fiori, Marcelo 1 Greer, John B. 1 Haro, Gloria 1 Kim, Yunho 1 Kittle, David 1 Lecumberry, Federico 1 Lenglet, Christophe 1 Li, Lingbo 1 Lopez, Antonio M. jun. 1 Lu, Jianfeng 1 Mallat, Stephane Georges 1 Mennucci, Andrea Carlo Giuseppe 1 Michaeli, Tomer 1 Möller, Michael 1 Morel, Jean-Michel 1 Mueller, Bryon A. 1 Niethammer, Marc 1 Paisley, John William 1 Pardo, Álvaro 1 Pichon, Eric 1 Pokrass, Jonathan 1 Ponce, Jean 1 Randall, Gregory 1 Ren, Lu 1 Ringach, Dario L. 1 Rodrigues, Miguel R. D. 1 Schröder, Peter 1 Sokolić, Jure 1 Sundaramoorthi, Ganesh 1 Tang, Bei 1 Teo, Patrick C. 1 Thompson, Paul M. 1 Tsai, Yen-Hsi Richard 1 Verdera, Joan 1 Vese, Luminita A. 1 Wandell, Brian A. 1 Wang, Bao 1 Wirth, Benedikt 1 Xin, Jack X. 1 Yatziv, Liron 1 Yezzi, Anthony jun. ...and 2 more Co-Authors all top 5 Serials 13 IEEE Transactions on Image Processing 10 IEEE Transactions on Signal Processing 7 Journal of Computational Physics 7 International Journal of Computer Vision 3 SIAM Journal on Imaging Sciences 2 Acta Applicandae Mathematicae 2 SIAM Journal on Applied Mathematics 2 Journal of Mathematical Imaging and Vision 2 Journal of Machine Learning Research (JMLR) 2 Multiscale Modeling & Simulation 2 Information and Inference 1 Computers & Mathematics with Applications 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Numerische Mathematik 1 Journal of the American Mathematical Society 1 Pattern Recognition 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Methods and Applications of Analysis 1 Computer Vision and Image Understanding 1 Foundations of Computational Mathematics 1 Oberwolfach Reports 1 SIAM Journal on Mathematics of Data Science all top 5 Fields 43 Computer science (68-XX) 30 Information and communication theory, circuits (94-XX) 20 Numerical analysis (65-XX) 17 Differential geometry (53-XX) 16 Partial differential equations (35-XX) 13 Statistics (62-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 61 Publications have been cited 1,397 times in 1,150 Documents Cited by ▼ Year ▼ Geodesic active contours. Zbl 0894.68131Caselles, Vicent; Kimmel, Ron; Sapiro, Guillermo 326 1997 Variational problems and partial differential equations on implicit surfaces. Zbl 0991.65055Bertalmío, Marcelo; Cheng, Li-Tien; Osher, Stanley; Sapiro, Guillermo 112 2001 Geometric partial differential equations and image analysis. Zbl 0968.35001Sapiro, Guillermo 98 2001 Online learning for matrix factorization and sparse coding. Zbl 1242.62087Mairal, Julien; Bach, Francis; Ponce, Jean; Sapiro, Guillermo 94 2010 On affine plane curve evolution. Zbl 0801.53008Sapiro, Guillermo; Tannenbaum, Allen 62 1994 Filling-in by joint interpolation of vector fields and gray levels. Zbl 1037.68771Ballester, Coloma; Bertalmio, M.; Caselles, V.; Sapiro, Guillermo; Verdera, Joan 54 2001 Fourth order partial differential equations on general geometries. Zbl 1097.65087Greer, John B.; Bertozzi, Andrea L.; Sapiro, Guillermo 54 2006 A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022Mémoli, Facundo; Sapiro, Guillermo 41 2005 Solving inverse problems with piecewise linear estimators: from Gaussian mixture models to structured sparsity. Zbl 1373.94471Yu, Guoshen; Sapiro, Guillermo; Mallat, Stéphane 38 2012 Learning multiscale sparse representations for image and video restoration. Zbl 1194.49041Mairal, Julien; Sapiro, Guillermo; Elad, Michael 