Edit Profile (opens in new tab) Chan, Tony Fan-Cheong Co-Author Distance Author ID: chan.tony-fan-cheong Published as: Chan, Tony F.; Chan, Tony; Chan, T. F.; Chan, Tony F. C.; Chan, Tony Fan-Cheong; Chan, T. more...less Further Spellings: 陳繁昌 Homepage: https://www.kaust.edu.sa/en/study/faculty/tony-chan External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 207 Publications since 1979, including 2 Books 10 Contributions as Editor Biographic References: 1 Publication Co-Authors: 162 Co-Authors with 198 Joint Publications 6,316 Co-Co-Authors all top 5 Co-Authors 17 single-authored 14 Tai, Xuecheng 11 Shen, Jianhong 10 Lui, Lok Ming 8 Vese, Luminita A. 7 Chan, Raymond Hon-Fu 7 Hansen, Per Christian 7 Mathew, Tarek P. A. 7 Thompson, Paul M. 7 Wan, Wing Lok 6 Mulet, Pep 6 Osher, Stanley Joel 6 Zou, Jun 5 Bresson, Xavier 5 Golub, Gene Howard 5 Resasco, Diana C. 5 Smith, Barry F. 5 Tong, Charles H. 5 Van der Vorst, Henk Albertus 5 Yau, Shing-Tung 5 Zhu, Wei 4 Aujol, Jean-François 4 Bank, Randolph E. 4 Chen, Ke 4 Goovaerts, Danny 4 Shen, Longjun 4 Szeto, Tedd 4 Wang, Yalin 4 Wong, Tsz Wai 4 Yip, Andy M. 4 Zeng, Wei 4 Zhou, Hao-Min 3 Esedoglu, Selim 3 Gu, Xianfeng 3 Jackson, Kenneth R. 3 Jung, Miyoun 3 Kang, Sung Ha 3 Lee, Ding 3 Leung, Shingyu 3 Ng, Michael Kwok-Po 3 Saad, Yousef 3 Shao, Jianping 3 Wei, Ke 3 Yeung, Man-Chung 3 Zhang, Xiaoqun 2 Bar, Leah 2 Barth, Timothy J. 2 Blomgren, Peter 2 Cai, Jian-Feng 2 Chung, Ginmo Jason 2 Cong, Jason 2 Donato, June M. 2 Gilboa, Guy 2 Glowinski, Roland 2 Hou, Thomas Yizhao 2 Huckaby, David A. 2 Keyes, David Elliot 2 Kiryati, Nahum 2 LeVeque, Randall J. 2 Olkin, Julia A. 2 Périaux, Jacques F. 2 Sandberg, Berta 2 Shen, Lixin 2 Shen, Zuowei 2 Shinnerl, Joseph R. 2 Sochen, Nir 2 Strong, David M. 2 Sun, Jiachang 2 Szeto, W. K. 2 Tang, Wei-Pai 2 Thiruvenkadam, Sheshadri R. 2 Vassilevski, Panayot Spirov 2 Widlund, Olof B. 2 Xu, Jinchao 1 Barrett, Richard K. 1 Barszcz, Eric 1 Berry, Michael W. 1 Brown, Ethan S. 1 Carter, Jamylle L. 1 Chow, Edmond 1 Chung, Tsz Shun Eric 1 Ciarlet, Patrick jun. 1 Cooley, Donald W. 1 Coughran, William M. jun. 1 Demmel, James Weldon 1 Depillis, Lisette 1 Dongarra, Jack J. 1 E, Weinan 1 Eijkhout, Victor L. 1 Elman, Howard C. 1 Espedal, Magne S. 1 Esser, Ernie 1 Faugeras, Olivier D. 1 Foulser, David E. 1 Froyen, Johnny 1 Gallopoulos, Efstratios 1 Go, Susie 1 Gu, Xianfeng David 1 Gu, Xiangfeng 1 Haimes, Robert 1 Heimsund, Bjørn-Ove ...and 62 more Co-Authors all top 5 Serials 22 SIAM Journal on Scientific and Statistical Computing 20 SIAM Journal on Scientific Computing 12 SIAM Journal on Numerical Analysis 9 Numerical Algorithms 7 SIAM Journal on Matrix Analysis and Applications 7 Inverse Problems and Imaging 5 Applied Numerical Mathematics 5 Linear Algebra and its Applications 5 SIAM Journal on Applied Mathematics 5 SIAM Journal on Imaging Sciences 4 Journal of Computational Physics 4 Journal of Scientific Computing 4 Journal of Mathematical Imaging and Vision 4 Numerical Linear Algebra with Applications 4 IEEE Transactions on Image Processing 3 Mathematics of Computation 3 ACM Transactions on Mathematical Software 3 BIT 3 Numerische Mathematik 3 International Journal of Computer Vision 2 Computers & Mathematics with Applications 2 Journal of Computational Mathematics 2 Notices of the American Mathematical Society 2 ETNA. Electronic Transactions on Numerical Analysis 2 Multiscale Modeling & Simulation 1 The American Statistician 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Computational and Applied Mathematics 1 Studies in Applied Mathematics 1 FGCS. Future Generation Computer Systems 1 IEEE Transactions on Signal Processing 1 International Journal of High Speed Computing 1 Communications of the ACM 1 SIAM Review 1 Computational Optimization and Applications 1 Applied and Computational Harmonic Analysis 1 Methods and Applications of Analysis 1 The Asian Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Numerical Analysis and Modeling 1 Lecture Notes in Computer Science 1 Series on Applied Mathematics 1 Lecture Notes in Computational Science and Engineering 1 Annals of Mathematical Sciences and Applications 1 Mathematics and Visualization all top 5 Fields 171 Numerical analysis (65-XX) 70 Partial differential equations (35-XX) 59 Computer science (68-XX) 34 Information and communication theory, circuits (94-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 11 General and overarching topics; collections (00-XX) 11 Operations research, mathematical programming (90-XX) 8 Biology and other natural sciences (92-XX) 7 Statistics (62-XX) 6 Fluid mechanics (76-XX) 5 Functions of a complex variable (30-XX) 5 Differential geometry (53-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 2 History and biography (01-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 186 Publications have been cited 6,932 times in 4,904 Documents Cited by ▼ Year ▼ Weighted essentially non-oscillatory schemes. Zbl 0811.65076 Liu, Xu-Dong; Osher, Stanley; Chan, Tony 1,118 1994 Active contours without edges. Zbl 1039.68779 Chan, Tony F.; Vese, Luminita A. 545 2001 A multiphase level set framework for image segmentation using the Mumford and Shah model. Zbl 1012.68782 Vese, Luminita A.; Chan, Tony F. 257 2002 High-order total variation-based image restoration. Zbl 0968.68175 Chan, Tony; Marquina, Antonio; Mulet, Pep 246 2000 Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127 Chan, Tony F.; Shen, Jianhong (Jackie) 234 2005 A general framework for a class of first order primal-dual algorithms for convex optimization in imaging science. Zbl 1206.90117 Esser, Ernie; Zhang, Xiaoqun; Chan, Tony F. 219 2010 Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002 Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila 212 2006 An optimal circulant preconditioner for Toeplitz systems. Zbl 0646.65042 Chan, Tony F. 211 1988 A variational level set approach to multiphase motion. Zbl 0860.65050 Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S. 211 1996 A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118 Chan, Tony F.; Golub, Gene H.; Mulet, Pep 207 1999 Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004 Chan, Tony F.; Esedoglu, Selim 162 2005 Domain decomposition algorithms. Zbl 0809.65112 Chan, Tony F.; Mathew, Tarek P. 152 1994 Euler’s elastica and curvature-based inpainting. Zbl 1028.68185 Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong 151 2002 Templates for the solution of linear systems: building blocks for iterative methods. Zbl 0814.65030 Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk 148 1993 Mathematical models for local nontexture inpaintings. Zbl 1050.68157 Chan, Tony F.; Shen, Jianhong 115 2002 Rang revealing QR factorizations. Zbl 0624.65025 Chan, Tony F. 107 1987 Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011 Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley 89 2006 Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512 Strong, David; Chan, Tony 84 2003 Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Zbl 1036.65086 Chan, Tony F.; Tai, Xue-Cheng 78 2004 Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127 Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 68 2003 Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337 Bresson, Xavier; Chan, Tony F. 59 2008 Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143 Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng 58 2005 Identification of discontinuous coefficients in elliptic problems using total variation regularization. Zbl 1046.65090 Chan, Tony F.; Tai, Xue-Cheng 53 2003 Effectively well-conditioned linear systems. Zbl 0664.65041 Chan, Tony F.; Foulser, David E. 50 1988 Image denoising using mean curvature of image surface. Zbl 1258.94021 Zhu, Wei; Chan, Tony 49 2012 The digital TV filter and nonlinear denoising. Zbl 1039.68778 Chan, Tony F.; Osher, Stanley; Shen, Jianhong 49 2001 On the convergence of the lagged diffusivity fixed point method in total variation image restoration. Zbl 0923.65037 Chan, Tony F.; Mulet, Pep 48 1998 Analysis of projection methods for solving linear systems with multiple right-hand sides. Zbl 0888.65033 Chan, Tony F.; Wan, W. L. 47 1997 Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109 Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu 45 2016 Arc-length continuation and multi-grid techniques for nonlinear elliptic eigenvalue problems. Zbl 0497.65028 Chan, Tony F. C.; Keller, H. B. 43 1982 Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165 Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F. 42 2010 Some applications of the rank revealing QR factorization. Zbl 0756.65032 Chan, Tony F.; Hansen, Per Christian 39 1992 Completely convex formulation of the Chan-Vese image segmentation model. Zbl 1254.68271 Brown, Ethan S.; Chan, Tony F.; Bresson, Xavier 38 2012 An energy-minimizing interpolation for robust multigrid methods. Zbl 0966.65098 Wan, W. L.; Chan, Tony F.; Smith, Barry 37 2000 Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037 Zhu, Wei; Tai, Xue-Cheng; Chan, Tony 37 2013 An improved algorithm for computing the singular value decomposition. Zbl 0477.65032 Chan, Tony F. 36 1982 Total variation wavelet inpainting. Zbl 1478.94019 Chan, Tony F.; Shen, Jianhong; Zhou, Hao-Min 34 2006 Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms. Zbl 0574.65043 Chan, Tony F.; Jackson, Kenneth R. 34 1984 A quasi-minimal