Edit Profile Sapiro, Guillermo Compute Distance To: Compute Author ID: sapiro.guillermo Published as: Sapiro, G.; Sapiro, Guillermo External Links: MGP Documents Indexed: 79 Publications since 1993, including 2 Books all top 5 Co-Authors 5 single-authored 12 Caselles Costa, Vicent 9 Tannenbaum, Allen Robert 6 Carin, Lawrence 5 Mémoli, Facundo 4 Giblin, Peter J. 4 Kimmel, Ron 4 Olver, Peter John 4 Osher, Stanley Joel 3 Bertalmío, Marcelo 3 Brady, David J. 3 Bronstein, Alex M. 3 Eldar, Yonina Chana 3 Giryes, Raja 3 Liao, Xuejun 3 Llull, Patrick 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 Bruckstein, Alfred Marcel 2 Cheng, Li-Tien 2 Delbracio, Mauricio 2 Duarte-Carvajalino, Julio Martin 2 Mairal, Julien 2 Qiu, Qiang 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 Betelú, Santiago I. 1 Bronstein, Alexander M. 1 Bronstein, Michael M. 1 Bugeau, Aurélie 1 Burchard, Paul 1 Calderbank, Arthur Robert 1 Castrodad, Alexey 1 Chen, Haojun 1 Chung, Do Hyun 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 Kim, Yunho 1 Kittle, David 1 Lecumberry, Federico 1 Lenglet, Christophe 1 Li, Lingbo 1 Lopez, Antonio M. jun. 1 Mahmoudi, Mona 1 Mallat, Stephane Georges 1 Michaeli, Tomer 1 Möller, Michael 1 Morel, Jean-Michel 1 Mueller, Bryon A. 1 Paisley, John William 1 Pardo, Álvaro 1 Pichon, Eric 1 Pokrass, Jonathan 1 Ponce, Jean 1 Ren, Lu 1 Ringach, Dario L. 1 Rodrigues, Miguel R. D. 1 Schröder, Peter 1 Sokolić, Jure 1 Tang, Bei 1 Teo, Patrick C. 1 Thompson, Andrew Frank 1 Thompson, Paul M. 1 Tong, Ming 1 Tsai, Yen-Hsi Richard 1 Verdera, Joan 1 Vese, Luminita A. 1 Wandell, Brian A. 1 Wirth, Benedikt 1 Xin, Jack X. 1 Yatziv, Liron 1 Yin, Wotao 1 Zhan, Lin all top 5 Serials 13 IEEE Transactions on Image Processing 10 IEEE Transactions on Signal Processing 7 Journal of Computational Physics 3 International Journal of Computer Vision 3 SIAM Journal on Imaging Sciences 2 Acta Applicandae Mathematicae 2 SIAM Journal on Applied Mathematics 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 Journal of Mathematical Imaging and Vision 1 Methods and Applications of Analysis 1 Computer Vision and Image Understanding 1 Foundations of Computational Mathematics 1 Oberwolfach Reports all top 5 Fields 37 Computer science (68-XX) 30 Information and communication theory, circuits (94-XX) 19 Numerical analysis (65-XX) 17 Differential geometry (53-XX) 15 Partial differential equations (35-XX) 12 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 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 57 Publications have been cited 1,243 times in 1,012 Documents Cited by ▼ Year ▼ Geodesic active contours. Zbl 0894.68131Caselles, Vicent; Kimmel, Ron; Sapiro, Guillermo 267 1997 Variational problems and partial differential equations on implicit surfaces. Zbl 0991.65055Bertalmío, Marcelo; Cheng, Li-Tien; Osher, Stanley; Sapiro, Guillermo 103 2001 Geometric partial differential equations and image analysis. Zbl 0968.35001Sapiro, Guillermo 91 2001 Online learning for matrix factorization and sparse coding. Zbl 1242.62087Mairal, Julien; Bach, Francis; Ponce, Jean; Sapiro, Guillermo 90 2010 On affine plane curve evolution. Zbl 0801.53008Sapiro, Guillermo; Tannenbaum, Allen 56 1994 Fourth order partial differential equations on general geometries. Zbl 1097.65087Greer, John B.; Bertozzi, Andrea L.; Sapiro, Guillermo 51 2006 Filling-in by joint interpolation of vector fields and gray levels. Zbl 1037.68771Ballester, Coloma; Bertalmio, M.; Caselles, V.; Sapiro, Guillermo; Verdera, Joan 45 2001 Learning multiscale sparse representations for image and video