37 2008 A variational framework for exemplar-based image inpainting. Zbl 1235.94015Arias, Pablo; Facciolo, Gabriele; Caselles, Vicent; Sapiro, Guillermo 37 2011 On the affine heat equation for non-convex curves. Zbl 0902.35048Angenent, Sigurd; Sapiro, Guillermo; Tannenbaum, Allen 29 1998 Color image enhancement via chromaticity diffusion. Zbl 1037.68792Tang, Bei; Sapiro, Guillermo; Caselles, Vicent 29 2001 Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces. Zbl 0991.65018Mémoli, Facundo; Sapiro, Guillermo 26 2001 On invariant curve evolution and image analysis. Zbl 0793.53002Sapiro, Guillermo; Tannenbaum, Allen 24 1993 Geometric partial differential equations and image analysis. Zbl 1141.35002Sapiro, Guillermo 24 2006 Anisotropic diffusion of multivalued images. Zbl 0852.68113Sapiro, Guillermo; Ringach, Dario L. 20 1996 O(\(N\)) implementation of the fast marching algorithm. Zbl 1083.65083Yatziv, Liron; Bartesaghi, Alberto; Sapiro, Guillermo 20 2006 Shock capturing, level sets, and PDE based methods in computer vision and image processing: A review of Osher’s contributions. Zbl 1026.68147Fedkiw, Ronald P.; Sapiro, Guillermo; Shu, Chi-Wang 19 2003 Learning to sense sparse signals: simultaneous sensing matrix and sparsifying dictionary optimization. Zbl 1371.94555Duarte-Carvajalino, Julio Martin; Sapiro, Guillermo 18 2009 Nonparametric Bayesian dictionary learning for analysis of noisy and incomplete images. Zbl 1373.62334Zhou, Mingyuan; Chen, Haojun; Paisley, John; Ren, Lu; Li, Lingbo; Xing, Zhengming; Dunson, David; Sapiro, Guillermo; Carin, Lawrence 17 2012 Affine-invariant distances, envelopes and symmetry sets. Zbl 0902.53001Giblin, Peter J.; Sapiro, Guillermo 15 1998 Visibility and its dynamics in a PDE based implicit framework. Zbl 1056.65018Tsai, Y.-H. R.; Cheng, L.-T.; Osher, S.; Burchard, P.; Sapiro, G. 14 2004 A convex model for nonnegative matrix factorization and dimensionality reduction on physical space. Zbl 1373.15021Esser, Ernie; Möller, Michael; Osher, Stanley; Sapiro, Guillermo; Xin, Jack 13 2012 Distance functions and geodesics on submanifolds of \({\mathbb R}^d\) and point clouds. Zbl 1079.65020Mémoli, Facundo; Sapiro, Guillermo 13 2005 Histogram modification via differential equations. Zbl 0913.35141Sapiro, Guillermo; Caselles, Vicent 12 1997 Dictionary learning for noisy and incomplete hyperspectral images. Zbl 1316.62094Xing, Zhengming; Zhou, Mingyuan; Castrodad, Alexey; Sapiro, Guillermo; Carin, Lawrence 11 2012 Minimal surfaces: A geometric three dimensional segmentation approach. Zbl 0891.68093Caselles, Vicent; Kimmel, Ron; Sapiro, Guillermo; Sbert, Catalina 10 1997 Solving variational problems and partial differential equations mapping into general target manifolds. Zbl 1044.65060Mémoli, Facundo; Sapiro, Guillermo; Osher, Stanley 10 2004 A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo 10 2011 A comprehensive framework for image inpainting. Zbl 1371.94065Bugeau, Aurélie; Bertalmío, Marcelo; Caselles, Vicent; Sapiro, Guillermo 9 2010 Vector median filters, inf-sup operations, and coupled PDE’s: Theoretical connections. Zbl 0955.68116Caselles, Vicent; Sapiro, Guillermo; Chung, Do Hyun 8 2000 Invariant geometric evolutions of surfaces and volumetric smoothing. Zbl 0874.35044Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 8 1997 Affine invariant detection: