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Chan, Tony Fan-Cheong

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Author ID: chan.tony-fan-cheong Recent zbMATH articles by "Chan, Tony Fan-Cheong"
Published as: Chan, T.; Chan, T. F.; Chan, Tony; Chan, Tony F.; Chan, Tony F. C.; Chan, Tony Fan-Cheong
Homepage: https://www.seng.ust.hk/web/eng/people_detail.php?id=87
External Links: MGP · Wikidata · ORCID · dblp · GND
Documents Indexed: 214 Publications since 1979, including 12 Books
Biographic References: 1 Publication
all top 5

Co-Authors

17 single-authored
13 Tai, Xuecheng
10 Lui, Lok Ming
10 Shen, Jianhong
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 Kuo, C.-C. Jay
5 Resasco, Diana C.
5 Smith, Barry F.
5 Tong, Charles H.
5 Van der Vorst, Henk Albertus
5 Yau, Shing-Tung
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 Zhu, Wei
3 Esedoglu, Selim
3 Gu, Xianfeng
3 Jackson, Kenneth R.
3 Jung, Miyoun
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
3 Zhou, Hao-Min
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 Kang, Sung Ha
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 Paul
1 Foulser, David E.
1 Froyen, Johnny
1 Gallopoulos, Efstratios
1 Go, Susie
1 Gu, David Xianfeng
1 Gu, Xiangfeng
1 Haimes, Robert
...and 66 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 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 Journal of Mathematical Imaging and Vision
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 Lecture Notes in Computational Science and Engineering
1 Annals of Mathematical Sciences and Applications
1 Mathematics and Visualization

Publications by Year

Citations contained in zbMATH Open

181 Publications have been cited 5,486 times in 3,917 Documents Cited by Year
Weighted essentially non-oscillatory schemes. Zbl 0811.65076
Liu, Xu-Dong; Osher, Stanley; Chan, Tony
748
1994
Active contours without edges. Zbl 1039.68779
Chan, Tony F.; Vese, Luminita A.
413
2001
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
251
1993
Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127
Chan, Tony F.; Shen, Jianhong (Jackie)
195
2005
A multiphase level set framework for image segmentation using the Mumford and Shah model. Zbl 1012.68782
Vese, Luminita A.; Chan, Tony F.
185
2002
An optimal circulant preconditioner for Toeplitz systems. Zbl 0646.65042
Chan, Tony F.
181
1988
High-order total variation-based image restoration. Zbl 0968.68175
Chan, Tony; Marquina, Antonio; Mulet, Pep
176
2000
A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118
Chan, Tony F.; Golub, Gene H.; Mulet, Pep
171
1999
A variational level set approach to multiphase motion. Zbl 0860.65050
Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S.
170
1996
Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002
Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila
165
2006
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.
142
2010
Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004
Chan, Tony F.; Esedoglu, Selim
130
2005
Domain decomposition algorithms. Zbl 0809.65112
Chan, Tony F.; Mathew, Tarek P.
125
1994
Euler’s elastica and curvature-based inpainting. Zbl 1028.68185
Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong
116
2002
Rang revealing QR factorizations. Zbl 0624.65025
Chan, Tony F.
91
1987
Mathematical models for local nontexture inpaintings. Zbl 1050.68157
Chan, Tony F.; Shen, Jianhong
90
2002
Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011
Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley
69
2006
Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Zbl 1036.65086
Chan, Tony F.; Tai, Xue-Cheng
65
2004
Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512
Strong, David; Chan, Tony
64
2003
Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei
61
2003
Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143
Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng
48
2005
Identification of discontinuous coefficients in elliptic problems using total variation regularization. Zbl 1046.65090
Chan, Tony F.; Tai, Xue-Cheng
45
2003
Effectively well-conditioned linear systems. Zbl 0664.65041
Chan, Tony F.; Foulser, David E.
45
1988
Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337
Bresson, Xavier; Chan, Tony F.
44
2008
Analysis of projection methods for solving linear systems with multiple right-hand sides. Zbl 0888.65033
Chan, Tony F.; Wan, W. L.