residual variant of the Bi-CGSTAB algorithm for nonsymmetric systems. Zbl 0803.65038 Chan, T. F.; Gallopoulos, E.; Simoncini, V.; Szeto, T.; Tong, C. H. 34 1994 Variational PDE models in image processing. Zbl 1168.94315 Chan, Tony F.; Shen, Jianhong; Vese, Luminita 33 2003 An agglomeration multigrid method for unstructured grids. Zbl 0909.65102 Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil 32 1998 Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015 Zhu, Wei; Tai, Xue-Cheng; Chan, Tony 32 2013 Variational image inpainting. Zbl 1067.68168 Chan, Tony F.; Shen, Jianhong 31 2005 Analysis of preconditioners for domain decomposition. Zbl 0625.65100 Chan, Tony F. 29 1987 Fourier analysis of iterative methods for elliptic problems. Zbl 0684.65092 Chan, Tony F.; Elman, Howard C. 27 1989 Fourier methods with extended stability intervals for the Korteweg-de Vries equation. Zbl 0571.65082 Chan, Tony F.; Kerkhoven, Tom 26 1985 Circulant preconditioners for Toeplitz-block matrices. Zbl 0793.65020 Chan, Tony F.; Olkin, Julia A. 26 1994 Optimization of surface registrations using Beltrami holomorphic flow. Zbl 1244.65096 Lui, Lok Ming; Wong, Tsz Wai; Zeng, Wei; Gu, Xianfeng; Thompson, Paul M.; Chan, Tony F.; Yau, Shing-Tung 26 2012 A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020 Tai, Xue-Cheng; Chan, Tony F. 25 2004 Stability analysis of difference schemes for variable coefficient Schrödinger type equations. Zbl 0646.65089 Chan, Tony F.; Shen, Longjun 24 1987 PLTMGC: A multi-grid continuation program for parameterized nonlinear elliptic systems. Zbl 0589.65074 Bank, Randolph E.; Chan, Tony F. 24 1986 Approximate and incomplete factorizations. Zbl 0865.65015 Chan, Tony F.; van der Vorst, Henk A. 24 1997 An optimization-based multilevel algorithm for total variation image denoising. Zbl 1120.68108 Chan, Tony F.; Chen, Ke 23 2006 Stability analysis of finite difference schemes for the advection- diffusion equation. Zbl 0553.65059 Chan, Tony F. 23 1984 Wavelet inpainting by nonlocal total variation. Zbl 1185.42040 Zhang, Xiaoqun; Chan, Tony F. 23 2010 Scale recognition, regularization parameter selection, and Meyer’s \(G\) norm in total variation regularization. Zbl 1161.68830 Strong, David M.; Aujol, Jean-François; Chan, Tony F. 23 2006 An analysis of the composite step biconjugate gradient method. Zbl 0802.65038 Bank, Randolph E.; Chan, Tony F. 23 1993 Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098 Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J. 22 1983 Overlapping Schwarz methods on unstructured meshes using non-matching coarse grids. Zbl 0879.65082 Chan, Tony F.; Smith, Barry F.; Zou, Jun 21 1996 Large amplitude internal waves of permanent form. Zbl 0484.76034 Tung, Ka-Kit; Chan, Tony F.; Kubota, Toshi 20 1982 Deflation techniques and block-elimination algorithms for solving bordered singular systems. Zbl 0536.65028 Chan, Tony F. 20 1984 A look-ahead Levinson algorithm for general Toeplitz systems. Zbl 0756.65044 Chan, Tony F.; Hansen, Per C. 20 1992 Wavelet sparse approximate inverse preconditioners. Zbl 0891.65048 Chan, T. F.; Tang, W. P.; Wan, W. L. 20 1997 Robust multigrid methods for nonsmooth coefficient elliptic linear systems. Zbl 0966.65099 Chan, Tony F.; Wan, W. L. 19 2000 A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0809.65025 Bank, Randolph E.; Chan, Tony F. 18 1994 Multi-class transductive learning based on \(\ell^1\) relaxations of Cheeger cut and Mumford-Shah-Potts model. Zbl 1366.68230 Bresson, Xavier; Tai, Xue-Cheng; Chan, Tony F.; Szlam, Arthur 18 2014 Nonlocal Mumford-Shah regularizers for color image restoration. Zbl 1372.94124 Jung, Miyoun; Bresson, Xavier; Chan, Tony F.; Vese, Luminita A. 18 2011 Variational PDE models and methods for image processing. Zbl 0953.68621 Blomgren, P.; Chan, T. F.; Mulet, P.; Vese, L.; Wan, W. L. 17 2000 Optimized conformal surface registration with shape-based landmark matching. Zbl 1186.49030 Lui, Lok Ming; Thiruvenkadam, Sheshadri; Wang, Yalin; Thompson, Paul M.; Chan, Tony F. 17 2010 Generalized deflated block-elimination. Zbl 0624.65024 Chan, Tony F.; Resasco, Diana C. 17 1986 Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001 Chan, Tony; Shen, Jianhong 16 2000 Geometry related convergence results for domain decomposition algorithms. Zbl 0724.65109 Chan, Tony F.; Hou, Thomas Y.; Lions, P. L. 16 1991 The interface probing technique in domain decomposition. Zbl 0754.65099 Chan, Tony F. C.; Mathew, Tarek P. 16 1992 The alternate-block-factorization procedure for systems of partial differential equations. Zbl 0715.65097 Bank, R. E.; Chan, T. F.; Coughran, W. M. jun.; Smith, R. K. 15 1989 A look-ahead Levinson algorithm for indefinite