Edge maps, anisotropic diffusion, and active contours. Zbl 1005.53010Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 7 1999 Video compressive sensing using Gaussian mixture models. Zbl 1374.94424Yang, Jianbo; Yuan, Xin; Liao, Xuejun; Llull, Patrick; Brady, David J.; Sapiro, Guillermo; Carin, Lawrence 7 2014 Robust large margin deep neural networks. Zbl 1414.68076Sokolić, Jure; Giryes, Raja; Sapiro, Guillermo; Rodrigues, Miguel R. D. 7 2017 Fundamental limits in multi-image alignment. Zbl 1414.94008Aguerrebere, Cecilia; Delbracio, Mauricio; Bartesaghi, Alberto; Sapiro, Guillermo 7 2016 C-HiLasso: a collaborative hierarchical sparse modeling framework. Zbl 1392.94467Sprechmann, Pablo; Ramírez, Ignacio; Sapiro, Guillermo; Eldar, Yonina C. 6 2011 Deep neural networks with random Gaussian weights: a universal classification strategy? Zbl 1414.94217Giryes, Raja; Sapiro, Guillermo; Bronstein, Alex M. 5 2016 A Gromov-Hausdorff framework with diffusion geometry for topologically-robust non-rigid shape matching. Zbl 1477.68334Bronstein, Alexander M.; Bronstein, Michael M.; Kimmel, Ron; Mahmoudi, Mona; Sapiro, Guillermo 5 2010 Generalized Newton-type methods for energy formulations in image processing. Zbl 1179.35014Bar, Leah; Sapiro, Guillermo 4 2009 Sparse models for intrinsic shape correspondence. Zbl 1380.68404Pokrass, Jonathan; Bronstein, Alexander M.; Bronstein, Michael M.; Sprechmann, Pablo; Sapiro, Guillermo 4 2016 On spectral properties for graph matching and graph isomorphism problems. Zbl 1380.05160Fiori, Marcelo; Sapiro, Guillermo 4 2015 Tradeoffs between convergence speed and reconstruction accuracy in inverse problems. Zbl 1414.94216Giryes, Raja; Eldar, Yonina C.; Bronstein, Alex M.; Sapiro, Guillermo 3 2018 The ubiquitous ellipse. Zbl 0831.53002Sapiro, Guillermo; Bruckstein, Alfred M. 3 1995 Classification and uniqueness of invariant geometric flows. Zbl 0863.53008Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 3 1994 Temporal compressive sensing for video. Zbl 1333.94011Llull, Patrick; Yuan, Xin; Liao, Xuejun; Yang, Jianbo; Kittle, David; Carin, Lawrence; Sapiro, Guillermo; Brady, David J. 2 2015 Morse description and morphological encoding of continuous data. Zbl 1079.68103Caselles, Vicent; Sapiro, Guillermo; Solé, Andrés; Ballester, Coloma 2 2004 Translated Poisson mixture model for stratification learning. Zbl 1477.68265Haro, Gloria; Randall, Gregory; Sapiro, Guillermo 2 2008 New possibilities with Sobolev active contours. Zbl 1477.68428Sundaramoorthi, Ganesh; Yezzi, Anthony; Mennucci, Andrea C.; Sapiro, Guillermo 2 2009 Learning transformations for clustering and classification. Zbl 1337.68230Qiu, Qiang; Sapiro, Guillermo 2 2015 Crease enhancement diffusion. Zbl 1017.68142Solé, Andres Fco.; López, Antonio; Sapiro, Guillermo 1 2001 Universal regularizers for robust sparse coding and modeling. Zbl 1373.94847Ramírez, Ignacio; Sapiro, Guillermo 1 2012 A vectorial total variation model for denoising high angular resolution diffusion images corrupted by Rician noise. Zbl 1293.49030Tong, M.; Kim, Y.; Zhan, L.; Sapiro, G.; Lenglet, C.; Mueller, B. A.; Thompson, P. M.; Vese, L. A. 1 2014 Compressive sensing by learning a Gaussian mixture model from measurements. Zbl 1408.94877Yang, Jianbo; Liao, Xuejun; Yuan, Xin; Llull, Patrick; Brady, David J.; Sapiro, Guillermo; Carin, Lawrence 1 