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: 160 Co-Authors with 197 Joint Publications 5,628 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 60 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 6,236 times in 4,394 Documents Cited by ▼ Year ▼ Weighted essentially non-oscillatory schemes. Zbl 0811.65076Liu, Xu-Dong; Osher, Stanley; Chan, Tony 943 1994 Active contours without edges. Zbl 1039.68779Chan, Tony F.; Vese, Luminita A. 498 2001 A multiphase level set framework for image segmentation using the Mumford and Shah model. Zbl 1012.68782Vese, Luminita A.; Chan, Tony F. 231 2002 High-order total variation-based image restoration. Zbl 0968.68175Chan, Tony; Marquina, Antonio; Mulet, Pep 217 2000 Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127Chan, Tony F.; Shen, Jianhong (Jackie) 213 2005 An optimal circulant preconditioner for Toeplitz systems. Zbl 0646.65042Chan, Tony F. 201 1988 Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila 197 2006 A variational level set approach to multiphase motion. Zbl 0860.65050Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S. 193 1996 A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118Chan, Tony F.; Golub, Gene H.; Mulet, Pep 192 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. 189 2010 Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004Chan, Tony F.; Esedoglu, Selim 147 2005 Euler’s elastica and curvature-based inpainting. Zbl 1028.68185Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong 142 2002 Domain decomposition algorithms. Zbl 0809.65112Chan, Tony F.; Mathew, Tarek P. 133 1994 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 133 1993 Mathematical models for local nontexture inpaintings. Zbl 1050.68157Chan, Tony F.; Shen, Jianhong 105 2002 Rang revealing QR factorizations. Zbl 0624.65025Chan, Tony F. 99 1987 Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley 82 2006 Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512Strong, David; Chan, Tony 77 2003 Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Zbl 1036.65086Chan, Tony F.; Tai, Xue-Cheng 72 2004 Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 67 2003 Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337Bresson, Xavier; Chan, Tony F. 54 2008 Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng 54 2005 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. 48 1988 Image denoising using mean curvature of image surface. Zbl 1258.94021Zhu, Wei; Chan, Tony 45 2012 Analysis of projection methods for solving linear systems with multiple right-hand sides. Zbl 0888.65033Chan, Tony F.; Wan, W. L. 44 1997 On the convergence of the lagged diffusivity fixed point method in total variation image restoration. Zbl 0923.65037Chan, Tony F.; Mulet, Pep 43 1998 The digital TV filter and nonlinear denoising. Zbl 1039.68778Chan, Tony F.; Osher, Stanley; Shen, Jianhong 41 2001 Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F. 39 2010 Arc-length continuation and multi-grid techniques for nonlinear elliptic eigenvalue problems. Zbl 0497.65028Chan, Tony F. C.; Keller, H. B. 38 1982 Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu 38 2016 Some applications of the rank revealing QR factorization. Zbl 0756.65032Chan, Tony F.; Hansen, Per Christian 38 1992 An improved algorithm for computing the singular value decomposition. Zbl 0477.65032Chan, Tony F. 36 1982 Completely convex formulation of the Chan-Vese image segmentation model. Zbl 1254.68271Brown, Ethan S.; Chan, Tony F.; Bresson, Xavier 36 2012 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 An energy-minimizing interpolation for robust multigrid methods. Zbl 0966.65098Wan, W. L.; Chan, Tony F.; Smith, Barry 33 2000 Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms. Zbl 0574.65043Chan, Tony F.; Jackson, Kenneth R. 32 1984 Variational PDE models in image processing. Zbl 1168.94315Chan, Tony F.; Shen, Jianhong; Vese, Luminita 31 2003 Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037Zhu, Wei; Tai, Xue-Cheng; Chan, Tony 30 2013 Analysis of preconditioners for domain decomposition. Zbl 0625.65100Chan, Tony F. 29 1987 Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015Zhu, Wei; Tai, Xue-Cheng; Chan, Tony 28 2013 An agglomeration multigrid method for unstructured grids. Zbl 0909.65102Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil 27 1998 Fourier analysis of iterative methods for elliptic problems. Zbl 0684.65092Chan, Tony F.; Elman, Howard C. 27 1989 Wavelet inpainting by nonlocal total variation. Zbl 1185.42040Zhang, Xiaoqun; Chan, Tony F. 26 2010 Variational image inpainting. Zbl 1067.68168Chan, Tony F.; Shen, Jianhong 26 2005 Fourier