restoration. Zbl 1194.49041Mairal, Julien; Sapiro, Guillermo; Elad, Michael 40 2008 A variational framework for exemplar-based image inpainting. Zbl 1235.94015Arias, Pablo; Facciolo, Gabriele; Caselles, Vicent; Sapiro, Guillermo 34 2011 Solving inverse problems with piecewise linear estimators: from Gaussian mixture models to structured sparsity. Zbl 1373.94471Yu, Guoshen; Sapiro, Guillermo; Mallat, Stéphane 33 2012 A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022Mémoli, Facundo; Sapiro, Guillermo 33 2005 On the affine heat equation for non-convex curves. Zbl 0902.35048Angenent, Sigurd; Sapiro, Guillermo; Tannenbaum, Allen 27 1998 Anisotropic diffusion of multivalued images. Zbl 0852.68113Sapiro, Guillermo; Ringach, Dario L. 27 1996 Color image enhancement via chromaticity diffusion. Zbl 1037.68792Tang, Bei; Sapiro, Guillermo; Caselles, Vicent 26 2001 Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces. Zbl 0991.65018Mémoli, Facundo; Sapiro, Guillermo 24 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 22 2006 O(\(N\)) implementation of the fast marching algorithm. Zbl 1083.65083Yatziv, Liron; Bartesaghi, Alberto; Sapiro, Guillermo 18 2006 Learning to sense sparse signals: simultaneous sensing matrix and sparsifying dictionary optimization. Zbl 1371.94555Duarte-Carvajalino, Julio Martin; Sapiro, Guillermo 17 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 16 2012 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 16 2003 Minimal surfaces: A geometric three dimensional segmentation approach. Zbl 0891.68093Caselles, Vicent; Kimmel, Ron; Sapiro, Guillermo; Sbert, Catalina 15 1997 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. 13 2004 Affine-invariant distances, envelopes and symmetry sets. Zbl 0902.53001Giblin, Peter J.; Sapiro, Guillermo 13 1998 Histogram modification via differential equations. Zbl 0913.35141Sapiro, Guillermo; Caselles, Vicent 12 1997 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 11 2012 Solving variational problems and partial differential equations mapping into general target manifolds. Zbl 1044.65060Mémoli, Facundo; Sapiro, Guillermo; Osher, Stanley 11 2004 Distance functions and geodesics on submanifolds of \({\mathbb R}^d\) and point clouds. Zbl 1079.65020Mémoli, Facundo; Sapiro, Guillermo 10 2005 A comprehensive framework for image inpainting. Zbl 1371.94065Bugeau, Aurélie; Bertalmío, Marcelo; Caselles, Vicent; Sapiro, Guillermo 9 2010 Dictionary learning for noisy and incomplete hyperspectral images. Zbl 1316.62094Xing, Zhengming; Zhou, Mingyuan; Castrodad, Alexey; Sapiro, Guillermo; Carin, Lawrence 8 2012 A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo 8 2011 Vector median filters, inf-sup operations, and coupled PDE’s: Theoretical connections. Zbl 0955.68116Caselles, Vicent; Sapiro, Guillermo; Chung, Do Hyun 7 2000 Invariant geometric evolutions of surfaces and volumetric smoothing. Zbl 0874.35044Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 7 1997 Video compressive sensing using Gaussian mixture models. Zbl 1374.94424Yang, Jianbo; Yuan, Xin; Liao, Xuejun; Llull, Patrick; Brady, David J.; Sapiro, Guillermo; Carin, Lawrence 6 2014 Affine invariant detection: Edge maps, anisotropic diffusion, and active contours. Zbl 1005.53010Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 6 1999 Fundamental limits in multi-image alignment. Zbl 1414.94008Aguerrebere, Cecilia; Delbracio, Mauricio; Bartesaghi, Alberto; Sapiro, Guillermo 4 2016 On spectral properties for graph matching and graph isomorphism problems. Zbl 1380.05160Fiori, Marcelo; Sapiro, Guillermo 4 2015 C-HiLasso: a collaborative hierarchical sparse modeling framework. Zbl 1392.94467Sprechmann, Pablo; Ramírez, Ignacio; Sapiro, Guillermo; Eldar, Yonina C. 4 2011 Generalized Newton-type methods for energy formulations in image processing. Zbl 1179.35014Bar, Leah; Sapiro, Guillermo 4 2009 Classification and uniqueness of invariant geometric flows. Zbl 0863.53008Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 4 1994 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. 