2015 3D active contours. Zbl 0851.68117Caselles, V.; Kimmel, R.; Sapiro, G.; Sbert, C. 1 1996 Shortening three-dimensional curves via two-dimensional flows. Zbl 0816.65150Kimmel, R.; Sapiro, G. 1 1995 Area-based medial axis of planar curves. Zbl 1477.68484Niethammer, Marc; Betelu, Santiago; Sapiro, Guillermo; Tannenbaum, Allen; Giblin, Peter J. 1 2004 Statistical compressed sensing of Gaussian mixture models. Zbl 1393.94728Yu, Guoshen; Sapiro, Guillermo 1 2011 An MDL framework for sparse coding and dictionary learning. Zbl 1393.94708Ramírez, Ignacio; Sapiro, Guillermo 1 2012 A biclustering framework for consensus problems. Zbl 1305.62230Tepper, Mariano; Sapiro, Guillermo 1 2014 Tradeoffs between convergence speed and reconstruction accuracy in inverse problems. Zbl 1414.94216Giryes, Raja; Eldar, Yonina C.; Bronstein, Alex M.; Sapiro, Guillermo 3 2018 Robust large margin deep neural networks. Zbl 1414.68076Sokolić, Jure; Giryes, Raja; Sapiro, Guillermo; Rodrigues, Miguel R. D. 7 2017 Fundamental limits in multi-image alignment. Zbl 1414.94008Aguerrebere, Cecilia; Delbracio, Mauricio; Bartesaghi, Alberto; Sapiro, Guillermo 7 2016 Deep neural networks with random Gaussian weights: a universal classification strategy? Zbl 1414.94217Giryes, Raja; Sapiro, Guillermo; Bronstein, Alex M. 5 2016 Sparse models for intrinsic shape correspondence. Zbl 1380.68404Pokrass, Jonathan; Bronstein, Alexander M.; Bronstein, Michael M.; Sprechmann, Pablo; Sapiro, Guillermo 4 2016 On spectral properties for graph matching and graph isomorphism problems. Zbl 1380.05160Fiori, Marcelo; Sapiro, Guillermo 4 2015 Temporal compressive sensing for video. Zbl 1333.94011Llull, Patrick; Yuan, Xin; Liao, Xuejun; Yang, Jianbo; Kittle, David; Carin, Lawrence; Sapiro, Guillermo; Brady, David J. 2 2015 Learning transformations for clustering and classification. Zbl 1337.68230Qiu, Qiang; Sapiro, Guillermo 2 2015 Compressive sensing by learning a Gaussian mixture model from measurements. Zbl 1408.94877Yang, Jianbo; Liao, Xuejun; Yuan, Xin; Llull, Patrick; Brady, David J.; Sapiro, Guillermo; Carin, Lawrence 1 2015 Video compressive sensing using Gaussian mixture models. Zbl 1374.94424Yang, Jianbo; Yuan, Xin; Liao, Xuejun; Llull, Patrick; Brady, David J.; Sapiro, Guillermo; Carin, Lawrence 7 2014 A vectorial total variation model for denoising high angular resolution diffusion images corrupted by Rician noise. Zbl 1293.49030Tong, M.; Kim, Y.; Zhan, L.; Sapiro, G.; Lenglet, C.; Mueller, B. A.; Thompson, P. M.; Vese, L. A. 1 2014 A biclustering framework for consensus problems. Zbl 1305.62230Tepper, Mariano; Sapiro, Guillermo 1 2014 Solving inverse problems with piecewise linear estimators: from Gaussian mixture models to structured sparsity. Zbl 1373.94471Yu, Guoshen; Sapiro, Guillermo; Mallat, Stéphane 38 2012 Nonparametric Bayesian dictionary learning for analysis of noisy and incomplete images. Zbl 1373.62334Zhou, Mingyuan; Chen, Haojun; Paisley, John; Ren, Lu; Li, Lingbo; Xing, Zhengming; Dunson, David; Sapiro, Guillermo; Carin, Lawrence 17 2012 A convex model for nonnegative matrix factorization and dimensionality reduction on physical space. Zbl 1373.15021Esser, Ernie; Möller, Michael; Osher, Stanley; Sapiro, Guillermo; Xin, Jack 13 2012 Dictionary learning for noisy and incomplete hyperspectral images. Zbl 