methods with extended stability intervals for the Korteweg-de Vries equation. Zbl 0571.65082Chan, Tony F.; Kerkhoven, Tom 25 1985 Circulant preconditioners for Toeplitz-block matrices. Zbl 0793.65020Chan, Tony F.; Olkin, Julia A. 25 1994 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 24 2012 PLTMGC: A multi-grid continuation program for parameterized nonlinear elliptic systems. Zbl 0589.65074Bank, Randolph E.; Chan, Tony F. 23 1986 Approximate and incomplete factorizations. Zbl 0865.65015Chan, Tony F.; van der Vorst, Henk A. 23 1997 Stability analysis of difference schemes for variable coefficient Schrödinger type equations. Zbl 0646.65089Chan, Tony F.; Shen, Longjun 23 1987 An optimization-based multilevel algorithm for total variation image denoising. Zbl 1120.68108Chan, Tony F.; Chen, Ke 22 2006 A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020Tai, Xue-Cheng; Chan, Tony F. 22 2004 An analysis of the composite step biconjugate gradient method. Zbl 0802.65038Bank, Randolph E.; Chan, Tony F. 21 1993 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 Large amplitude internal waves of permanent form. Zbl 0484.76034Tung, Ka-Kit; Chan, Tony F.; Kubota, Toshi 20 1982 Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J. 19 1983 A look-ahead Levinson algorithm for general Toeplitz systems. Zbl 0756.65044Chan, Tony F.; Hansen, Per C. 19 1992 Robust multigrid methods for nonsmooth coefficient elliptic linear systems. Zbl 0966.65099Chan, Tony F.; Wan, W. L. 18 2000 A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0809.65025Bank, Randolph E.; Chan, Tony F. 18 1994 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. 17 2006 Generalized deflated block-elimination. Zbl 0624.65024Chan, Tony F.; Resasco, Diana C. 17 1986 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 16 2014 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 Optimized conformal surface registration with shape-based landmark matching. Zbl 1186.49030Lui, Lok Ming; Thiruvenkadam, Sheshadri; Wang, Yalin; Thompson, Paul M.; Chan, Tony F. 15 2010 Nonlocal Mumford-Shah regularizers for color image restoration. Zbl 1372.94124Jung, Miyoun; Bresson, Xavier; Chan, Tony F.; Vese, Luminita A. 15 2011 Geometry related convergence results for domain decomposition algorithms. Zbl 0724.65109Chan, Tony F.; Hou, Thomas Y.; Lions, P. L. 15 1991 A look-ahead Levinson algorithm for indefinite Toeplitz systems. Zbl 0752.65020Chan, Tony F.; Hansen, Per Christian 15 1992 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 convergence theory of multilevel additive Schwarz methods on unstructured meshes. Zbl 0872.65097Chan, Tony F.; Zou, Jun 14 1996 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 Cosine transform preconditioners for high resolution image reconstruction. Zbl 0993.65056Ng, 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 1096.94003Chan, Tony F.; Chen, Ke 13 2006 Modular solvers for image restoration problems using the discrepancy principle. Zbl 1071.68557Blomgren, Peter; Chan, Tony F. 13 2002 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 12 2008 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 12 2012 Stable explicit schemes for equations of the Schrödinger type. Zbl 0618.65078Chan, Tony F.; Lee, Ding; Shen, Longjun 12 1986 Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations. Zbl 0699.65030Chan, Tony F.; Hansen, Per Christian 12 1990 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 Segmentation with depth: a level set approach. Zbl 1344.68266Zhu, Wei; Chan, Tony; Esedoḡlu, Selim 12 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 Deflated decomposition of solutions of nearly singular systems. Zbl 0572.65012Chan, Tony F. 11 1984 ML(k)BiCGSTAB: A biCGSTAB variant based on multiple Lanczos starting vectors. Zbl 0959.65048Yeung, Man-Chung; Chan, Tony F. 11 2000 Low-rank revealing QR factorizations. Zbl 0804.65027Chan, Tony F. 11 1994 Subspace correction multi-level methods for elliptic eigenvalue problems. Zbl 1071.65549Chan, Tony F.; Sharapov, Ilya 11 2002 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. 