40
1997
On the convergence of the lagged diffusivity fixed point method in total variation image restoration. Zbl 0923.65037
Chan, Tony F.; Mulet, Pep
37
1998
Arc-length continuation and multi-grid techniques for nonlinear elliptic eigenvalue problems. Zbl 0497.65028
Chan, Tony F. C.; Keller, H. B.
36
1982
Image denoising using mean curvature of image surface. Zbl 1258.94021
Zhu, Wei; Chan, Tony
35
2012
An improved algorithm for computing the singular value decomposition. Zbl 0477.65032
Chan, Tony F.
35
1982
Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165
Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F.
34
2010
The digital TV filter and nonlinear denoising. Zbl 1039.68778
Chan, Tony F.; Osher, Stanley; Shen, Jianhong
34
2001
Some applications of the rank revealing QR factorization. Zbl 0756.65032
Chan, Tony F.; Hansen, Per Christian
34
1992
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.
32
1994
Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms. Zbl 0574.65043
Chan, Tony F.; Jackson, Kenneth R.
31
1984
An energy-minimizing interpolation for robust multigrid methods. Zbl 0966.65098
Wan, W. L.; Chan, Tony F.; Smith, Barry
29
2000
Analysis of preconditioners for domain decomposition. Zbl 0625.65100
Chan, Tony F.
29
1987
Completely convex formulation of the Chan-Vese image segmentation model. Zbl 1254.68271
Brown, Ethan S.; Chan, Tony F.; Bresson, Xavier
28
2012
Fourier analysis of iterative methods for elliptic problems. Zbl 0684.65092
Chan, Tony F.; Elman, Howard C.
27
1989
Variational image inpainting. Zbl 1067.68168
Chan, Tony F.; Shen, Jianhong
25
2005
Variational PDE models in image processing. Zbl 1168.94315
Chan, Tony F.; Shen, Jianhong; Vese, Luminita
25
2003
Circulant preconditioners for Toeplitz-block matrices. Zbl 0793.65020
Chan, Tony F.; Olkin, Julia A.
25
1994
Wavelet inpainting by nonlocal total variation. Zbl 1185.42040
Zhang, Xiaoqun; Chan, Tony F.
23
2010
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
23
1998
PLTMGC: A multi-grid continuation program for parameterized nonlinear elliptic systems. Zbl 0589.65074
Bank, Randolph E.; Chan, Tony F.
23
1986
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
22
2013
Approximate and incomplete factorizations. Zbl 0865.65015
Chan, Tony F.; van der Vorst, Henk A.
21
1997
Fourier methods with extended stability intervals for the Korteweg-de Vries equation. Zbl 0571.65082
Chan, Tony F.; Kerkhoven, Tom
21
1985
Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
20
2016
An optimization-based multilevel algorithm for total variation image denoising. Zbl 1120.68108
Chan, Tony F.; Chen, Ke
20
2006
Wavelet sparse approximate inverse preconditioners. Zbl 0891.65048
Chan, T. F.; Tang, W. P.; Wan, W. L.
20
1997
Stability analysis of difference schemes for variable coefficient Schrödinger type equations. Zbl 0646.65089
Chan, Tony F.; Shen, Longjun
20
1987
Deflation techniques and block-elimination algorithms for solving bordered singular systems. Zbl 0536.65028
Chan, Tony F.
20
1984
Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
19
2013
An analysis of the composite step biconjugate gradient method. Zbl 0802.65038
Bank, Randolph E.; Chan, Tony F.
19
1993
Stability analysis of finite difference schemes for the advection- diffusion equation. Zbl 0553.65059
Chan, Tony F.
19
1984
Large amplitude internal waves of permanent form. Zbl 0484.76034
Tung, Ka-Kit; Chan, Tony F.; Kubota, Toshi
19
1982
A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020
Tai, Xue-Cheng; Chan, Tony F.
18
2004
A look-ahead Levinson algorithm for general Toeplitz systems. Zbl 0756.65044
Chan, Tony F.; Hansen, Per C.