3 2017 Sparse models for intrinsic shape correspondence. Zbl 1380.68404Pokrass, Jonathan; Bronstein, Alexander M.; Bronstein, Michael M.; Sprechmann, Pablo; Sapiro, Guillermo 3 2016 The ubiquitous ellipse. Zbl 0831.53002Sapiro, Guillermo; Bruckstein, Alfred M. 3 1995 Deep neural networks with random Gaussian weights: a universal classification strategy? Zbl 1414.94217Giryes, Raja; Sapiro, Guillermo; Bronstein, Alex M. 2 2016 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 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 Learning transformations for clustering and classification. Zbl 1337.68230Qiu, Qiang; Sapiro, Guillermo 1 2015 A biclustering framework for consensus problems. Zbl 1305.62230Tepper, Mariano; Sapiro, Guillermo 1 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 An MDL framework for sparse coding and dictionary learning. Zbl 1393.94708Ramírez, Ignacio; Sapiro, Guillermo 1 2012 Universal regularizers for robust sparse coding and modeling. Zbl 1373.94847Ramírez, Ignacio; Sapiro, Guillermo 1 2012 Statistical compressed sensing of Gaussian mixture models. Zbl 1393.94728Yu, Guoshen; Sapiro, Guillermo 1 2011 Morse description and morphological encoding of continuous data. Zbl 1079.68103Caselles, Vicent; Sapiro, Guillermo; Solé, Andrés; Ballester, Coloma 1 2004 On the computation of the affine skeletons of planar curves and the detection of skew symmetry. Zbl 1006.68856Betelu, Santiago; Sapiro, Guillermo; Tannenbaum, Allen; Giblin, Peter J. 1 2001 Crease enhancement diffusion. Zbl 1017.68142Solé, Andres Fco.; López, Antonio; Sapiro, Guillermo 1 2001 3D active contours. Zbl 0851.68117Caselles, V.; Kimmel, R.; Sapiro, G.; Sbert, C. 1 1996 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. 3 2017 Fundamental limits in multi-image alignment. Zbl 1414.94008Aguerrebere, Cecilia; Delbracio, Mauricio; Bartesaghi, Alberto; Sapiro, Guillermo 4 2016 Sparse models for intrinsic shape correspondence. Zbl 1380.68404Pokrass, Jonathan; Bronstein, Alexander M.; Bronstein, Michael M.; Sprechmann, Pablo; Sapiro, Guillermo 3 2016 Deep neural networks with random Gaussian weights: a universal classification strategy? Zbl 1414.94217Giryes, Raja; Sapiro, Guillermo; Bronstein, Alex M. 2 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 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 Learning transformations for clustering and classification. Zbl 1337.68230Qiu, Qiang; Sapiro, Guillermo 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 6 2014 A biclustering framework for consensus problems. Zbl 1305.62230Tepper, Mariano; Sapiro, Guillermo 1 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 Solving inverse problems with piecewise linear estimators: from Gaussian mixture models to structured sparsity. Zbl 1373.94471Yu, Guoshen; Sapiro, Guillermo; Mallat, Stéphane 33 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 16 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 11 2012 Dictionary learning for noisy and incomplete hyperspectral images. Zbl 1316.62094Xing, Zhengming; Zhou, Mingyuan; Castrodad, Alexey; Sapiro, Guillermo; Carin, Lawrence 