1316.62094Xing, Zhengming; Zhou, Mingyuan; Castrodad, Alexey; Sapiro, Guillermo; Carin, Lawrence 11 2012 Universal regularizers for robust sparse coding and modeling. Zbl 1373.94847Ramírez, Ignacio; Sapiro, Guillermo 1 2012 An MDL framework for sparse coding and dictionary learning. Zbl 1393.94708Ramírez, Ignacio; Sapiro, Guillermo 1 2012 A variational framework for exemplar-based image inpainting. Zbl 1235.94015Arias, Pablo; Facciolo, Gabriele; Caselles, Vicent; Sapiro, Guillermo 37 2011 A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo 10 2011 C-HiLasso: a collaborative hierarchical sparse modeling framework. Zbl 1392.94467Sprechmann, Pablo; Ramírez, Ignacio; Sapiro, Guillermo; Eldar, Yonina C. 6 2011 Statistical compressed sensing of Gaussian mixture models. Zbl 1393.94728Yu, Guoshen; Sapiro, Guillermo 1 2011 Online learning for matrix factorization and sparse coding. Zbl 1242.62087Mairal, Julien; Bach, Francis; Ponce, Jean; Sapiro, Guillermo 94 2010 A comprehensive framework for image inpainting. Zbl 1371.94065Bugeau, Aurélie; Bertalmío, Marcelo; Caselles, Vicent; Sapiro, Guillermo 9 2010 A Gromov-Hausdorff framework with diffusion geometry for topologically-robust non-rigid shape matching. Zbl 1477.68334Bronstein, Alexander M.; Bronstein, Michael M.; Kimmel, Ron; Mahmoudi, Mona; Sapiro, Guillermo 5 2010 Learning to sense sparse signals: simultaneous sensing matrix and sparsifying dictionary optimization. Zbl 1371.94555Duarte-Carvajalino, Julio Martin; Sapiro, Guillermo 18 2009 Generalized Newton-type methods for energy formulations in image processing. Zbl 1179.35014Bar, Leah; Sapiro, Guillermo 4 2009 New possibilities with Sobolev active contours. Zbl 1477.68428Sundaramoorthi, Ganesh; Yezzi, Anthony; Mennucci, Andrea C.; Sapiro, Guillermo 2 2009 Learning multiscale sparse representations for image and video restoration. Zbl 1194.49041Mairal, Julien; Sapiro, Guillermo; Elad, Michael 37 2008 Translated Poisson mixture model for stratification learning. Zbl 1477.68265Haro, Gloria; Randall, Gregory; Sapiro, Guillermo 2 2008 Fourth order partial differential equations on general geometries. Zbl 1097.65087Greer, John B.; Bertozzi, Andrea L.; Sapiro, Guillermo 54 2006 Geometric partial differential equations and image analysis. Zbl 1141.35002Sapiro, Guillermo 24 2006 O(\(N\)) implementation of the fast marching algorithm. Zbl 1083.65083Yatziv, Liron; Bartesaghi, Alberto; Sapiro, Guillermo 20 2006 A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022Mémoli, Facundo; Sapiro, Guillermo 41 2005 Distance functions and geodesics on submanifolds of \({\mathbb R}^d\) and point clouds. Zbl 1079.65020Mémoli, Facundo; Sapiro, Guillermo 13 2005 Visibility and its dynamics in a PDE based implicit framework. Zbl 1056.65018Tsai, Y.-H. R.; Cheng, L.-T.; Osher, S.; Burchard, P.; Sapiro, G. 14 2004 Solving variational problems and partial differential equations mapping into general target manifolds. Zbl 1044.65060Mémoli, Facundo; Sapiro, Guillermo; Osher, Stanley 10 2004 Morse description and morphological encoding of continuous data. Zbl 1079.68103Caselles, Vicent; Sapiro, Guillermo; Solé, Andrés; Ballester, Coloma 2 2004 Area-based medial axis of planar curves. Zbl 1477.68484Niethammer, Marc; Betelu, Santiago; Sapiro, Guillermo; Tannenbaum, Allen; Giblin, Peter J. 1 2004 Shock capturing, level sets, and PDE based methods in computer