Edit Profile (opens in new tab) Chan, Tony Fan-Cheong Compute Distance To: Compute 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: 161 Co-Authors with 197 Joint Publications 5,998 Co-Co-Authors all top 5 Co-Authors 17 single-authored 13 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 G. W. 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, David Xianfeng 1 Gu, Xiangfeng 1 Haimes, Robert 1 Heimsund, Bjørn-Ove ...and 61 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 185 Publications have been cited 5,929 times in 4,225 Documents Cited by ▼ Year ▼ Weighted essentially non-oscillatory schemes. Zbl 0811.65076Liu, Xu-Dong; Osher, Stanley; Chan, Tony 878 1994 Active contours without edges. Zbl 1039.68779Chan, Tony F.; Vese, Luminita A. 476 2001 A multiphase level set framework for image segmentation using the Mumford and Shah model. Zbl 1012.68782Vese, Luminita A.; Chan, Tony F. 213 2002 Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127Chan, Tony F.; Shen, Jianhong (Jackie) 211 2005 High-order total variation-based image restoration. Zbl 0968.68175Chan, Tony; Marquina, Antonio; Mulet, Pep 200 2000 An optimal circulant preconditioner for Toeplitz systems. Zbl 0646.65042Chan, Tony F. 196 1988 Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila 185 2006 A variational level set approach to multiphase motion. Zbl 0860.65050Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S. 184 1996 A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118Chan, Tony F.; Golub, Gene H.; Mulet, Pep 180 1999 A general framework for a class of first order primal-dual algorithms for convex optimization in imaging science. Zbl 1206.90117Esser, Ernie; Zhang, Xiaoqun; Chan, Tony F. 174 2010 Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004Chan, Tony F.; Esedoglu, Selim 143 2005 Euler’s elastica and curvature-based inpainting. Zbl 1028.68185Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong 135 2002 Templates for the solution of linear systems: building blocks for iterative methods. Zbl 0814.65030Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk 132 1993 Domain decomposition algorithms. Zbl 0809.65112Chan, Tony F.; Mathew, Tarek P. 130 1994 Mathematical models for local nontexture inpaintings. Zbl 1050.68157Chan, Tony F.; Shen, Jianhong 103 2002 Rang revealing QR factorizations. Zbl 0624.65025Chan, Tony F. 96 1987 Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley 77 2006 Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512Strong, David; Chan, Tony 73 2003 Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Zbl 1036.65086Chan, Tony F.; Tai, Xue-Cheng 69 2004 Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 63 2003 Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng 53 2005 Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337Bresson, Xavier; Chan, Tony F. 51 2008 Identification of discontinuous coefficients in elliptic problems using total variation regularization. Zbl 1046.65090Chan, Tony F.; Tai, Xue-Cheng 49 2003 Effectively well-conditioned linear systems. Zbl 0664.65041Chan, Tony F.; Foulser, David E. 47 1988 Analysis of projection methods for solving linear systems with multiple right-hand sides. Zbl 0888.65033Chan, Tony F.; Wan, W. L. 44 1997 The digital TV filter and nonlinear denoising. Zbl 1039.68778Chan, Tony F.; Osher, Stanley; Shen, Jianhong 41 2001 On the convergence of the lagged diffusivity fixed point method in total variation image restoration. Zbl 0923.65037Chan, Tony F.; Mulet, Pep 40 1998 Image denoising using mean curvature of image surface. Zbl 1258.94021Zhu, Wei; Chan, Tony 40 2012 Arc-length continuation and multi-grid techniques for nonlinear elliptic eigenvalue problems. Zbl 0497.65028Chan, Tony F. C.; Keller, H. B. 37 1982 Some applications of the rank revealing QR factorization. Zbl 0756.65032Chan, Tony F.; Hansen, Per Christian 37 1992 Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F. 36 2010 An improved algorithm