8 2012 An MDL framework for sparse coding and dictionary learning. Zbl 1393.94708Ramírez, Ignacio; Sapiro, Guillermo 1 2012 Universal regularizers for robust sparse coding and modeling. Zbl 1373.94847Ramírez, Ignacio; Sapiro, Guillermo 1 2012 A variational framework for exemplar-based image inpainting. Zbl 1235.94015Arias, Pablo; Facciolo, Gabriele; Caselles, Vicent; Sapiro, Guillermo 34 2011 A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo 8 2011 C-HiLasso: a collaborative hierarchical sparse modeling framework. Zbl 1392.94467Sprechmann, Pablo; Ramírez, Ignacio; Sapiro, Guillermo; Eldar, Yonina C. 4 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 90 2010 A comprehensive framework for image inpainting. Zbl 1371.94065Bugeau, Aurélie; Bertalmío, Marcelo; Caselles, Vicent; Sapiro, Guillermo 9 2010 Learning to sense sparse signals: simultaneous sensing matrix and sparsifying dictionary optimization. Zbl 1371.94555Duarte-Carvajalino, Julio Martin; Sapiro, Guillermo 17 2009 Generalized Newton-type methods for energy formulations in image processing. Zbl 1179.35014Bar, Leah; Sapiro, Guillermo 4 2009 Learning multiscale sparse representations for image and video restoration. Zbl 1194.49041Mairal, Julien; Sapiro, Guillermo; Elad, Michael 40 2008 Fourth order partial differential equations on general geometries. Zbl 1097.65087Greer, John B.; Bertozzi, Andrea L.; Sapiro, Guillermo 51 2006 Geometric partial differential equations and image analysis. Zbl 1141.35002Sapiro, Guillermo 22 2006 O(\(N\)) implementation of the fast marching algorithm. Zbl 1083.65083Yatziv, Liron; Bartesaghi, Alberto; Sapiro, Guillermo 18 2006 A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022Mémoli, Facundo; Sapiro, Guillermo 33 2005 Distance functions and geodesics on submanifolds of \({\mathbb R}^d\) and point clouds. Zbl 1079.65020Mémoli, Facundo; Sapiro, Guillermo 10 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. 13 2004 Solving variational problems and partial differential equations mapping into general target manifolds. Zbl 1044.65060Mémoli, Facundo; Sapiro, Guillermo; Osher, Stanley 11 2004 Morse description and morphological encoding of continuous data. Zbl 1079.68103Caselles, Vicent; Sapiro, Guillermo; Solé, Andrés; Ballester, Coloma 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 16 2003 Variational problems and partial differential equations on implicit surfaces. Zbl 0991.65055Bertalmío, Marcelo; Cheng, Li-Tien; Osher, Stanley; Sapiro, Guillermo 103 2001 Geometric partial differential equations and image analysis. Zbl 0968.35001Sapiro, Guillermo 91 2001 Filling-in by joint interpolation of vector fields and gray levels. Zbl 1037.68771Ballester, Coloma; Bertalmio, M.; Caselles, V.; Sapiro, Guillermo; Verdera, Joan 45 2001 Color image enhancement via chromaticity diffusion. Zbl 1037.68792Tang, Bei; Sapiro, Guillermo; Caselles, Vicent 26 2001 Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces. Zbl 0991.65018Mémoli, Facundo; Sapiro, Guillermo 24 2001 On the computation of the affine skeletons of planar curves and the detection of skew symmetry. Zbl 1006.68856Betelu, Santiago; Sapiro, Guillermo; Tannenbaum, Allen; Giblin, Peter J. 1 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 7 2000 Affine invariant detection: Edge maps, anisotropic diffusion, and active contours. Zbl 1005.53010Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 6 1999 On the affine heat equation for non-convex curves. Zbl 0902.35048Angenent, Sigurd; Sapiro, Guillermo; Tannenbaum, Allen 27 1998 Affine-invariant distances, envelopes and