vision and image processing: A review of Osher’s contributions. Zbl 1026.68147Fedkiw, Ronald P.; Sapiro, Guillermo; Shu, Chi-Wang 19 2003 Variational problems and partial differential equations on implicit surfaces. Zbl 0991.65055Bertalmío, Marcelo; Cheng, Li-Tien; Osher, Stanley; Sapiro, Guillermo 112 2001 Geometric partial differential equations and image analysis. Zbl 0968.35001Sapiro, Guillermo 98 2001 Filling-in by joint interpolation of vector fields and gray levels. Zbl 1037.68771Ballester, Coloma; Bertalmio, M.; Caselles, V.; Sapiro, Guillermo; Verdera, Joan 54 2001 Color image enhancement via chromaticity diffusion. Zbl 1037.68792Tang, Bei; Sapiro, Guillermo; Caselles, Vicent 29 2001 Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces. Zbl 0991.65018Mémoli, Facundo; Sapiro, Guillermo 26 2001 Crease enhancement diffusion. Zbl 1017.68142Solé, Andres Fco.; López, Antonio; Sapiro, Guillermo 1 2001 Vector median filters, inf-sup operations, and coupled PDE’s: Theoretical connections. Zbl 0955.68116Caselles, Vicent; Sapiro, Guillermo; Chung, Do Hyun 8 2000 Affine invariant detection: Edge maps, anisotropic diffusion, and active contours. Zbl 1005.53010Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 7 1999 On the affine heat equation for non-convex curves. Zbl 0902.35048Angenent, Sigurd; Sapiro, Guillermo; Tannenbaum, Allen 29 1998 Affine-invariant distances, envelopes and symmetry sets. Zbl 0902.53001Giblin, Peter J.; Sapiro, Guillermo 15 1998 Geodesic active contours. Zbl 0894.68131Caselles, Vicent; Kimmel, Ron; Sapiro, Guillermo 326 1997 Histogram modification via differential equations. Zbl 0913.35141Sapiro, Guillermo; Caselles, Vicent 12 1997 Minimal surfaces: A geometric three dimensional segmentation approach. Zbl 0891.68093Caselles, Vicent; Kimmel, Ron; Sapiro, Guillermo; Sbert, Catalina 10 1997 Invariant geometric evolutions of surfaces and volumetric smoothing. Zbl 0874.35044Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 8 1997 Anisotropic diffusion of multivalued images. Zbl 0852.68113Sapiro, Guillermo; Ringach, Dario L. 20 1996 3D active contours. Zbl 0851.68117Caselles, V.; Kimmel, R.; Sapiro, G.; Sbert, C. 1 1996 The ubiquitous ellipse. Zbl 0831.53002Sapiro, Guillermo; Bruckstein, Alfred M. 3 1995 Shortening three-dimensional curves via two-dimensional flows. Zbl 0816.65150Kimmel, R.; Sapiro, G. 1 1995 On affine plane curve evolution. Zbl 0801.53008Sapiro, Guillermo; Tannenbaum, Allen 62 1994 Classification and uniqueness of invariant geometric flows. Zbl 0863.53008Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 3 1994 On invariant curve evolution and image analysis. Zbl 0793.53002Sapiro, Guillermo; Tannenbaum, Allen 24 1993 all cited Publications top 5 cited Publications all top 5 Cited by 2,212 Authors 18 Osher, Stanley Joel 17 Sapiro, Guillermo 15 Kimmel, Ron 14 Tai, Xuecheng 13 Caselles Costa, Vicent 13 Chen, Ke 13 Mikula, Karol 12 Le Guyader, Carole 11 Wu, Boying 11 Xu, Guoliang 10 Ruuth, Steven J. 10 Zhu, Wei 9 Gout, Christian 9 Kim, Junseok 9 Morel, Jean-Michel 8 Bronstein, Alexander M. 8 Bronstein, Michael M. 8 Cremers, Daniel 8 Kang, Sung Ha 8 Rumpf, Martin 8 Tannenbaum, Allen Robert 8 Wei, Guowei 8 Weickert, Joachim 8 Yang, Yunyun 7 Elad, Michael 7 Huang, Ting-Zhu 7 Ivaki, Mohammad N. 7 Leung, Shingyu 7 Shi, Zuoqiang 7 Wu, Chunlin 6 Bruckstein, Alfred