for computing the singular value decomposition. Zbl 0477.65032Chan, Tony F. 35 1982 A quasi-minimal residual variant of the Bi-CGSTAB algorithm for nonsymmetric systems. Zbl 0803.65038Chan, T. F.; Gallopoulos, E.; Simoncini, V.; Szeto, T.; Tong, C. H. 34 1994 Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms. Zbl 0574.65043Chan, Tony F.; Jackson, Kenneth R. 32 1984 Completely convex formulation of the Chan-Vese image segmentation model. Zbl 1254.68271Brown, Ethan S.; Chan, Tony F.; Bresson, Xavier 32 2012 An energy-minimizing interpolation for robust multigrid methods. Zbl 0966.65098Wan, W. L.; Chan, Tony F.; Smith, Barry 31 2000 Variational PDE models in image processing. Zbl 1168.94315Chan, Tony F.; Shen, Jianhong; Vese, Luminita 31 2003 Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu 30 2016 Analysis of preconditioners for domain decomposition. Zbl 0625.65100Chan, Tony F. 29 1987 Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037Zhu, Wei; Tai, Xue-Cheng; Chan, Tony 28 2013 Fourier analysis of iterative methods for elliptic problems. Zbl 0684.65092Chan, Tony F.; Elman, Howard C. 27 1989 Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015Zhu, Wei; Tai, Xue-Cheng; Chan, Tony 26 2013 An agglomeration multigrid method for unstructured grids. Zbl 0909.65102Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil 26 1998 Variational image inpainting. Zbl 1067.68168Chan, Tony F.; Shen, Jianhong 26 2005 Circulant preconditioners for Toeplitz-block matrices. Zbl 0793.65020Chan, Tony F.; Olkin, Julia A. 25 1994 Fourier methods with extended stability intervals for the Korteweg-de Vries equation. Zbl 0571.65082Chan, Tony F.; Kerkhoven, Tom 24 1985 PLTMGC: A multi-grid continuation program for parameterized nonlinear elliptic systems. Zbl 0589.65074Bank, Randolph E.; Chan, Tony F. 23 1986 Stability analysis of difference schemes for variable coefficient Schrödinger type equations. Zbl 0646.65089Chan, Tony F.; Shen, Longjun 23 1987 Wavelet inpainting by nonlocal total variation. Zbl 1185.42040Zhang, Xiaoqun; Chan, Tony F. 23 2010 Approximate and incomplete factorizations. Zbl 0865.65015Chan, Tony F.; van der Vorst, Henk A. 22 1997 An optimization-based multilevel algorithm for total variation image denoising. Zbl 1120.68108Chan, Tony F.; Chen, Ke 21 2006 A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020Tai, Xue-Cheng; Chan, Tony F. 21 2004 Deflation techniques and block-elimination algorithms for solving bordered singular systems. Zbl 0536.65028Chan, Tony F. 20 1984 Stability analysis of finite difference schemes for the advection- diffusion equation. Zbl 0553.65059Chan, Tony F. 20 1984 Wavelet sparse approximate inverse preconditioners. Zbl 0891.65048Chan, T. F.; Tang, W. P.; Wan, W. L. 20 1997 An analysis of the composite step biconjugate gradient method. Zbl 0802.65038Bank, Randolph E.; Chan, Tony F. 20 1993 Large amplitude internal waves of permanent form. Zbl 0484.76034Tung, Ka-Kit; Chan, Tony F.; Kubota, Toshi 19 1982 Optimization of surface registrations using Beltrami holomorphic flow. Zbl 1244.65096Lui, Lok Ming; Wong, Tsz Wai; Zeng, Wei; Gu, Xianfeng; Thompson, Paul M.; Chan, Tony F.; Yau, Shing-Tung 19 2012 Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J. 18 1983 A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0809.65025Bank, Randolph E.; Chan, Tony F. 18 1994 Robust multigrid methods for nonsmooth coefficient elliptic linear systems. Zbl 0966.65099Chan, Tony F.; Wan, W. L. 18 2000 A look-ahead Levinson algorithm for general Toeplitz systems. Zbl 0756.65044Chan, Tony F.; Hansen, Per C. 18 1992 Generalized deflated block-elimination. Zbl 0624.65024Chan, Tony F.; Resasco, Diana C. 16 1986 Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001Chan, Tony; Shen, Jianhong 16 2000 Overlapping Schwarz methods on unstructured meshes using non-matching coarse grids. Zbl 0879.65082Chan, Tony F.; Smith, Barry F.; Zou, Jun 16 1996 Scale recognition, regularization