11 2011 ENO-wavelet transforms for piecewise smooth functions. Zbl 1030.65147Chan, Tony F.; Zhou, H. M. 11 2002 Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071Chan, T. F.; Golub, Gene H.; LeVeque, Randall J. 10 1982 Newton-like pseudo-arclength methods for computing simple turning points. Zbl 0536.65029Chan, Tony F. 10 1984 Iterative methods for solving the dual formulation arising from image restoration. Zbl 1178.68620Chan, Tony F.; Chen, Ke; Carter, Jamylle L. 10 2007 Domain decomposition methods. Proceedings of the 2nd international symposium, held at the University of California, Los Angeles, January 14- 16, 1988. Zbl 0675.00021 10 1989 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 Galerkin projection methods for solving multiple linear systems. Zbl 0954.65027Chan, Tony F.; Ng, Michael K. 10 1999 A composite step conjugate gradients squared algorithm for solving nonsymmetric linear systems. Zbl 0809.65026Chan, Tony F.; Szeto, Tedd 9 1994 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 9 1990 Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes. Zbl 0815.65127Chan, Tony F.; Zou, Jun 9 1994 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 38 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 16 2014 Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037Zhu, Wei; Tai, Xue-Cheng; Chan, Tony 30 2013 Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015Zhu, Wei; Tai, Xue-Cheng; Chan, Tony 28 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 45 2012 Completely convex formulation of the Chan-Vese image segmentation model. Zbl 1254.68271Brown, Ethan S.; Chan, Tony F.; Bresson, Xavier 36 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 24 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 12 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. 15 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. 11 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. 189 2010 Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F. 39 2010 Wavelet inpainting by nonlocal total variation. Zbl 1185.42040Zhang, Xiaoqun; Chan, Tony F. 26 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. 15 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. 54 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 12 2008 Segmentation under occlusions using selective shape prior. Zbl 1207.94023Thiruvenkadam, Sheshadri R.; Chan, Tony F.; Hong, Byung-Woo 4 2008 Iterative methods for solving the dual formulation arising from image restoration. Zbl 1178.68620Chan, Tony F.; Chen, Ke; Carter, Jamylle L. 10 2007 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 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 2 2007 Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila 197 2006 Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley 82 2006 An optimization-based multilevel algorithm for total variation image denoising. Zbl 1120.68108Chan, Tony F.; Chen, Ke 22 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. 17 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 5 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) 213 2005 Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004Chan, Tony F.; Esedoglu, Selim 147 2005 Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng 54 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. 8 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 72 2004 A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020Tai, Xue-Cheng; Chan, Tony F. 22 2004 Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512Strong, David; Chan, Tony 77 2003 Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei 67 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. 7 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. 231 2002 Euler’s elastica and curvature-based inpainting. Zbl 1028.68185Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong 142 2002 Mathematical models for local nontexture inpaintings. Zbl 1050.68157Chan, Tony F.; Shen, Jianhong 105 2002 Modular solvers for image restoration problems using the discrepancy principle. Zbl 1071.68557Blomgren, Peter; Chan, Tony F. 13 2002 Subspace correction multi-level methods for elliptic eigenvalue problems. Zbl 1071.65549Chan, Tony F.; Sharapov, Ilya 11 2002 ENO-wavelet transforms for piecewise smooth functions. Zbl 1030.65147Chan, Tony F.; Zhou, H. M. 11 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. 498 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 217 2000 An energy-minimizing interpolation for robust multigrid methods. Zbl 0966.65098Wan, W. L.; Chan, Tony F.; Smith, Barry 33 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 192 1999 Galerkin projection methods for solving multiple linear systems. Zbl 0954.65027Chan, Tony F.; Ng, Michael K. 10 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 43 1998 An agglomeration multigrid method for unstructured grids. Zbl 0909.65102Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil 27 1998 Multigrid for differential-convolution problems arising from image processing. Zbl 0922.65097Chan, Raymond H.; Chan, Tony F.; Wan, W. L. 7 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 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. 