Marcel 6 Burger, Martin 6 Chan, Tony Fan-Cheong 6 Dong, Bin 6 Elliott, Charles M. 6 Elmoataz, Abderrahim 6 He, Chuanjiang 6 Li, Yibao 6 Mémoli, Facundo 6 Ng, Michael Kwok-Po 6 Qu, Changzheng 6 Tsai, Yen-Hsi Richard 6 Vese, Luminita A. 6 Werner, Elisabeth M. 6 Zhang, Kewei 5 Ballester, Coloma 5 Delon, Julie 5 Feng, Xiangchu 5 Jin, Zhengmeng 5 Ju, Lili 5 Kong, Dexing 5 Lai, Rongjie 5 Li, Fang 5 Li, Meng 5 Lipman, Yaron 5 Madzvamuse, Anotida 5 Moll, Salvador 5 Olshanskii, Maxim A. 5 Olver, Peter John 5 Raviv, Dan 5 Schaeffer, Hayden 5 Schönlieb, Carola-Bibiane 5 Steidl, Gabriele 5 Voigt, Axel 5 Welk, Martin 5 Wirth, Benedikt 5 Yang, Junxiang 5 Yezzi, Anthony jun. 5 Yin, Wotao 5 Zeng, Tie Yong 5 Zhao, Hongkai 4 Arias, Pablo 4 Ascher, Uri M. 4 Aubert, Gilles 4 Aujol, Jean-François 4 Chen, Sheng-Gwo 4 Chen, Wensheng 4 Cohen, Laurent D. 4 Craizer, Marcos 4 Daubechies, Ingrid Chantal 4 Duan, Yuping 4 Facciolo, Gabriele 4 Garcke, Harald 4 Giacomelli, Lorenzo 4 Jeong, Darae 4 Lachaud, Jacques-Olivier 4 Liu, Chunxiao 4 Lozes, François 4 Nielsen, Mads 4 Peyré, Gabriel 4 Pierre, Fabien 4 Schnörr, Christoph 4 Shen, Zuowei 4 Sorrentino, Alfonso 4 Sundaramoorthi, Ganesh 4 Talbot, Hugues 4 Toutain, Matthieu 4 Urbán, Jozef 4 Wu, Jyh-Yang 4 Xu, Yangyang ...and 2,112 more Authors all top 5 Cited in 250 Serials 113 Journal of Mathematical Imaging and Vision 79 SIAM Journal on Imaging Sciences 61 Journal of Computational Physics 61 Journal of Scientific Computing 59 International Journal of Computer Vision 30 Pattern Recognition 21 Inverse Problems and Imaging 18 Computers & Mathematics with Applications 18 Mathematical Problems in Engineering 16 Computational & Mathematical Methods in Medicine 15 Computer Methods in Applied Mechanics and Engineering 15 SIAM Journal on Scientific Computing 14 International Journal of Computer Mathematics 13 Applied and Computational Harmonic Analysis 12 Journal of Computational and Applied Mathematics 12 Applied Mathematical Modelling 11 Applied Mathematics and Computation 11 Computer Aided Geometric Design 11 Applied Numerical Mathematics 10 Journal of Mathematical Analysis and Applications 10 Information Sciences 10 Advances in Computational Mathematics 9 Numerical Algorithms 8 Mathematics of Computation 8 Calculus of Variations and Partial Differential Equations 8 Journal of Machine Learning Research (JMLR) 7 Journal of Differential Equations 6 Numerische Mathematik 6 Machine Learning 6 Neural Computation 6 International Journal of Wavelets, Multiresolution and Information Processing 6 Communications in Computational Physics 5 Applicable Analysis 5 Inverse Problems 5 Acta Applicandae Mathematicae 5 Neural Networks 5 Signal Processing 5 The Journal of Geometric Analysis 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 SIAM Journal on Optimization 5 Applied Mathematics. Series B (English Edition) 5 Computing and Visualization in Science 5 SIAM Journal on Mathematics of Data Science 4 Journal of Fluid Mechanics 4 Journal of the Franklin Institute 4 Journal of Mathematical Biology 4 Advances in Mathematics 4 ACM Transactions on Graphics 4 Discrete & Computational Geometry 4 Journal of the American Mathematical Society 4 Multidimensional Systems and Signal Processing 4 Proceedings of the National Academy of Sciences of the United States of America 4 Computational Statistics and Data