parameter selection, and Meyer’s \(G\) norm in total variation regularization. Zbl 1161.68830Strong, David M.; Aujol, Jean-François; Chan, Tony F. 16 2006 Variational PDE models and methods for image processing. Zbl 0953.68621Blomgren, P.; Chan, T. F.; Mulet, P.; Vese, L.; Wan, W. L. 15 2000 A look-ahead Levinson algorithm for indefinite Toeplitz systems. Zbl 0752.65020Chan, Tony F.; Hansen, Per Christian 15 1992 A domain decomposition preconditioner based on a change to a multilevel nodal basis. Zbl 0744.65084Tong, Charles H.; Chan, Tony F.; Kuo, C. C. Jay 14 1991 The interface probing technique in domain decomposition. Zbl 0754.65099Chan, Tony F. C.; Mathew, Tarek P. 14 1992 Nonlocal Mumford-Shah regularizers for color image restoration. Zbl 1372.94124Jung, Miyoun; Bresson, Xavier; Chan, Tony F.; Vese, Luminita A. 14 2011 A convergence theory of multilevel additive Schwarz methods on unstructured meshes. Zbl 0872.65097Chan, Tony F.; Zou, Jun 14 1996 Cosine transform preconditioners for high resolution image reconstruction. Zbl 0993.65056Ng, Michael K.; Chan, Raymond H.; Chan, Tony F.; Yip, Andy M. 13 2000 Optimized conformal surface registration with shape-based landmark matching. Zbl 1186.49030Lui, Lok Ming; Thiruvenkadam, Sheshadri; Wang, Yalin; Thompson, Paul M.; Chan, Tony F. 13 2010 Geometry related convergence results for domain decomposition algorithms. Zbl 0724.65109Chan, Tony F.; Hou, Thomas Y.; Lions, P. L. 13 1991 On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation. Zbl 1096.94003Chan, Tony F.; Chen, Ke 13 2006 The use of iterative linear-equation solvers in codes for large systems of stiff IVPs for ODEs. Zbl 0611.65050Chan, Tony F.; Jackson, Kenneth R. 12 1986 Stable explicit schemes for equations of the Schrödinger type. Zbl 0618.65078Chan, Tony F.; Lee, Ding; Shen, Longjun 12 1986 Segmentation with depth: a level set approach. Zbl 1344.68266Zhu, Wei; Chan, Tony; Esedoḡlu, Selim 12 2006 The alternate-block-factorization procedure for systems of partial differential equations. Zbl 0715.65097Bank, R. E.; Chan, T. F.; Coughran, W. M. jun.; Smith, R. K. 12 1989 Multi-class transductive learning based on \(\ell^1\) relaxations of Cheeger cut and Mumford-Shah-Potts model. Zbl 1366.68230Bresson, Xavier; Tai, Xue-Cheng; Chan, Tony F.; Szlam, Arthur 12 2014 Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations. Zbl 0699.65030Chan, Tony F.; Hansen, Per Christian 12 1990 Deflated decomposition of solutions of nearly singular systems. Zbl 0572.65012Chan, Tony F. 11 1984 ENO-wavelet transforms for piecewise smooth functions. Zbl 1030.65147Chan, Tony F.; Zhou, H. M. 11 2002 ML(k)BiCGSTAB: A biCGSTAB variant based on multiple Lanczos starting vectors. Zbl 0959.65048Yeung, Man-Chung; Chan, Tony F. 11 2000 Modular solvers for image restoration problems using the discrepancy principle. Zbl 1071.68557Blomgren, Peter; Chan, Tony F. 11 2002 Landmark constrained genus zero surface conformal mapping and its application to brain mapping research. Zbl 1111.92007Lui, Lok Ming; Wang, Yalin; Chan, Tony F.; Thompson, Paul 10 2007 Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071Chan, T. F.; Golub, Gene H.; LeVeque, Randall J. 10 1982 Mumford and Shah model and its applications to image segmentation and image restoration. Zbl 1259.94009Bar, Leah; Chan, Tony F.; Chung, Ginmo; Jung, Miyoun; Kiryati, Nahum; Mohieddine, Rami; Sochen, Nir; Vese, Luminita A. 10 2011 Variational method on Riemann surfaces using conformal parameterization and its applications to image processing. Zbl 1185.68807Lui, Lok Ming; Gu, Xianfeng; Chan, Tony F.; Yau, Shing-Tung 10 2008 Low-rank revealing QR factorizations. Zbl 0804.65027Chan, Tony F. 10 1994 Subspace correction multi-level methods for elliptic eigenvalue problems. Zbl 1071.65549Chan, Tony F.; Sharapov, Ilya 10 2002 Computing quasiconformal maps using an auxiliary metric and discrete curvature flow. Zbl 1246.30037Zeng, Wei; Lui, Lok Ming; Luo, Feng; Chan, Tony