symmetry sets. Zbl 0902.53001Giblin, Peter J.; Sapiro, Guillermo 13 1998 Geodesic active contours. Zbl 0894.68131Caselles, Vicent; Kimmel, Ron; Sapiro, Guillermo 267 1997 Minimal surfaces: A geometric three dimensional segmentation approach. Zbl 0891.68093Caselles, Vicent; Kimmel, Ron; Sapiro, Guillermo; Sbert, Catalina 15 1997 Histogram modification via differential equations. Zbl 0913.35141Sapiro, Guillermo; Caselles, Vicent 12 1997 Invariant geometric evolutions of surfaces and volumetric smoothing. Zbl 0874.35044Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 7 1997 Anisotropic diffusion of multivalued images. Zbl 0852.68113Sapiro, Guillermo; Ringach, Dario L. 27 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 On affine plane curve evolution. Zbl 0801.53008Sapiro, Guillermo; Tannenbaum, Allen 56 1994 Classification and uniqueness of invariant geometric flows. Zbl 0863.53008Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 4 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 2,107 Authors 18 Osher, Stanley Joel 15 Sapiro, Guillermo 13 Xu, Guoliang 12 Le Guyader, Carole 11 Mikula, Karol 10 Caselles Costa, Vicent 10 Chen, Ke 10 Ruuth, Steven J. 9 Gout, Christian 9 Kimmel, Ron 9 Morel, Jean-Michel 9 Tannenbaum, Allen Robert 9 Wu, Boying 8 Kim, Junseok 8 Tai, Xuecheng 8 Wei, Guowei 8 Yang, Yunyun 8 Zhu, Wei 7 Cremers, Daniel 7 Ivaki, Mohammad N. 7 Kang, Sung Ha 7 Leung, Shingyu 7 Mémoli, Facundo 7 Weickert, Joachim 6 Burger, Martin 6 Dong, Bin 6 Elad, Michael 6 Elliott, Charles M. 6 Elmoataz, Abderrahim 6 He, Chuanjiang 6 Rumpf, Martin 6 Shen, Zuowei 6 Steidl, Gabriele 6 Tsai, Yen-Hsi Richard 6 Vese, Luminita A. 6 Wu, Chunlin 6 Zhang, Kewei 5 Chan, Tony Fan-Cheong 5 Craizer, Marcos 5 Delon, Julie 5 Feng, Xiangchu 5 Huang, Ting-Zhu 5 Jin, Zhengmeng 5 Kong, Dexing 5 Lai, Rongjie 5 Li, Meng 5 Li, Yibao 5 Lipman, Yaron 5 Moll, Salvador 5 Ng, Michael Kwok-Po 5 Olshanskii, Maxim A. 5 Olver, Peter John 5 Schaeffer, Hayden 5 Schönlieb, Carola-Bibiane 5 Shi, Zuoqiang 5 Voigt, Axel 5 Welk, Martin 5 Wirth, Benedikt 5 Yin, Wotao 5 Zeng, Tie Yong 5 Zhang, Lei 5 Zhao, Hongkai 4 Arias, Pablo 4 Ascher, Uri M. 4 Aujol, Jean-François 4 Ballester, Coloma 4 Bronstein, Alexander M. 4 Bronstein, Michael M. 4 Bruckstein, Alfred Marcel 4 Chen, Wensheng 4 Facciolo, Gabriele 4 Garcke, Harald 4 Giacomelli, Lorenzo 4 Ju, Lili 4 Liu, Chunxiao 4 Lozes, François 4 Madzvamuse, Anotida 4 Peyré, Gabriel 4 Pierre, Fabien 4 Qu, Changzheng 4 Raviv, Dan 4 Schnörr, Christoph 4 Toutain, Matthieu 4 Werner, Elisabeth M. 4 Xu, Yangyang 4 Yang, Junxiang 4 Yashtini, Maryam 4 Zhou, Hao-Min 3 Aflalo, Yonathan 3 Akram, Farhan 3 Bae, Egil 3 Batard, Thomas 3 Bertalmío, Marcelo 3 Bertozzi, Andrea Louise 3 Bildhauer, Michael 3 Breuß, Michael 3 Cai, Jian-Feng 3 Cambraia, Ady jun. 3 Chambolle, Antonin 3 Chen, Bo ...and 2,007 more Authors all top 5 Cited in 218 Serials 79 Journal of Mathematical Imaging and Vision 71 SIAM Journal on Imaging Sciences 61 Journal of Computational Physics 55 Journal of Scientific Computing 40 Pattern Recognition 33 International Journal of Computer Vision 18 Computers & Mathematics with Applications 18 Mathematical Problems in Engineering 17 Applied and Computational Harmonic Analysis 17 Inverse Problems and Imaging 16 Computational & Mathematical Methods in Medicine 14 Computer Methods in Applied Mechanics and Engineering 14 Computer Aided Geometric Design 14 SIAM Journal on Scientific Computing 12 Journal of Computational and Applied Mathematics 12 International Journal of Computer Mathematics 11 Applied Mathematics and Computation 10 