Toeplitz systems. Zbl 0752.65020 Chan, Tony F.; Hansen, Per Christian 15 1992 A domain decomposition preconditioner based on a change to a multilevel nodal basis. Zbl 0744.65084 Tong, Charles H.; Chan, Tony F.; Kuo, C. C. Jay 14 1991 A convergence theory of multilevel additive Schwarz methods on unstructured meshes. Zbl 0872.65097 Chan, Tony F.; Zou, Jun 14 1996 Segmentation with depth: a level set approach. Zbl 1344.68266 Zhu, Wei; Chan, Tony; Esedoḡlu, Selim 13 2006 Modular solvers for image restoration problems using the discrepancy principle. Zbl 1071.68557 Blomgren, Peter; Chan, Tony F. 13 2002 Cosine transform preconditioners for high resolution image reconstruction. Zbl 0993.65056 Ng, Michael K.; Chan, Raymond H.; Chan, Tony F.; Yip, Andy M. 13 2000 On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation. Zbl 1096.94003 Chan, Tony F.; Chen, Ke 13 2006 Third international symposium on domain decomposition methods for partial differential equations. Proceedings of a symposium held at Houston, Texas (USA), March 20-22, 1989. Zbl 0695.00026 13 1990 Computing quasiconformal maps using an auxiliary metric and discrete curvature flow. Zbl 1246.30037 Zeng, Wei; Lui, Lok Ming; Luo, Feng; Chan, Tony Fan-Cheong; Yau, Shing-Tung; Gu, David Xianfeng 13 2012 Domain decomposition methods. Proceedings of the 2nd international symposium, held at the University of California, Los Angeles, January 14- 16, 1988. Zbl 0675.00021 12 1989 Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071 Chan, T. F.; Golub, Gene H.; LeVeque, Randall J. 12 1982 Galerkin projection methods for solving multiple linear systems. Zbl 0954.65027 Chan, Tony F.; Ng, Michael K. 12 1999 Variational method on Riemann surfaces using conformal parameterization and its applications to image processing. Zbl 1185.68807 Lui, Lok Ming; Gu, Xianfeng; Chan, Tony F.; Yau, Shing-Tung 12 2008 Subspace correction multi-level methods for elliptic eigenvalue problems. Zbl 1071.65549 Chan, Tony F.; Sharapov, Ilya 12 2002 The use of iterative linear-equation solvers in codes for large systems of stiff IVPs for ODEs. Zbl 0611.65050 Chan, Tony F.; Jackson, Kenneth R. 12 1986 Stable explicit schemes for equations of the Schrödinger type. Zbl 0618.65078 Chan, Tony F.; Lee, Ding; Shen, Longjun 12 1986 Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations. Zbl 0699.65030 Chan, Tony F.; Hansen, Per Christian 12 1990 Newton-like pseudo-arclength methods for computing simple turning points. Zbl 0536.65029 Chan, Tony F. 11 1984 ML(k)BiCGSTAB: A biCGSTAB variant based on multiple Lanczos starting vectors. Zbl 0959.65048 Yeung, Man-Chung; Chan, Tony F. 11 2000 Deflated decomposition of solutions of nearly singular systems. Zbl 0572.65012 Chan, Tony F. 11 1984 Low-rank revealing QR factorizations. Zbl 0804.65027 Chan, Tony F. 11 1994 ENO-wavelet transforms for piecewise smooth functions. Zbl 1030.65147 Chan, Tony F.; Zhou, H. M. 11 2002 Mumford and Shah model and its applications to image segmentation and image restoration. Zbl 1259.94009 Bar, Leah; Chan, Tony F.; Chung, Ginmo; Jung, Miyoun; Kiryati, Nahum; Mohieddine, Rami; Sochen, Nir; Vese, Luminita A. 11 2011 Landmark constrained genus zero surface conformal mapping and its application to brain mapping research. Zbl 1111.92007 Lui, Lok Ming; Wang, Yalin; Chan, Tony F.; Thompson, Paul 10 2007 Error analysis for image inpainting. Zbl 1478.94018 Chan, Tony F.; Kang, Sung Ha 10 2006 Iterative methods for solving the dual formulation arising from image restoration. Zbl 1178.68620 Chan, Tony F.; Chen, Ke; Carter, Jamylle L. 10 2007 Guarantees of Riemannian optimization for low rank matrix completion. Zbl 1439.65059 Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu 6 2020 New region force for variational models in image segmentation and high dimensional data clustering. Zbl 1387.62080 Wei, Ke; Yin, Ke; Tai, Xue-Cheng; Chan, Tony F. 4 2018 A level set based variational principal flow method for nonparametric dimension reduction on Riemannian manifolds. Zbl 1379.65041 Liu, Hao; Yao, Zhigang; Leung, Shingyu; Chan, Tony F. 3 2017 Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109 Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu 45 2016 Mumford and Shah model and its applications to image segmentation and image restoration. 2nd edition. Zbl 1331.94011 Bar, Leah; Chan, Tony F.; Chung, Ginmo; Jung, Miyoun; Vese, Luminita A.; Kiryati, Nahum; Sochen, Nir 4 2015 Numerical methods and applications in total variation image restoration. 