Fan-Cheong; Yau, Shing-Tung; Gu, David Xianfeng 10 2012 Newton-like pseudo-arclength methods for computing simple turning points. Zbl 0536.65029Chan, Tony F. 9 1984 A composite step conjugate gradients squared algorithm for solving nonsymmetric linear systems. Zbl 0809.65026Chan, Tony F.; Szeto, Tedd 9 1994 Galerkin projection methods for solving multiple linear systems. Zbl 0954.65027Chan, Tony F.; Ng, Michael K. 9 1999 Total variation wavelet thresholding. Zbl 1125.65124Chan, Tony F.; Zhou, Hao-Min 8 2007 Fourier analysis of relaxed incomplete factorization preconditioners. Zbl 0729.65025Chan, Tony F. 8 1991 Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes. Zbl 0815.65127Chan, Tony F.; Zou, Jun 8 1994 Multilevel filtering preconditioners: Extensions to more general elliptic problems. Zbl 0745.65069Tong, Charles H.; Chan, Tony F.; Kuo, C. C. Jay 8 1992 Guarantees of Riemannian optimization for low rank matrix completion. Zbl 1439.65059Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu 1 2020 New region force for variational models in image segmentation and high dimensional data clustering. Zbl 1387.62080Wei, 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 1379.65041Liu, Hao; Yao, Zhigang; Leung, Shingyu; Chan, Tony F. 3 2017 Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu 30 2016 Mumford and Shah model and its applications to image segmentation and image restoration. 2nd edition. Zbl 1331.94011Bar, 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 1331.68265Chan, 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 1366.68230Bresson, Xavier; Tai, Xue-Cheng; Chan, Tony F.; Szlam, Arthur 12 2014 Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037Zhu, Wei; Tai, Xue-Cheng; Chan, Tony 28 2013 Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015Zhu, Wei; Tai, Xue-Cheng; Chan, Tony 26 2013 Four color theorem and convex relaxation for image segmentation with any number of regions. Zbl 1272.68450Zhang, Ruiliang; Bresson, Xavier; Chan, Tony F.; Tai, Xue-Cheng 5 2013 A ridge and corner preserving model for surface restoration. Zbl 1266.49080Lai, Rongjie; Tai, Xue-Cheng; Chan, Tony F. 1 2013 Image denoising using mean curvature of image surface. Zbl 1258.94021Zhu, Wei; Chan, Tony 40 2012 Completely convex formulation of the Chan-Vese image segmentation model. Zbl 1254.68271Brown, Ethan S.; Chan, Tony F.; Bresson, Xavier 32 2012 Optimization of surface registrations using Beltrami holomorphic flow. Zbl 1244.65096Lui, Lok Ming; Wong, Tsz Wai; Zeng, Wei; Gu, Xianfeng; Thompson, Paul M.; Chan, Tony F.; Yau, Shing-Tung 19 2012 Computing quasiconformal maps using an auxiliary metric and discrete curvature flow. Zbl 1246.30037Zeng, Wei; Lui, Lok Ming; Luo, Feng; Chan, Tony Fan-Cheong; Yau, Shing-Tung; Gu, David Xianfeng 10 2012 A novel sparsity reconstruction method from Poisson data for 3D bioluminescence tomography. Zbl 1251.92028Zhang, Xiaoqun; Lu, Yujie; Chan, Tony 3 2012 A multiphase logic framework for multichannel image segmentation. Zbl 1235.68311Keegan, Matthew S.; Sandberg, Berta; Chan, Tony F. 2 2012 Intrinsic feature extraction on hippocampal surfaces and its applications. Zbl 1246.92019Wong, Tsz Wai; Lui, Lok Ming; Thompson, Paul M.; Chan, Tony F. 1 2012 Nonlocal Mumford-Shah regularizers for color image restoration. Zbl 1372.94124Jung, Miyoun; Bresson, Xavier; Chan, Tony F.; Vese, Luminita A. 14 2011 Mumford and Shah model and its applications to image segmentation and image restoration. Zbl 1259.94009Bar, Leah; Chan, Tony F.; Chung, Ginmo; Jung, Miyoun; Kiryati, Nahum; Mohieddine, Rami; Sochen, Nir; Vese, Luminita A. 10 2011 Numerical methods and applications in total variation image restoration. Zbl 1259.68218Chan, 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 1206.90117Esser, Ernie; Zhang, Xiaoqun; Chan, Tony F. 174 2010 Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F. 36 2010 Wavelet inpainting by nonlocal total variation. Zbl 