18
1992
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
17
2012
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.
17
2006
A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0809.65025
Bank, Randolph E.; Chan, Tony F.
17
1994
Overlapping Schwarz methods on unstructured meshes using non-matching coarse grids. Zbl 0879.65082
Chan, Tony F.; Smith, Barry F.; Zou, Jun
16
1996
Generalized deflated block-elimination. Zbl 0624.65024
Chan, Tony F.; Resasco, Diana C.
16
1986
A look-ahead Levinson algorithm for indefinite Toeplitz systems. Zbl 0752.65020
Chan, Tony F.; Hansen, Per Christian
15
1992
Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098
Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J.
15
1983
Robust multigrid methods for nonsmooth coefficient elliptic linear systems. Zbl 0966.65099
Chan, Tony F.; Wan, W. L.
14
2000
Variational PDE models and methods for image processing. Zbl 0953.68621
Blomgren, P.; Chan, T. F.; Mulet, P.; Vese, L.; Wan, W. L.
14
2000
The interface probing technique in domain decomposition. Zbl 0754.65099
Chan, Tony F. C.; Mathew, Tarek P.
14
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
Deflated decomposition of solutions of nearly singular systems. Zbl 0572.65012
Chan, Tony F.
14
1984
A convergence theory of multilevel additive Schwarz methods on unstructured meshes. Zbl 0872.65097
Chan, Tony F.; Zou, Jun
13
1996
Geometry related convergence results for domain decomposition algorithms. Zbl 0724.65109
Chan, Tony F.; Hou, Thomas Y.; Lions, P. L.
13
1991
Domain decomposition methods. Proceedings of the 2nd international symposium, held at the University of California, Los Angeles, January 14- 16, 1988. Zbl 0675.00021
Chan, Tony F. (ed.); Glowinski, Roland (ed.); Periaux, Jacques (ed.); Widlund, Olof B. (ed.)
13
1989
Stable explicit schemes for equations of the Schrödinger type. Zbl 0618.65078
Chan, Tony F.; Lee, Ding; Shen, Longjun
13
1986
Nonlocal Mumford-Shah regularizers for color image restoration. Zbl 1372.94124
Jung, Miyoun; Bresson, Xavier; Chan, Tony F.; Vese, Luminita A.
12
2011
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.
12
2010
Fifth international SIAM symposium on domain decomposition methods for partial differential equations, held in Norfolk, Virginia, USA, May 6-8, 1991. Zbl 0758.00015
Keyes, David E. (ed.); Chan, Tony F. (ed.); Meurant, Gérard (ed.); Scroggs, Jeffrey S. (ed.); Voigt, Robert G. (ed.)
12
1992
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
Segmentation with depth: a level set approach. Zbl 1344.68266
Zhu, Wei; Chan, Tony; Esedoḡlu, Selim
11
2006
On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation. Zbl 1096.94003
Chan, Tony F.; Chen, Ke
11
2006
Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001
Chan, Tony; Shen, Jianhong
11
2000
Cosine transform preconditioners for high resolution image reconstruction. Zbl 0993.65056
Ng, Michael K.; Chan, Raymond H.; Chan, Tony F.; Yip, Andy M.
11
2000
ML(k)BiCGSTAB: A biCGSTAB variant based on multiple Lanczos starting vectors. Zbl 0959.65048
Yeung, Man-Chung; Chan, Tony F.
11
2000
Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations. Zbl 0699.65030
Chan, Tony F.; Hansen, Per Christian
11
1990
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.
11
1989
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
10
2012
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.
10
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
Modular solvers for image restoration problems using the discrepancy principle. Zbl 1071.68557
Blomgren, Peter; Chan, Tony F.
10
2002
Subspace correction multi-level methods for elliptic eigenvalue problems. Zbl 1071.65549
Chan, Tony F.; Sharapov, Ilya
10
2002
ENO-wavelet transforms for piecewise smooth functions. Zbl 1030.65147
Chan, Tony F.; Zhou, H. M.