2nd edition. Zbl 1331.68265 Chan, Raymond; Chan, Tony F.; Yip, Andy 1 2015 Multi-class transductive learning based on \(\ell^1\) relaxations of Cheeger cut and Mumford-Shah-Potts model. Zbl 1366.68230 Bresson, Xavier; Tai, Xue-Cheng; Chan, Tony F.; Szlam, Arthur 18 2014 Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037 Zhu, Wei; Tai, Xue-Cheng; Chan, Tony 37 2013 Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015 Zhu, Wei; Tai, Xue-Cheng; Chan, Tony 32 2013 Four color theorem and convex relaxation for image segmentation with any number of regions. Zbl 1272.68450 Zhang, Ruiliang; Bresson, Xavier; Chan, Tony F.; Tai, Xue-Cheng 5 2013 A ridge and corner preserving model for surface restoration. Zbl 1266.49080 Lai, Rongjie; Tai, Xue-Cheng; Chan, Tony F. 1 2013 Image denoising using mean curvature of image surface. Zbl 1258.94021 Zhu, Wei; Chan, Tony 49 2012 Completely convex formulation of the Chan-Vese image segmentation model. Zbl 1254.68271 Brown, Ethan S.; Chan, Tony F.; Bresson, Xavier 38 2012 Optimization of surface registrations using Beltrami holomorphic flow. Zbl 1244.65096 Lui, Lok Ming; Wong, Tsz Wai; Zeng, Wei; Gu, Xianfeng; Thompson, Paul M.; Chan, Tony F.; Yau, Shing-Tung 26 2012 Computing quasiconformal maps using an auxiliary metric and discrete curvature flow. Zbl 1246.30037 Zeng, Wei; Lui, Lok Ming; Luo, Feng; Chan, Tony Fan-Cheong; Yau, Shing-Tung; Gu, David Xianfeng 13 2012 A multiphase logic framework for multichannel image segmentation. Zbl 1235.68311 Keegan, Matthew S.; Sandberg, Berta; Chan, Tony F. 3 2012 A novel sparsity reconstruction method from Poisson data for 3D bioluminescence tomography. Zbl 1251.92028 Zhang, Xiaoqun; Lu, Yujie; Chan, Tony 3 2012 Intrinsic feature extraction on hippocampal surfaces and its applications. Zbl 1246.92019 Wong, Tsz Wai; Lui, Lok Ming; Thompson, Paul M.; Chan, Tony F. 1 2012 Nonlocal Mumford-Shah regularizers for color image restoration. Zbl 1372.94124 Jung, Miyoun; Bresson, Xavier; Chan, Tony F.; Vese, Luminita A. 18 2011 Mumford and Shah model and its applications to image segmentation and image restoration. Zbl 1259.94009 Bar, Leah; Chan, Tony F.; Chung, Ginmo; Jung, Miyoun; Kiryati, Nahum; Mohieddine, Rami; Sochen, Nir; Vese, Luminita A. 11 2011 Numerical methods and applications in total variation image restoration. Zbl 1259.68218 Chan, Raymond; Chan, Tony; Yip, Andy 3 2011 A general framework for a class of first order primal-dual algorithms for convex optimization in imaging science. Zbl 1206.90117 Esser, Ernie; Zhang, Xiaoqun; Chan, Tony F. 219 2010 Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165 Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F. 42 2010 Wavelet inpainting by nonlocal total variation. Zbl 1185.42040 Zhang, Xiaoqun; Chan, Tony F. 23 2010 Optimized conformal surface registration with shape-based landmark matching. Zbl 1186.49030 Lui, Lok Ming; Thiruvenkadam, Sheshadri; Wang, Yalin; Thompson, Paul M.; Chan, Tony F. 17 2010 Unsupervised multiphase segmentation: a phase balancing model. Zbl 1371.94325 Sandberg, Berta; Kang, Sung Ha; Chan, Tony F. 6 2010 Detection of shape deformities using Yamabe flow and Beltrami coefficients. Zbl 1203.53015 Lui, Lok Ming; Wong, Tsz Wai; Zeng, Wei; Gu, Xianfeng; Thompson, Paul M.; Chan, Tony F.; Yau, Shing Tung 6 2010 Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337 Bresson, Xavier; Chan, Tony F. 59 2008 Variational method on Riemann surfaces using conformal parameterization and its applications to image processing. Zbl 1185.68807 Lui, Lok Ming; Gu, Xianfeng; Chan, Tony F.; Yau, Shing-Tung 12 2008 Segmentation under occlusions using selective shape prior. Zbl 1207.94023 Thiruvenkadam, Sheshadri R.; Chan, Tony F.; Hong, Byung-Woo 4 2008 Landmark constrained genus zero surface conformal mapping and its application to brain mapping research. Zbl 1111.92007 Lui, Lok Ming; Wang, Yalin; Chan, Tony F.; Thompson, Paul 10 2007 Iterative methods for solving the dual formulation arising from image restoration. Zbl 1178.68620 Chan, Tony F.; Chen, Ke; Carter, Jamylle L. 10 2007 A variational model for capturing illusory contours using curvature. Zbl 1478.68414 Zhu, Wei; Chan, Tony 8 2007 Total variation wavelet thresholding. Zbl 1125.65124 Chan, Tony F.; Zhou, Hao-Min 8 2007 Superresolution image reconstruction using fast inpainting algorithms. Zbl 1116.94002 Chan, Tony F.; Ng, Michael K.; Yau, Andy C.; Yip, Andy M. 7 2007 Brain anatomical feature detection by solving partial differential equations on general manifolds. Zbl 1123.92005 Lui, Lok Ming; Wang, Yalin; Chan, Tony F.; Thompson, Paul M. 2 2007 Image processing based on partial differential equations. Proceedings of the international conference on PDE-based image processing and related inverse problems, CMA, Oslo, Norway, August 8–12, 2005. Zbl 1107.68518 1 2007 Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002 Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila 212 2006 Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011 Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley 89 2006 Total variation wavelet inpainting. Zbl 1478.94019 Chan, Tony F.; Shen, Jianhong; Zhou, Hao-Min 34 2006 An optimization-based multilevel algorithm for total variation image denoising. Zbl 1120.68108 Chan, Tony F.; Chen, Ke 23 2006 Scale recognition, regularization parameter selection, and Meyer’s \(G\) norm in total variation regularization. Zbl 1161.68830 Strong, David M.; Aujol, Jean-François; Chan, Tony F. 23 2006 Segmentation with depth: a level set approach. Zbl 1344.68266 Zhu, Wei; Chan, Tony; Esedoḡlu, Selim 13 2006 On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation. Zbl 1096.94003 Chan, Tony F.; Chen, Ke 13 2006 Error analysis for image inpainting. Zbl 1478.94018 Chan, Tony F.; Kang, Sung Ha 10 2006 Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127 Chan, Tony F.; Shen, Jianhong (Jackie) 234 2005 Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004 Chan, Tony F.; Esedoglu, Selim 162 2005 Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143 Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng 58 2005 Variational image inpainting. Zbl 1067.68168 Chan, Tony F.; Shen, Jianhong 31 2005 Solving PDEs on manifolds with global conformal parametriazation. Zbl 1159.68597 Lui, Lok Ming; Wang, Yalin; Chan, Tony F. 8 2005 Stewart’s pivoted QLP decomposition for low-rank matrices. Zbl 1164.65372 Huckaby, D. A.; Chan, T. F. 4 2005 Structure-texture decomposition by a tV-Gabor model. Zbl 1159.68582 Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley 2 2005 Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Zbl 1036.65086 Chan, Tony F.; Tai, Xue-Cheng 78 2004 A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020 Tai, Xue-Cheng; Chan, Tony F. 25 2004 Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512 Strong, David; Chan, Tony 84 2003 Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127 Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 68 2003 Identification of discontinuous coefficients in elliptic problems using total variation regularization. Zbl 1046.65090 Chan, Tony F.; Tai, Xue-Cheng 53 2003 Variational PDE models in image processing. Zbl 1168.94315 Chan, Tony F.; Shen, Jianhong; Vese, Luminita 33 2003 On the convergence of Stewart’s QLP algorithm for approximating the SVD. Zbl 1035.65034 Huckaby, David A.; Chan, Tony F. 8 2003 On the role of the BV image model in image restoration. Zbl 1035.94501 Chan, Tony F.; Shen, Jianhong 7 2003 Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction. Zbl 1025.65064 Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 7 2003 A phase error analysis of multigrid methods for hyperbolic equations. Zbl 1049.65094 Wan, W. L.; Chan, Tony F. 4 2003 Level set methods for a parameter identification problem. Zbl 1029.35225 Heimsund, Bjørn-Ove; Chan, Tony; Nilssen, Trygve K.; Tai, Xue-Cheng 3 2003 A multiphase level set framework for image segmentation using the Mumford and Shah model. Zbl 1012.68782 Vese, Luminita A.; Chan, Tony F. 257 2002 Euler’s elastica and curvature-based inpainting. Zbl 1028.68185 Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong 151 2002 Mathematical models for local nontexture inpaintings. Zbl 1050.68157 Chan, Tony F.; Shen, Jianhong 115 2002 Modular solvers for image restoration problems using the discrepancy principle. Zbl 1071.68557 Blomgren, Peter; Chan, Tony F. 13 2002 Subspace correction multi-level methods for elliptic eigenvalue problems. Zbl 1071.65549 Chan, Tony F.; Sharapov, Ilya 12 2002 ENO-wavelet transforms for piecewise smooth functions. Zbl 1030.65147 Chan, Tony F.; Zhou, H. M. 11 2002 Active contour and segmentation models using geometric PDE’s for medical imaging. Zbl 1011.92032 Chan, T. F.; Vese, L. A. 7 2002 Multiscale and multiresolution methods. Theory and applications. Zbl 0976.00008 4 2002 On two variants of an algebraic wavelet preconditioner. Zbl 1013.65040 Chan, Tony F.; Chen, Ke 4 2002 Inpainting based on nonlinear transport and diffusion. Zbl 1027.68139 Chan, Tony F.; Shen, Jianhong 3 2002 Active contours without edges. Zbl 1039.68779 Chan, Tony F.; Vese, Luminita A. 545 2001 The digital TV filter and nonlinear denoising. Zbl 1039.68778 Chan, Tony F.; Osher, Stanley; Shen, Jianhong 49 2001 High-order total variation-based image restoration. Zbl 0968.68175 Chan, Tony; Marquina, Antonio; Mulet, Pep 246 2000 An energy-minimizing interpolation for robust multigrid methods. Zbl 0966.65098 Wan, W. L.; Chan, Tony F.; Smith, Barry 37 2000 Robust multigrid methods for nonsmooth coefficient elliptic linear