1185.42040Zhang, Xiaoqun; Chan, Tony F. 23 2010 Optimized conformal surface registration with shape-based landmark matching. Zbl 1186.49030Lui, Lok Ming; Thiruvenkadam, Sheshadri; Wang, Yalin; Thompson, Paul M.; Chan, Tony F. 13 2010 Unsupervised multiphase segmentation: a phase balancing model. Zbl 1371.94325Sandberg, Berta; Kang, Sung Ha; Chan, Tony F. 6 2010 Detection of shape deformities using Yamabe flow and Beltrami coefficients. Zbl 1203.53015Lui, Lok Ming; Wong, Tsz Wai; Zeng, Wei; Gu, Xianfeng; Thompson, Paul M.; Chan, Tony F.; Yau, Shing Tung 4 2010 Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337Bresson, Xavier; Chan, Tony F. 51 2008 Variational method on Riemann surfaces using conformal parameterization and its applications to image processing. Zbl 1185.68807Lui, Lok Ming; Gu, Xianfeng; Chan, Tony F.; Yau, Shing-Tung 10 2008 Segmentation under occlusions using selective shape prior. Zbl 1207.94023Thiruvenkadam, 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 1111.92007Lui, Lok Ming; Wang, Yalin; Chan, Tony F.; Thompson, Paul 10 2007 Total variation wavelet thresholding. Zbl 1125.65124Chan, Tony F.; Zhou, Hao-Min 8 2007 Iterative methods for solving the dual formulation arising from image restoration. Zbl 1178.68620Chan, Tony F.; Chen, Ke; Carter, Jamylle L. 8 2007 Superresolution image reconstruction using fast inpainting algorithms. Zbl 1116.94002Chan, Tony F.; Ng, Michael K.; Yau, Andy C.; Yip, Andy M. 6 2007 Brain anatomical feature detection by solving partial differential equations on general manifolds. Zbl 1123.92005Lui, Lok Ming; Wang, Yalin; Chan, Tony F.; Thompson, Paul M. 2 2007 A variational model for capturing illusory contours using curvature. Zbl 1478.68414Zhu, Wei; Chan, Tony 1 2007 Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila 185 2006 Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley 77 2006 An optimization-based multilevel algorithm for total variation image denoising. Zbl 1120.68108Chan, Tony F.; Chen, Ke 21 2006 Scale recognition, regularization parameter selection, and Meyer’s \(G\) norm in total variation regularization. Zbl 1161.68830Strong, David M.; Aujol, Jean-François; Chan, Tony F. 16 2006 On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation. Zbl 1096.94003Chan, Tony F.; Chen, Ke 13 2006 Segmentation with depth: a level set approach. Zbl 1344.68266Zhu, Wei; Chan, Tony; Esedoḡlu, Selim 12 2006 Total variation wavelet inpainting. Zbl 1478.94019Chan, Tony F.; Shen, Jianhong; Zhou, Hao-Min 4 2006 Error analysis for image inpainting. Zbl 1478.94018Chan, Tony F.; Kang, Sung Ha 3 2006 Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127Chan, Tony F.; Shen, Jianhong (Jackie) 211 2005 Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004Chan, Tony F.; Esedoglu, Selim 143 2005 Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng 53 2005 Variational image inpainting. Zbl 1067.68168Chan, Tony F.; Shen, Jianhong 26 2005 Solving PDEs on manifolds with global conformal parametriazation. Zbl 1159.68597Lui, Lok Ming; Wang, Yalin; Chan, Tony F. 7 2005 Stewart’s pivoted QLP decomposition for low-rank matrices. Zbl 1164.65372Huckaby, D. A.; Chan, T. F. 4 2005 Structure-texture decomposition by a tV-Gabor model. Zbl 1159.68582Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley 2 2005 Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Zbl 1036.65086Chan, Tony F.; Tai, Xue-Cheng 69 2004 A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020Tai, Xue-Cheng; Chan, Tony F. 21 2004 Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512Strong, David; Chan, Tony 73 2003 Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 63 2003 Identification of discontinuous coefficients in elliptic problems using total variation regularization. Zbl 1046.65090Chan, Tony F.; Tai, Xue-Cheng 49 2003 Variational PDE models in image processing. Zbl 1168.94315Chan, Tony F.; Shen, Jianhong; Vese, Luminita 31 2003 Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction. Zbl 