10
2002
A composite step conjugate gradients squared algorithm for solving nonsymmetric linear systems. Zbl 0809.65026
Chan, Tony F.; Szeto, Tedd
10
1994
Low-rank revealing QR factorizations. Zbl 0804.65027
Chan, Tony F.
10
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
Chan, Tony F. (ed.); Glowinski, Roland (ed.); Periaux, Jacques (ed.); Widlund, Olof B. (ed.)
10
1990
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
9
2014
Galerkin projection methods for solving multiple linear systems. Zbl 0954.65027
Chan, Tony F.; Ng, Michael K.
9
1999
Interface preconditionings for domain-decomposed convection-diffusion operators. Zbl 0722.65060
Chan, Tony F.; Keyes, David E.
9
1990
A domain-decomposed fast Poisson solver on a rectangle. Zbl 0624.65100
Chan, Tony F.; Resasco, Diana C.
9
1987
On the existence and computation of LU-factorizations with small pivots. Zbl 0574.65018
Chan, Tony F.
9
1984
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
8
2008
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.
1
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.
2
2017
Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
20
2016
Mumford and Shah model and its applications to image segmentation and image restoration. Zbl 1331.94011
Bar, Leah; Chan, Tony F.; Chung, Ginmo; Jung, Miyoun; Vese, Luminita A.; Kiryati, Nahum; Sochen, Nir
3
2015
Numerical methods and applications in total variation image restoration. 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
9
2014
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
22
2013
Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
19
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
35
2012
Completely convex formulation of the Chan-Vese image segmentation model. Zbl 1254.68271
Brown, Ethan S.; Chan, Tony F.; Bresson, Xavier
28
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
17
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
10
2012
A novel sparsity reconstruction method from Poisson data for 3D bioluminescence tomography. Zbl 1251.92028
Zhang, Xiaoqun; Lu, Yujie; Chan, Tony
3
2012
A multiphase logic framework for multichannel image segmentation. Zbl 1235.68311
Keegan, Matthew S.; Sandberg, Berta; 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.
12
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.
10
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.
142
2010
Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165
Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F.
34
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.
12
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
4
2010
Unsupervised multiphase segmentation: a phase balancing model. Zbl 1371.94325
Sandberg, Berta; Kang, Sung Ha; Chan, Tony F.
3
2010
Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337
Bresson, Xavier; Chan, Tony F.
44
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
8
2008
Segmentation under occlusions using selective shape prior. Zbl 1207.94023
Thiruvenkadam, Sheshadri R.; Chan, Tony F.; Hong, Byung-Woo
3
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.
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.
5
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
Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002
Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila
165
2006
Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011
Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley
69
2006
An optimization-based multilevel algorithm for total variation image denoising. Zbl 1120.68108
Chan, Tony F.; Chen, Ke
20
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.
17
2006
Segmentation with depth: a level set approach. Zbl 1344.68266
Zhu, Wei; Chan, Tony; Esedoḡlu, Selim
11
2006
On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation. Zbl 1096.94003
Chan, Tony F.; Chen, Ke
11
2006
Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127
Chan, Tony F.; Shen, Jianhong (Jackie)
195
2005
Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004
Chan, Tony F.; Esedoglu, Selim
130
2005
Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143
Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng
48
2005
Variational image inpainting. Zbl 1067.68168
Chan, Tony F.; Shen, Jianhong
25
2005
Solving PDEs on manifolds with global conformal parametriazation. Zbl 1159.68597
Lui, Lok Ming; Wang, Yalin; Chan, Tony F.
7
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
65
2004
A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020
Tai, Xue-Cheng; Chan, Tony F.
18
2004
Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512
Strong, David; Chan, Tony
64
2003
Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei
61
2003
Identification of discontinuous coefficients in elliptic problems using total variation regularization. Zbl 1046.65090
Chan, Tony F.; Tai, Xue-Cheng
45
2003
Variational PDE models in image processing. Zbl 1168.94315
Chan, Tony F.; Shen, Jianhong; Vese, Luminita
25
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
On the convergence of Stewart’s QLP algorithm for approximating the SVD. Zbl 1035.65034
Huckaby, David A.; Chan, Tony F.