Journal of Mathematical Analysis and Applications 10 Applied Numerical Mathematics 10 Advances in Computational Mathematics 9 Information Sciences 9 Numerical Algorithms 8 Mathematics of Computation 8 Applied Mathematical Modelling 8 Calculus of Variations and Partial Differential Equations 7 Journal of Machine Learning Research (JMLR) 7 International Journal of Wavelets, Multiresolution and Information Processing 6 Journal of Differential Equations 6 Numerische Mathematik 6 Neural Computation 5 Applicable Analysis 5 Acta Applicandae Mathematicae 5 Signal Processing 5 Multidimensional Systems and Signal Processing 5 Machine Learning 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 4 Inverse Problems 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 Proceedings of the National Academy of Sciences of the United States of America 4 Computational Statistics and Data Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Applied Mathematics 4 Multiscale Modeling & Simulation 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 Journal of Fluid Mechanics 3 International Journal for Numerical Methods in Engineering 3 Journal of Functional Analysis 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 Neural Networks 3 Computational Geometry 3 Differential Geometry and its Applications 3 Mathematical Programming. Series A. Series B 3 Discrete and Continuous Dynamical Systems 3 Abstract and Applied Analysis 3 Acta Mathematica Sinica. English Series 3 Foundations of Computational Mathematics 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 Electronic Journal of Statistics 3 International Journal for Numerical Methods in Biomedical Engineering 3 SIAM/ASA Journal on Uncertainty Quantification 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 The Annals of Statistics 2 BIT 2 Journal of Geometry 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 Probability Theory and Related Fields 2 Journal of Computer Science and Technology 2 Computational Mechanics 2 Applied Mathematics Letters 2 European Journal of Applied Mathematics 2 Machine Vision and Applications 2 Linear Algebra and its Applications 2 SIAM Journal on Applied Mathematics 2 Journal of Nonlinear Science ...and 118 more Serials all top 5 Cited in 48 Fields 402 Numerical analysis (65-XX) 375 Computer science (68-XX) 338 Information and communication theory, circuits (94-XX) 224 Partial differential equations (35-XX) 106 Differential geometry (53-XX) 104 Calculus of variations and optimal control; optimization (49-XX) 99 Biology and other natural sciences (92-XX) 92 Statistics (62-XX) 71 Operations research, mathematical programming (90-XX) 67 Global analysis, analysis on manifolds (58-XX) 47 Fluid mechanics (76-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 27 Mechanics of deformable solids (74-XX) 25 Probability theory and stochastic processes (60-XX) 22 Convex and discrete geometry (52-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Dynamical systems and ergodic theory (37-XX) 13 Ordinary differential equations (34-XX) 12 Combinatorics (05-XX) 11 Systems theory; control (93-XX) 10 Operator theory (47-XX) 10 Geophysics (86-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Real functions (26-XX) 6 Approximations and expansions (41-XX) 6 Manifolds and cell complexes (57-XX) 6 Optics, electromagnetic theory (78-XX) 5 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 4 Geometry (51-XX) 4 Mechanics of particles and systems (70-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Algebraic topology (55-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