1025.65064Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 7 2003 On the convergence of Stewart’s QLP algorithm for approximating the SVD. Zbl 1035.65034Huckaby, David A.; Chan, Tony F. 6 2003 On the role of the BV image model in image restoration. Zbl 1035.94501Chan, Tony F.; Shen, Jianhong 5 2003 A phase error analysis of multigrid methods for hyperbolic equations. Zbl 1049.65094Wan, W. L.; Chan, Tony F. 3 2003 Level set methods for a parameter identification problem. Zbl 1029.35225Heimsund, Bjørn-Ove; Chan, Tony; Nilssen, Trygve K.; Tai, Xue-Cheng 2 2003 A multiphase level set framework for image segmentation using the Mumford and Shah model. Zbl 1012.68782Vese, Luminita A.; Chan, Tony F. 213 2002 Euler’s elastica and curvature-based inpainting. Zbl 1028.68185Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong 135 2002 Mathematical models for local nontexture inpaintings. Zbl 1050.68157Chan, Tony F.; Shen, Jianhong 103 2002 ENO-wavelet transforms for piecewise smooth functions. Zbl 1030.65147Chan, Tony F.; Zhou, H. M. 11 2002 Modular solvers for image restoration problems using the discrepancy principle. Zbl 1071.68557Blomgren, Peter; Chan, Tony F. 11 2002 Subspace correction multi-level methods for elliptic eigenvalue problems. Zbl 1071.65549Chan, Tony F.; Sharapov, Ilya 10 2002 Active contour and segmentation models using geometric PDE’s for medical imaging. Zbl 1011.92032Chan, T. F.; Vese, L. A. 6 2002 On two variants of an algebraic wavelet preconditioner. Zbl 1013.65040Chan, Tony F.; Chen, Ke 4 2002 Inpainting based on nonlinear transport and diffusion. Zbl 1027.68139Chan, Tony F.; Shen, Jianhong 3 2002 Multiscale and multiresolution methods. Theory and applications. Zbl 0976.00008 2 2002 Active contours without edges. Zbl 1039.68779Chan, Tony F.; Vese, Luminita A. 476 2001 The digital TV filter and nonlinear denoising. Zbl 1039.68778Chan, Tony F.; Osher, Stanley; Shen, Jianhong 41 2001 High-order total variation-based image restoration. Zbl 0968.68175Chan, Tony; Marquina, Antonio; Mulet, Pep 200 2000 An energy-minimizing interpolation for robust multigrid methods. Zbl 0966.65098Wan, W. L.; Chan, Tony F.; Smith, Barry 31 2000 Robust multigrid methods for nonsmooth coefficient elliptic linear systems. Zbl 0966.65099Chan, Tony F.; Wan, W. L. 18 2000 Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001Chan, Tony; Shen, Jianhong 16 2000 Variational PDE models and methods for image processing. Zbl 0953.68621Blomgren, P.; Chan, T. F.; Mulet, P.; Vese, L.; Wan, W. L. 15 2000 Cosine transform preconditioners for high resolution image reconstruction. Zbl 0993.65056Ng, 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 0959.65048Yeung, Man-Chung; Chan, Tony F. 11 2000 Convergence of the alternating minimization algorithm for blind deconvolution. Zbl 0993.65149Chan, Tony F.; Wong, C. K. 6 2000 Detection of strong coupling in algebraic multigrid solvers. Zbl 0972.65106Chan, Tony F.; Vanek, Petr 4 2000 A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118Chan, Tony F.; Golub, Gene H.; Mulet, Pep 180 1999 Galerkin projection methods for solving multiple linear systems. Zbl 0954.65027Chan, Tony F.; Ng, Michael K. 9 1999 Boundary treatments for multilevel methods on unstructured meshes. Zbl 0947.65131Chan, Tony F.; Go, Susie; Zou, Jun 3 1999 Preserving symmetry in preconditioned Krylov subspace methods. Zbl 0928.65042Chan, 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 0923.65037Chan, Tony F.; Mulet, Pep 40 1998 An agglomeration multigrid method for unstructured grids. Zbl 0909.65102Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil 26 1998 Overlapping domain decomposition and multigrid methods for inverse problems. Zbl 0910.65103Tai, Xue-Cheng; Frøyen, Johnny; Espedal, Magne S.; Chan, Tony F. 6 1998 Multigrid for differential-convolution problems arising from image processing. Zbl 0922.65097Chan, Raymond H.; Chan, Tony F.; Wan, W. L. 6 1998 