6
2003
On the role of the BV image model in image restoration. Zbl 1035.94501
Chan, Tony F.; Shen, Jianhong
5
2003
A phase error analysis of multigrid methods for hyperbolic equations. Zbl 1049.65094
Wan, W. L.; Chan, Tony F.
3
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.
185
2002
Euler’s elastica and curvature-based inpainting. Zbl 1028.68185
Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong
116
2002
Mathematical models for local nontexture inpaintings. Zbl 1050.68157
Chan, Tony F.; Shen, Jianhong
90
2002
Modular solvers for image restoration problems using the discrepancy principle. Zbl 1071.68557
Blomgren, Peter; Chan, Tony F.
10
2002
Subspace correction multi-level methods for elliptic eigenvalue problems. Zbl 1071.65549
Chan, Tony F.; Sharapov, Ilya
10
2002
ENO-wavelet transforms for piecewise smooth functions. Zbl 1030.65147
Chan, Tony F.; Zhou, H. M.
10
2002
On two variants of an algebraic wavelet preconditioner. Zbl 1013.65040
Chan, Tony F.; Chen, Ke
4
2002
Active contour and segmentation models using geometric PDE’s for medical imaging. Zbl 1011.92032
Chan, T. F.; Vese, L. A.
4
2002
Inpainting based on nonlinear transport and diffusion. Zbl 1027.68139
Chan, Tony F.; Shen, Jianhong
2
2002
Multiscale and multiresolution methods. Theory and applications. Zbl 0976.00008
Barth, Timothy J. (ed.); Chan, Tony (ed.); Haimes, Robert (ed.)
2
2002
Active contours without edges. Zbl 1039.68779
Chan, Tony F.; Vese, Luminita A.
413
2001
The digital TV filter and nonlinear denoising. Zbl 1039.68778
Chan, Tony F.; Osher, Stanley; Shen, Jianhong
34
2001
High-order total variation-based image restoration. Zbl 0968.68175
Chan, Tony; Marquina, Antonio; Mulet, Pep
176
2000
An energy-minimizing interpolation for robust multigrid methods. Zbl 0966.65098
Wan, W. L.; Chan, Tony F.; Smith, Barry
29
2000
Robust multigrid methods for nonsmooth coefficient elliptic linear systems. Zbl 0966.65099
Chan, Tony F.; Wan, W. L.
14
2000
Variational PDE models and methods for image processing. Zbl 0953.68621
Blomgren, P.; Chan, T. F.; Mulet, P.; Vese, L.; Wan, W. L.
14
2000
Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001
Chan, Tony; Shen, Jianhong
11
2000
Cosine transform preconditioners for high resolution image reconstruction. Zbl 0993.65056
Ng, Michael K.; Chan, Raymond H.; Chan, Tony F.; Yip, Andy M.
11
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.
5
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
171
1999
Galerkin projection methods for solving multiple linear systems. Zbl 0954.65027
Chan, Tony F.; Ng, Michael K.
9
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
37
1998
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
23
1998
Multigrid for differential-convolution problems arising from image processing. Zbl 0922.65097
Chan, Raymond H.; Chan, Tony F.; Wan, W. L.
5
1998
Overlapping domain decomposition and multigrid methods for inverse problems. Zbl 0910.65103
Tai, Xue-Cheng; Frøyen, Johnny; Espedal, Magne S.; Chan, Tony F.
5
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
4
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.
40
1997
Approximate and incomplete factorizations. Zbl 0865.65015
Chan, Tony F.; van der Vorst, Henk A.
21
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.
5
1997
Iterative methods for total variation image restoration. Zbl 0938.65155
Chan, Tony F.; Mulet, Pep
4
1997
Probabilistic analysis of Gaussian elimination without pivoting. Zbl 0871.65019
Yeung, Man-Chung; Chan, Tony F.
4
1997
Linear system solvers: Sparse iterative methods. Zbl 0865.65014
van der Vorst, Henk A.; Chan, Tony F.