systems. Zbl 0966.65099 Chan, Tony F.; Wan, W. L. 19 2000 Variational PDE models and methods for image processing. Zbl 0953.68621 Blomgren, P.; Chan, T. F.; Mulet, P.; Vese, L.; Wan, W. L. 17 2000 Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001 Chan, Tony; Shen, Jianhong 16 2000 Cosine transform preconditioners for high resolution image reconstruction. Zbl 0993.65056 Ng, Michael K.; Chan, Raymond H.; Chan, Tony F.; Yip, Andy M. 13 2000 ML(k)BiCGSTAB: A biCGSTAB variant based on multiple Lanczos starting vectors. Zbl 0959.65048 Yeung, Man-Chung; Chan, Tony F. 11 2000 Convergence of the alternating minimization algorithm for blind deconvolution. Zbl 0993.65149 Chan, Tony F.; Wong, C. K. 7 2000 Detection of strong coupling in algebraic multigrid solvers. Zbl 0972.65106 Chan, Tony F.; Vanek, Petr 4 2000 A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118 Chan, Tony F.; Golub, Gene H.; Mulet, Pep 207 1999 Galerkin projection methods for solving multiple linear systems. Zbl 0954.65027 Chan, Tony F.; Ng, Michael K. 12 1999 Boundary treatments for multilevel methods on unstructured meshes. Zbl 0947.65131 Chan, Tony F.; Go, Susie; Zou, Jun 3 1999 Preserving symmetry in preconditioned Krylov subspace methods. Zbl 0928.65042 Chan, T. F.; Chow, E.; Saad, Y.; Yeung, M. C. 2 1999 On the convergence of the lagged diffusivity fixed point method in total variation image restoration. Zbl 0923.65037 Chan, Tony F.; Mulet, Pep 48 1998 An agglomeration multigrid method for unstructured grids. Zbl 0909.65102 Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil 32 1998 Multigrid for differential-convolution problems arising from image processing. Zbl 0922.65097 Chan, Raymond H.; Chan, Tony F.; Wan, W. L. 7 1998 Overlapping domain decomposition and multigrid methods for inverse problems. Zbl 0910.65103 Tai, Xue-Cheng; Frøyen, Johnny; Espedal, Magne S.; Chan, Tony F. 6 1998 Transpose-free formulations of Lanczos-type methods for nonsymmetric linear systems. Zbl 0907.65030 Chan, Tony F.; de Pillis, Lisette; van der Vorst, Henk 5 1998 A parallel non-overlapping domain-decomposition algorithm for compressible fluid flow problems on triangulated domains. Zbl 0921.76119 Barth, Timothy J.; Chan, Tony F.; Tang, Wei-Pai 1 1998 Analysis of projection methods for solving linear systems with multiple right-hand sides. Zbl 0888.65033 Chan, Tony F.; Wan, W. L. 47 1997 Approximate and incomplete factorizations. Zbl 0865.65015 Chan, Tony F.; van der Vorst, Henk A. 24 1997 Wavelet sparse approximate inverse preconditioners. Zbl 0891.65048 Chan, T. F.; Tang, W. P.; Wan, W. L. 20 1997 On the optimality of the median cut spectral bisection graph partitioning method. Zbl 0872.65056 Chan, Tony F.; Ciarlet, P. jun.; Szeto, W. K. 6 1997 Linear system solvers: Sparse iterative methods. Zbl 0865.65014 van der Vorst, Henk A.; Chan, Tony F. 5 1997 Probabilistic analysis of Gaussian elimination without pivoting. Zbl 0871.65019 Yeung, Man-Chung; Chan, Tony F. 4 1997 ...and 86 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,372 Authors 83 Shu, Chi-Wang 59 Qiu, Jianxian 59 Tai, Xuecheng 48 Zhu, Jun 47 Chen, Ke 41 Ng, Michael Kwok-Po 39 Chan, Tony Fan-Cheong 39 Huang, Ting-Zhu 36 Chan, Raymond Hon-Fu 36 Osher, Stanley Joel 30 Zeng, Tie Yong 29 Shen, Zuowei 28 Jin, Xiaoqing 27 Schönlieb, Carola-Bibiane 27 Wu, Boying 26 Serra-Capizzano, Stefano 23 Guo, Zhichang 21 Dong, Bin 21 Lui, Lok Ming 21 Lv, Xiaoguang 20 Burger, Martin 20 Cai, Jian-Feng 20 Shen, Lixin 20 Wang, Hong 20 Xu, Kun 19 Fu, Lin 19 Mulet, Pep 19 Reichel, Lothar 19 Wei, Yimin 19 Zhang, Xiaoqun 18 Li, Zi-Cai 18 Xu, Jinchao 17 Amat Plata, Sergio 17 Li, Fang 16 Hintermüller, Michael 16 Leung, Shingyu 16 Pang, Zhifeng 16 Qian, Jianliang 16 Xiao, Feng 16 Yuan, Xiaoming 16 Zhao, Xile 15 Aràndiga, Francesc 15 Chien, Cheng-Sheng 15 Hansen, Per Christian 15 Huang, Hung-Tsai 15 Kang, Myungjoo 15 Pan, Liang 15 Schnörr, Christoph 15 Wu, Chunlin 15 Zhu, Wei 14 Abedian, Rooholah 14 Adams, Nikolaus A. 14 Cremers, Daniel 14 Glowinski, Roland 14 Liu, Jun 14 Valkonen, Tuomo 14 Vese, Luminita A. 14 Xu, Yuesheng 13 Bertozzi, Andrea Louise 13 Bürger, Raimund 13 Chang, Huibin 13 Duan, Yuping 13 He, Chuanjiang 13 Morigi, Serena 13 Steidl, Gabriele 13 Weickert, Joachim 13 Zhang, Shuhai 12 Dehghan Takht Fooladi, Mehdi 12 Ha, Youngsoo 12 Jung, Miyoun 12 Lellmann, Jan 12 Ni, Guoxi 12 Quarteroni, Alfio M. 12 Shen, Yiqing 12 Shi, Yuying 12 Shu, Shi 11 Chambolle, Antonin 11 Huang, Chieh-Sen 11 Lanza, Alessandro 11 Liu, Xinwu 11 Ruuth, Steven J. 11 Scherzer, Otmar 11 Sgallari, Fiorella 11 Sun, Jiebao 11 Toro, Eleuterio Francisco 11 Zhang, Yongtao 11 Zou, Jun 10 Aujol, Jean-François 10 Bae, Egil 10 Chen, Bo 10 Deng, Xi 10 Don, Wai