Transpose-free formulations of Lanczos-type methods for nonsymmetric linear systems. Zbl 0907.65030Chan, Tony F.; de Pillis, Lisette; van der Vorst, Henk 4 1998 A parallel non-overlapping domain-decomposition algorithm for compressible fluid flow problems on triangulated domains. Zbl 0921.76119Barth, Timothy J.; Chan, Tony F.; Tang, Wei-Pai 1 1998 Analysis of projection methods for solving linear systems with multiple right-hand sides. Zbl 0888.65033Chan, Tony F.; Wan, W. L. 44 1997 Approximate and incomplete factorizations. Zbl 0865.65015Chan, Tony F.; van der Vorst, Henk A. 22 1997 Wavelet sparse approximate inverse preconditioners. Zbl 0891.65048Chan, T. F.; Tang, W. P.; Wan, W. L. 20 1997 On the optimality of the median cut spectral bisection graph partitioning method. Zbl 0872.65056Chan, Tony F.; Ciarlet, P. jun.; Szeto, W. K. 5 1997 Linear system solvers: Sparse iterative methods. Zbl 0865.65014van der Vorst, Henk A.; Chan, Tony F. 5 1997 Probabilistic analysis of Gaussian elimination without pivoting. Zbl 0871.65019Yeung, Man-Chung; Chan, Tony F. 4 1997 Iterative methods for total variation image restoration. Zbl 0938.65155Chan, Tony F.; Mulet, Pep 3 1997 ...and 85 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,340 Authors 76 Shu, Chi-Wang 48 Qiu, Jianxian 48 Tai, Xuecheng 43 Chen, Ke 39 Chan, Tony Fan-Cheong 36 Huang, Ting-Zhu 34 Zhu, Jun 33 Chan, Raymond Hon-Fu 33 Osher, Stanley Joel 29 Ng, Michael Kwok-Po 28 Jin, Xiaoqing 28 Shen, Zuowei 25 Serra-Capizzano, Stefano 24 Zeng, Tie Yong 23 Wu, Boying 22 Schönlieb, Carola-Bibiane 19 Lui, Lok Ming 19 Lv, Xiaoguang 19 Shen, Lixin 19 Wang, Hong 19 Wei, Yimin 19 Zhang, Xiaoqun 18 Burger, Martin 18 Li, Zi-Cai 18 Xu, Kun 17 Cai, Jian-Feng 17 Mulet, Pep 17 Reichel, Lothar 17 Xu, Jinchao 16 Guo, Zhichang 15 Amat, Sergio P. 15 Chien, Cheng-Sheng 15 Huang, Hung-Tsai 15 Kang, Myungjoo 15 Zhao, Xile 14 Aràndiga, Francesc 14 Cremers, Daniel 14 Hintermüller, Michael 14 Leung, Shingyu 13 Hansen, Per Christian 13 He, Chuanjiang 13 Pang, Zhifeng 13 Qian, Jianliang 13 Schnörr, Christoph 13 Steidl, Gabriele 13 Valkonen, Tuomo 12 Bertozzi, Andrea Louise 12 Chang, Huibin 12 Dong, Bin 12 Ha, Youngsoo 12 Li, Fang 12 Pan, Liang 12 Shi, Yuying 12 Vese, Luminita A. 12 Wu, Chunlin 12 Xiao, Feng 12 Xu, Yuesheng 12 Yuan, Xiaoming 12 Zhu, Wei 11 Adams, Nikolaus A. 11 Bürger, Raimund 11 Chambolle, Antonin 11 Duan, Yuping 11 Glowinski, Roland 11 Jung, Miyoun 11 Lellmann, Jan 11 Morigi, Serena 11 Ruuth, Steven J. 11 Scherzer, Otmar 11 Shu, Shi 11 Zou, Jun 10 Aujol, Jean-François 10 Fuchs, Martin 10 Huang, Chieh-Sen 10 Ji, Hui 10 Lin, Fu-Rong 10 Liu, Jun 10 Lou, Yifei 10 Tyrtyshnikov, Evgeniĭ Evgen’evich 10 Weickert, Joachim 10 Zhao, Hongkai 9 Arbogast, Todd 9 Bae, Egil 9 Bredies, Kristian 9 Dehghan Takht Fooladi, Mehdi 9 Fu, Lin 9 Gilboa, Guy 9 Huang, Cong 9 Keyes, David Elliot 9 Laurain, Antoine 9 Le Guyader, Carole 9 Nagy, James Gerard 9 Pock, Thomas 9 Sgallari, Fiorella 9 Wei, Ke 9 Weinmann, Andreas 9 Zhang, Mengping 9 Zhang, Shuhai 9 Zhang, Yongtao 8 Bildhauer, Michael ...and 6,240 more Authors all top 5 Cited in 393 Serials 494 Journal of Computational Physics 258 Journal of Scientific Computing 206 Journal of Computational and Applied Mathematics 169 Journal of Mathematical Imaging and Vision 124 Applied Mathematics and Computation 123 Linear Algebra and its Applications 122 Computers & Mathematics with Applications 115 SIAM Journal on Imaging Sciences 113 Computers and Fluids 100 Applied Numerical Mathematics 84 SIAM Journal on Scientific Computing 79 Numerical Algorithms 70 Computer Methods in Applied Mechanics and Engineering 65 International Journal of Computer Mathematics 65 Inverse Problems and Imaging 58 Numerical Linear Algebra with Applications 55 International Journal of Computer Vision 52 Mathematical Problems in Engineering 46 Advances in Computational Mathematics 45 Mathematics of Computation 42 Applied Mathematical Modelling 41 Inverse Problems 