Analysis 4 Mathematical Programming. Series A. Series B 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Foundations of Computational Mathematics 4 Journal of Applied Mathematics 4 Multiscale Modeling & Simulation 4 Electronic Journal of Statistics 4 Discrete and Continuous Dynamical Systems. Series S 4 Actes des Rencontres du C.I.R.M. 3 Archive for Rational Mechanics and Analysis 3 Computers and Fluids 3 Journal of Engineering Mathematics 3 The Annals of Statistics 3 International Journal for Numerical Methods in Engineering 3 Journal of Functional Analysis 3 Journal of Geometry 3 Mathematics and Computers in Simulation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Results in Mathematics 3 SIAM Journal on Numerical Analysis 3 Numerical Methods for Partial Differential Equations 3 Computational Geometry 3 Discrete and Continuous Dynamical Systems 3 Acta Mathematica Sinica. English Series 3 Communications on Pure and Applied Analysis 3 Structural and Multidisciplinary Optimization 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Advances in Mathematical Physics 3 International Journal for Numerical Methods in Biomedical Engineering 3 East Asian Journal on Applied Mathematics 3 SIAM/ASA Journal on Uncertainty Quantification 3 International Journal of Applied and Computational Mathematics 3 Computational Visual Media 2 Biological Cybernetics 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Mathematical Methods in the Applied Sciences 2 Bulletin of Mathematical Biology 2 Journal of Geometry and Physics 2 BIT 2 Calcolo 2 Journal of Optimization Theory and Applications 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Circuits, Systems, and Signal Processing 2 Probability Theory and Related Fields 2 Journal of Computer Science and Technology ...and 150 more Serials all top 5 Cited in 48 Fields 472 Computer science (68-XX) 440 Numerical analysis (65-XX) 401 Information and communication theory, circuits (94-XX) 255 Partial differential equations (35-XX) 124 Calculus of variations and optimal control; optimization (49-XX) 115 Statistics (62-XX) 114 Differential geometry (53-XX) 113 Biology and other natural sciences (92-XX) 83 Operations research, mathematical programming (90-XX) 72 Global analysis, analysis on manifolds (58-XX) 53 Fluid mechanics (76-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 28 Mechanics of deformable solids (74-XX) 27 Convex and discrete geometry (52-XX) 27 Probability theory and stochastic processes (60-XX) 19 Dynamical systems and ergodic theory (37-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 Combinatorics (05-XX) 12 Ordinary differential equations (34-XX) 12 Operator theory (47-XX) 12 Systems theory; control (93-XX) 10 Geophysics (86-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Manifolds and cell complexes (57-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Functional analysis (46-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Approximations and expansions (41-XX) 6 Optics, electromagnetic theory (78-XX) 5 Real functions (26-XX) 4 Geometry (51-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Nonassociative rings and algebras (17-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 3 Algebraic topology (55-XX) 2 Topological groups, Lie groups (22-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX) Citations by Year