Sun 10 Dong, Yiqiu 10 Fuchs, Martin 10 Ji, Hui 10 Kang, Sung Ha 10 Laurain, Antoine 10 Le Guyader, Carole 10 Lin, Fu-Rong 10 Lou, Yifei ...and 7,272 more Authors all top 5 Cited in 425 Serials 571 Journal of Computational Physics 292 Journal of Scientific Computing 219 Journal of Computational and Applied Mathematics 200 Journal of Mathematical Imaging and Vision 145 Computers & Mathematics with Applications 142 Computers and Fluids 134 Applied Mathematics and Computation 134 SIAM Journal on Imaging Sciences 123 Linear Algebra and its Applications 111 Applied Numerical Mathematics 103 SIAM Journal on Scientific Computing 90 Computer Methods in Applied Mechanics and Engineering 85 Numerical Algorithms 84 Inverse Problems and Imaging 67 International Journal of Computer Mathematics 59 Inverse Problems 58 Numerical Linear Algebra with Applications 55 International Journal of Computer Vision 52 Mathematical Problems in Engineering 51 Applied Mathematical Modelling 49 Advances in Computational Mathematics 45 Mathematics of Computation 44 Applied and Computational Harmonic Analysis 43 Communications in Computational Physics 42 BIT 40 Numerische Mathematik 39 Pattern Recognition 34 Computational & Mathematical Methods in Medicine 32 Computational Optimization and Applications 30 Computational and Applied Mathematics 29 Journal of Fluid Mechanics 27 Inverse Problems in Science and Engineering 26 East Asian Journal on Applied Mathematics 25 Calcolo 25 International Journal of Computational Fluid Dynamics 23 Computing 23 Computing and Visualization in Science 23 Advances in Applied Mathematics and Mechanics 22 Computer Physics Communications 22 Numerical Methods for Partial Differential Equations 21 International Journal for Numerical Methods in Fluids 21 International Journal for Numerical Methods in Engineering 21 Engineering Analysis with Boundary Elements 20 Mathematics and Computers in Simulation 20 SIAM Journal on Matrix Analysis and Applications 19 Journal of Mathematical Analysis and Applications 19 Information Sciences 19 Journal of Optimization Theory and Applications 19 Multidimensional Systems and Signal Processing 18 Computational Geosciences 17 SIAM Journal on Numerical Analysis 16 Applied Mathematics Letters 16 Communications on Applied Mathematics and Computation 15 Applicable Analysis 15 Multiscale Modeling & Simulation 13 SIAM Journal on Optimization 13 Abstract and Applied Analysis 13 Foundations of Computational Mathematics 12 Acta Mathematicae Applicatae Sinica. 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ESAIM, European Series in Applied and Industrial Mathematics 7 Advances in Difference Equations 7 Journal of Mathematical Modeling 6 Journal of Approximation Theory ...and 325 more Serials all top 5 Cited in 48 Fields 3,235 Numerical analysis (65-XX) 1,267 Partial differential equations (35-XX) 1,087 Information and communication theory, circuits (94-XX) 995 Fluid mechanics (76-XX) 878 Computer science (68-XX) 454 Calculus of variations and optimal control; optimization (49-XX) 413 Operations research, mathematical programming (90-XX) 262 Biology and other natural sciences (92-XX) 199 Linear and multilinear algebra; matrix theory (15-XX) 191 Mechanics of deformable solids (74-XX) 179 Statistics (62-XX) 93 Operator theory (47-XX) 90 Optics, electromagnetic theory (78-XX) 71 Approximations and expansions (41-XX) 68 Geophysics (86-XX) 66 Harmonic analysis on Euclidean spaces (42-XX) 57 Probability theory and stochastic processes (60-XX) 56 Statistical mechanics, structure of matter (82-XX) 56 Systems theory; control (93-XX) 54 Differential geometry (53-XX) 52 Ordinary differential equations (34-XX) 47 Classical thermodynamics, heat transfer (80-XX) 46 Real functions (26-XX) 38 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Integral equations (45-XX) 31 Combinatorics (05-XX) 28 Dynamical systems and ergodic theory (37-XX) 27 Functional analysis (46-XX) 25 Global analysis, analysis on manifolds (58-XX) 20 Quantum theory (81-XX) 17 Functions of a complex variable (30-XX) 14 Convex and discrete geometry (52-XX) 13 Integral transforms, operational calculus (44-XX) 12 Mechanics of particles and systems (70-XX) 6 General and overarching topics; collections (00-XX) 6 Potential theory (31-XX) 5 History and biography (01-XX) 5 Astronomy and astrophysics (85-XX) 4 Number theory (11-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Field theory and polynomials (12-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 3 Manifolds and cell complexes (57-XX) 3 Relativity and gravitational theory (83-XX) 2 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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