23 1997 Wavelet sparse approximate inverse preconditioners. Zbl 0891.65048Chan, T. F.; Tang, W. P.; Wan, W. L. 20 1997 Linear system solvers: Sparse iterative methods. Zbl 0865.65014van der Vorst, Henk A.; Chan, Tony F. 5 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 Probabilistic analysis of Gaussian elimination without pivoting. Zbl 0871.65019Yeung, Man-Chung; Chan, Tony F. 4 1997 Augmented Lagrangian and total variation methods for recovering discontinuous coefficients from elliptic equations. Zbl 0911.65140Chan, Tony F.; Tai, Xue-Cheng 3 1997 ...and 85 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,609 Authors 79 Shu, Chi-Wang 52 Qiu, Jianxian 51 Tai, Xuecheng 44 Chen, Ke 39 Chan, Tony Fan-Cheong 39 Zhu, Jun 36 Huang, Ting-Zhu 35 Chan, Raymond Hon-Fu 34 Osher, Stanley Joel 32 Ng, Michael Kwok-Po 28 Jin, Xiaoqing 28 Shen, Zuowei 25 Serra-Capizzano, Stefano 25 Zeng, Tie Yong 24 Wu, Boying 23 Schönlieb, Carola-Bibiane 21 Dong, Bin 21 Lui, Lok Ming 20 Shen, Lixin 19 Burger, Martin 19 Lv, Xiaoguang 19 Wang, Hong 19 Wei, Yimin 19 Xu, Kun 19 Zhang, Xiaoqun 18 Cai, Jian-Feng 18 Guo, Zhichang 18 Li, Zi-Cai 18 Mulet, Pep 17 Reichel, Lothar 17 Xu, Jinchao 16 Amat, Sergio P. 15 Chien, Cheng-Sheng 15 Hintermüller, Michael 15 Huang, Hung-Tsai 15 Kang, Myungjoo 15 Zhao, Xile 14 Aràndiga, Francesc 14 Cremers, Daniel 14 Hansen, Per Christian 14 Leung, Shingyu 14 Schnörr, Christoph 14 Yuan, Xiaoming 13 He, Chuanjiang 13 Li, Fang 13 Liu, Jun 13 Pan, Liang 13 Pang, Zhifeng 13 Qian, Jianliang 13 Steidl, Gabriele 13 Valkonen, Tuomo 13 Wu, Chunlin 13 Xiao, Feng 13 Zhu, Wei 12 Bertozzi, Andrea Louise 12 Bürger, Raimund 12 Chang, Huibin 12 Duan, Yuping 12 Glowinski, Roland 12 Ha, Youngsoo 12 Shi, Yuying 12 Vese, Luminita A. 12 Weickert, Joachim 12 Xu, Yuesheng 11 Adams, Nikolaus A. 11 Chambolle, Antonin 11 Fu, Lin 11 Huang, Chieh-Sen 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 Dehghan Takht Fooladi, Mehdi 10 Fuchs, Martin 10 Ji, Hui 10 Laurain, Antoine 10 Lin, Fu-Rong 10 Lou, Yifei 10 Tyrtyshnikov, Evgeniĭ Evgen’evich 10 Wei, Ke 10 Zhao, Hongkai 9 Arbogast, Todd 9 Bae, Egil 9 Bredies, Kristian 9 Chen, Bo 9 Dong, Yiqiu 9 Gilboa, Guy 9 Huang, Cong 9 Kang, Sung Ha 9 Keyes, David Elliot 9 Le Guyader, Carole 9 Liu, Xinwu 9 Nagy, James Gerard 9 Pock, Thomas 9 Sgallari, Fiorella 9 Shen, Yiqing ...and 6,509 more Authors all top 5 Cited in 405 Serials 514 Journal of Computational Physics 271 Journal of Scientific Computing 211 Journal of Computational and Applied Mathematics 178 Journal of Mathematical Imaging and Vision 129 Computers & Mathematics with Applications 126 Applied Mathematics and Computation 124 Computers and Fluids 123 Linear Algebra and its Applications 121 SIAM Journal on Imaging Sciences 104 Applied Numerical Mathematics 92 SIAM Journal on Scientific Computing 81 Numerical Algorithms 74 Computer Methods in Applied Mechanics and Engineering 70 Inverse Problems and Imaging 65 International Journal of Computer Mathematics 58 Numerical Linear Algebra with Applications 55 International Journal of Computer Vision 52 Mathematical Problems in Engineering 47 Applied Mathematical Modelling 46 Advances in Computational Mathematics 45 Mathematics of Computation 43 Applied and Computational Harmonic Analysis 41 Inverse Problems 41 BIT 40 Numerische Mathematik 39 Pattern Recognition 36 Communications in Computational Physics 34 Computational & Mathematical Methods in Medicine 30 Computational Optimization and Applications 26 Inverse Problems in Science and Engineering 25 Journal of Fluid Mechanics 23 Calcolo 23 Computing 23 Computational and Applied Mathematics 21 International Journal for Numerical Methods in Fluids 21 International Journal for Numerical Methods in Engineering 21 Engineering Analysis with Boundary Elements 20 East Asian Journal on Applied Mathematics 19 Mathematics and Computers in Simulation 18 Journal of Optimization Theory and Applications 18 Multidimensional Systems and Signal Processing 18 International Journal of Computational Fluid Dynamics 18 Advances in Applied Mathematics and Mechanics 17 Journal of Mathematical Analysis and Applications 17 SIAM Journal on Matrix Analysis and Applications 17 Computational Geosciences 15 Information Sciences 15 SIAM Journal on Numerical Analysis 15 Applied Mathematics Letters 15 Computing and Visualization in Science 13 Numerical Methods for Partial Differential Equations 13 SIAM Journal on Optimization 13 Abstract and Applied Analysis 13 Foundations of Computational Mathematics 13 Multiscale Modeling & Simulation 12 Applicable Analysis 12 Acta Mathematicae Applicatae Sinica. 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