41 BIT 41 Applied and Computational Harmonic Analysis 40 Numerische Mathematik 39 Pattern Recognition 34 Computational & Mathematical Methods in Medicine 32 Communications in Computational Physics 29 Computational Optimization and Applications 26 Inverse Problems in Science and Engineering 23 Calcolo 23 Computing 22 Journal of Fluid Mechanics 21 International Journal for Numerical Methods in Fluids 21 International Journal for Numerical Methods in Engineering 21 Engineering Analysis with Boundary Elements 19 East Asian Journal on Applied Mathematics 18 Journal of Optimization Theory and Applications 18 Mathematics and Computers in Simulation 18 Multidimensional Systems and Signal Processing 18 Computational and Applied Mathematics 18 International Journal of Computational Fluid Dynamics 17 Journal of Mathematical Analysis and Applications 17 Computational Geosciences 16 Advances in Applied Mathematics and Mechanics 15 Information Sciences 15 Applied Mathematics Letters 15 SIAM Journal on Matrix Analysis and Applications 15 Computing and Visualization in Science 14 SIAM Journal on Numerical Analysis 13 Numerical Methods for Partial Differential Equations 13 Abstract and Applied Analysis 13 Multiscale Modeling & Simulation 12 Acta Mathematicae Applicatae Sinica. 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(English Edition) 8 Computer Aided Geometric Design 8 Mathematical and Computer Modelling 8 SIAM Journal on Mathematical Analysis 8 Mathematical Programming. Series A. Series B 8 Communications in Numerical Methods in Engineering 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Journal of Applied Mathematics and Computing 8 International Journal of Computational Methods 7 Journal of the Franklin Institute 7 Optimization Methods & Software 7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 7 Acta Numerica 7 Advances in Difference Equations 7 Journal of the Operations Research Society of China 6 Journal of Approximation Theory 6 SIAM Review 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Journal of Inverse and Ill-Posed Problems 6 ETNA. 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Mathematical Models & Methods in Applied Sciences ...and 293 more Serials all top 5 Cited in 49 Fields 2,740 Numerical analysis (65-XX) 1,032 Partial differential equations (35-XX) 933 Information and communication theory, circuits (94-XX) 801 Fluid mechanics (76-XX) 767 Computer science (68-XX) 401 Calculus of variations and optimal control; optimization (49-XX) 334 Operations research, mathematical programming (90-XX) 224 Biology and other natural sciences (92-XX) 171 Linear and multilinear algebra; matrix theory (15-XX) 167 Mechanics of deformable solids (74-XX) 151 Statistics (62-XX) 79 Optics, electromagnetic theory (78-XX) 77 Operator theory (47-XX) 61 Harmonic analysis on Euclidean spaces (42-XX) 60 Approximations and expansions (41-XX) 55 Geophysics (86-XX) 50 Systems theory; control (93-XX) 49 Ordinary differential equations (34-XX) 49 Probability theory and stochastic processes (60-XX) 47 Statistical mechanics, structure of matter (82-XX) 42 Differential geometry (53-XX) 39 Classical thermodynamics, heat transfer (80-XX) 36 Real functions (26-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Integral equations (45-XX) 26 Combinatorics (05-XX) 24 Dynamical systems and ergodic theory (37-XX) 22 Functional analysis (46-XX) 21 Global analysis, analysis on manifolds (58-XX) 17 Quantum theory (81-XX) 13 Functions of a complex variable (30-XX) 13 Convex and discrete geometry (52-XX) 12 Mechanics of particles and systems (70-XX) 11 Integral transforms, operational calculus (44-XX) 5 History and biography (01-XX) 5 Astronomy and astrophysics (85-XX) 4 General and overarching topics; collections (00-XX) 4 Potential theory (31-XX) 3 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-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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