4
1997
Augmented Lagrangian and total variation methods for recovering discontinuous coefficients from elliptic equations. Zbl 0911.65140
Chan, Tony F.; Tai, Xue-Cheng
3
1997
A variational level set approach to multiphase motion. Zbl 0860.65050
Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S.
170
1996
Overlapping Schwarz methods on unstructured meshes using non-matching coarse grids. Zbl 0879.65082
Chan, Tony F.; Smith, Barry F.; Zou, Jun
16
1996
A convergence theory of multilevel additive Schwarz methods on unstructured meshes. Zbl 0872.65097
Chan, Tony F.; Zou, Jun
13
1996
Composite step product methods for solving nonsymmetric linear systems. Zbl 0862.65018
Chan, Tony F.; Szeto, Tedd
8
1996
...and 81 more Documents
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Cited by 6,319 Authors

69 Shu, Chi-Wang
39 Qiu, Jianxian
39 Tai, Xuecheng
38 Chan, Tony Fan-Cheong
38 Chen, Ke
37 Huang, Ting-Zhu
32 Chan, Raymond Hon-Fu
31 Osher, Stanley Joel
28 Jin, Xiaoqing
28 Shen, Zuowei
24 Ng, Michael Kwok-Po
24 Serra-Capizzano, Stefano
24 Zhu, Jun
20 Schönlieb, Carola-Bibiane
20 Wang, Hong
19 Wei, Yimin
19 Wu, Boying
18 Li, Zi-Cai
18 Lv, Xiaoguang
18 Shen, Lixin
17 Burger, Martin
17 Lui, Lok Ming
17 Mulet, Pep
17 Reichel, Lothar
17 Zeng, Tie Yong
17 Zhang, Xiaoqun
16 Dong, Bin
16 Xu, Jinchao
15 Chien, Cheng-Sheng
15 Huang, Hung-Tsai
15 Liu, Jun
14 Amat, Sergio P.
14 Cai, Jian-Feng
14 Kang, Myungjoo
14 Zhao, Xile
13 Aràndiga, Francesc
13 Bertozzi, Andrea Louise
13 Hansen, Per Christian
13 He, Chuanjiang
13 Hintermüller, Michael
13 Leung, Shingyu
13 Steidl, Gabriele
13 Valkonen, Tuomo
13 Xu, Yuesheng
12 Cremers, Daniel
12 Guo, Zhichang
12 Pang, Zhifeng
12 Qian, Jianliang
12 Shi, Yuying
12 Vese, Luminita A.
12 Wu, Chunlin
11 Aujol, Jean-François
11 Dehghan Takht Fooladi, Mehdi
11 Ha, Youngsoo
11 Schnörr, Christoph
11 Yuan, Xiaoming
11 Zou, Jun
10 Chambolle, Antonin
10 Fuchs, Martin
10 Gibou, Frédéric
10 Ji, Hui
10 Jung, Miyoun
10 Li, Fang
10 Ruuth, Steven J.
10 Xu, Kun
10 Zhao, Hongkai
9 Bae, Egil
9 Bredies, Kristian
9 Bürger, Raimund
9 Huang, Chieh-Sen
9 Kim, Changho
9 Laurain, Antoine
9 Le Guyader, Carole
9 Lellmann, Jan
9 Lin, Furong
9 Morigi, Serena
9 Scherzer, Otmar
9 Sgallari, Fiorella
9 Tyrtyshnikov, Evgeniĭ Evgen’evich
9 Zhang, Jun
9 Zhang, Mengping
8 Adams, Nikolaus A.
8 Arbogast, Todd
8 Ascher, Uri M.
8 Balsara, Dinshaw S.
8 Bildhauer, Michael
8 Chang, Huibin
8 Chen, Dai-Qiang
8 Chen, Yunmei
8 Dong, Yiqiu
8 Duan, Yuping
8 Gilboa, Guy
8 Glowinski, Roland
8 Gottlieb, Sigal
8 Huang, Cong
8 Keyes, David Elliot
8 Lee, Chang-Ock
8 Mannseth, Trond
8 Nagy, James Gerard
8 Pan, Liang
...and 6,219 more Authors
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Cited in 354 Serials

507 Journal of Computational Physics
233 Journal of Scientific Computing
216 Journal of Computational and Applied Mathematics
142 Journal of Mathematical Imaging and Vision
128 Linear Algebra and its Applications
126 Computers & Mathematics with Applications
119 Applied Mathematics and Computation
113 Applied Numerical Mathematics
95 SIAM Journal on Imaging Sciences
93 Computers and Fluids
85 Computer Methods in Applied Mechanics and Engineering
75 Numerical Algorithms
67 SIAM Journal on Scientific Computing
58 Numerical Linear Algebra with Applications
56 International Journal of Computer Mathematics
54 Inverse Problems and Imaging
52 Mathematical Problems in Engineering
45 Advances in Computational Mathematics
44 Mathematics of Computation
41 Applied and Computational Harmonic Analysis
40 Numerische Mathematik
39 BIT
39 Pattern Recognition
38 Applied Mathematical Modelling
34 Computational & Mathematical Methods in Medicine
33 Inverse Problems
33 International Journal of Computer Vision
32 Engineering Analysis with Boundary Elements
24 Computational Optimization and Applications
23 Calcolo
23 Computing
22 Inverse Problems in Science and Engineering
21 International Journal for Numerical Methods in Fluids
21 International Journal for Numerical Methods in Engineering
19 Journal of Fluid Mechanics
19 Mathematics and Computers in Simulation
18 Journal of Mathematical Analysis and Applications
18 Journal of Optimization Theory and Applications
18 Multidimensional Systems and Signal Processing
17 Computational Geosciences
15 Computer Physics Communications
15 SIAM Journal on Numerical Analysis
15 Applied Mathematics Letters
14 Information Sciences
14 SIAM Journal on Matrix Analysis and Applications
14 Computing and Visualization in Science
14 East Asian Journal on Applied Mathematics
13 Numerical Methods for Partial Differential Equations
13 Abstract and Applied Analysis
12 Acta Mathematicae Applicatae Sinica. English Series
12 Journal of Mathematical Sciences (New York)
12 Computational and Applied Mathematics
12 Multiscale Modeling & Simulation
12 International Journal of Wavelets, Multiresolution and Information Processing
11 Applicable Analysis
11 SIAM Journal on Optimization
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11 Journal of Applied Mathematics
10 Signal Processing
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10 Foundations of Computational Mathematics
9 Numerical Functional Analysis and Optimization
9 Theoretical Computer Science
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9 Applied Mathematics. Series B (English Edition)
8 Mathematical Methods in the Applied Sciences
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Applied Mathematics and Mechanics. (English Edition)
8 Computer Aided Geometric Design
8 Communications in Numerical Methods in Engineering
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8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Journal of the Franklin Institute
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7 Circuits, Systems, and Signal Processing
7 SIAM Journal on Mathematical Analysis
7 Mathematical Programming. Series A. Series B
7 Optimization Methods & Software
7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
7 Journal of Applied Mathematics and Computing
7 Acta Numerica
7 Journal of the Operations Research Society of China
6 Wave Motion
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Communications in Nonlinear Science and Numerical Simulation
6 Archives of Computational Methods in Engineering
6 International Journal of Computational Methods
5 Systems & Control Letters
5 SIAM Journal on Applied Mathematics
5 SIAM Review
5 International Journal of Numerical Methods for Heat & Fluid Flow
5 Journal of Inverse and Ill-Posed Problems
5 ETNA. Electronic Transactions on Numerical Analysis
5 Combustion Theory and Modelling
5 Advances in Difference Equations
5 International Journal for Numerical Methods in Biomedical Engineering
4 Linear and Multilinear Algebra
...and 254 more Serials
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Cited in 48 Fields

2,552 Numerical analysis (65-XX)
945 Partial differential equations (35-XX)
817 Information and communication theory, circuits (94-XX)
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628 Computer science (68-XX)
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