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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, Tony F.; Chan, Tony; Chan, T. F.; Chan, Tony F. C.; Chan, Tony Fan-Cheong; Chan, T.
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

Publications by Year

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 0811.65076
Liu, Xu-Dong; Osher, Stanley; Chan, Tony
943
1994
Active contours without edges. Zbl 1039.68779
Chan, Tony F.; Vese, Luminita A.
498
2001
A multiphase level set framework for image segmentation using the Mumford and Shah model. Zbl 1012.68782
Vese, Luminita A.; Chan, Tony F.
231
2002
High-order total variation-based image restoration. Zbl 0968.68175
Chan, Tony; Marquina, Antonio; Mulet, Pep
217
2000
Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127
Chan, Tony F.; Shen, Jianhong (Jackie)
213
2005
An optimal circulant preconditioner for Toeplitz systems. Zbl 0646.65042
Chan, Tony F.
201
1988
Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002
Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila
197
2006
A variational level set approach to multiphase motion. Zbl 0860.65050
Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S.
193
1996
A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118
Chan, 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 1206.90117
Esser, Ernie; Zhang, Xiaoqun; Chan, Tony F.
189
2010
Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004
Chan, Tony F.; Esedoglu, Selim
147
2005
Euler’s elastica and curvature-based inpainting. Zbl 1028.68185
Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong
142
2002
Domain decomposition algorithms. Zbl 0809.65112
Chan, Tony F.; Mathew, Tarek P.
133
1994
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
133
1993
Mathematical models for local nontexture inpaintings. Zbl 1050.68157
Chan, Tony F.; Shen, Jianhong
105
2002
Rang revealing QR factorizations. Zbl 0624.65025
Chan, Tony F.
99
1987
Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011
Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley
82
2006
Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512
Strong, David; Chan, Tony
77
2003
Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Zbl 1036.65086
Chan, Tony F.; Tai, Xue-Cheng
72
2004
Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127
Chan, 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 1188.68337
Bresson, Xavier; Chan, Tony F.
54
2008
Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143
Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng
54
2005
Identification of discontinuous coefficients in elliptic problems using total variation regularization. Zbl 1046.65090
Chan, Tony F.; Tai, Xue-Cheng
49
2003
Effectively well-conditioned linear systems. Zbl 0664.65041
Chan, Tony F.; Foulser, David E.
48
1988
Image denoising using mean curvature of image surface. Zbl 1258.94021
Zhu, Wei; Chan, Tony
45
2012
Analysis of projection methods for solving linear systems with multiple right-hand sides. Zbl 0888.65033
Chan, Tony F.; Wan, W. L.
44
1997
On the convergence of the lagged diffusivity fixed point method in total variation image restoration. Zbl 0923.65037
Chan, Tony F.; Mulet, Pep
43
1998
The digital TV filter and nonlinear denoising. Zbl 1039.68778
Chan, Tony F.; Osher, Stanley; Shen, Jianhong
41
2001
Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165
Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F.
39
2010
Arc-length continuation and multi-grid techniques for nonlinear elliptic eigenvalue problems. Zbl 0497.65028
Chan, Tony F. C.; Keller, H. B.
38
1982
Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
38
2016
Some applications of the rank revealing QR factorization. Zbl 0756.65032
Chan, Tony F.; Hansen, Per Christian
38
1992
An improved algorithm for computing the singular value decomposition. Zbl 0477.65032
Chan, Tony F.
36
1982
Completely convex formulation of the Chan-Vese image segmentation model. Zbl 1254.68271
Brown, Ethan S.; Chan, Tony F.; Bresson, Xavier
36
2012
A quasi-minimal residual variant of the Bi-CGSTAB algorithm for nonsymmetric systems. Zbl 0803.65038
Chan, T. F.; Gallopoulos, E.; Simoncini, V.; Szeto, T.; Tong, C. H.
34
1994
An energy-minimizing interpolation for robust multigrid methods. Zbl 0966.65098
Wan, W. L.; Chan, Tony F.; Smith, Barry
33
2000
Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms. Zbl 0574.65043
Chan, Tony F.; Jackson, Kenneth R.
32
1984
Variational PDE models in image processing. Zbl 1168.94315
Chan, Tony F.; Shen, Jianhong; Vese, Luminita
31
2003
Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
30
2013
Analysis of preconditioners for domain decomposition. Zbl 0625.65100
Chan, Tony F.
29
1987
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
28
2013
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
27
1998
Fourier analysis of iterative methods for elliptic problems. Zbl 0684.65092
Chan, Tony F.; Elman, Howard C.
27
1989
Wavelet inpainting by nonlocal total variation. Zbl 1185.42040
Zhang, Xiaoqun; Chan, Tony F.
26
2010
Variational image inpainting. Zbl 1067.68168
Chan, Tony F.; Shen, Jianhong
26
2005
Fourier methods with extended stability intervals for the Korteweg-de Vries equation. Zbl 0571.65082
Chan, Tony F.; Kerkhoven, Tom
25
1985
Circulant preconditioners for Toeplitz-block matrices. Zbl 0793.65020
Chan, Tony F.; Olkin, Julia A.
25
1994
Optimization of surface registrations using Beltrami holomorphic flow. Zbl 1244.65096
Lui, Lok Ming; Wong, Tsz Wai; Zeng, Wei; Gu, Xianfeng; Thompson, Paul M.; Chan, Tony F.; Yau, Shing-Tung
24
2012
PLTMGC: A multi-grid continuation program for parameterized nonlinear elliptic systems. Zbl 0589.65074
Bank, Randolph E.; Chan, Tony F.
23
1986
Approximate and incomplete factorizations. Zbl 0865.65015
Chan, Tony F.; van der Vorst, Henk A.
23
1997
Stability analysis of difference schemes for variable coefficient Schrödinger type equations. Zbl 0646.65089
Chan, Tony F.; Shen, Longjun
23
1987
An optimization-based multilevel algorithm for total variation image denoising. Zbl 1120.68108
Chan, Tony F.; Chen, Ke
22
2006
A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020
Tai, Xue-Cheng; Chan, Tony F.
22
2004
An analysis of the composite step biconjugate gradient method. Zbl 0802.65038
Bank, Randolph E.; Chan, Tony F.
21
1993
Deflation techniques and block-elimination algorithms for solving bordered singular systems. Zbl 0536.65028
Chan, Tony F.
20
1984
Stability analysis of finite difference schemes for the advection- diffusion equation. Zbl 0553.65059
Chan, Tony F.
20
1984
Wavelet sparse approximate inverse preconditioners. Zbl 0891.65048
Chan, T. F.; Tang, W. P.; Wan, W. L.
20
1997
Large amplitude internal waves of permanent form. Zbl 0484.76034
Tung, Ka-Kit; Chan, Tony F.; Kubota, Toshi
20
1982
Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098
Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J.
19
1983
A look-ahead Levinson algorithm for general Toeplitz systems. Zbl 0756.65044
Chan, Tony F.; Hansen, Per C.
19
1992
Robust multigrid methods for nonsmooth coefficient elliptic linear systems. Zbl 0966.65099
Chan, Tony F.; Wan, W. L.
18
2000
A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0809.65025
Bank, Randolph E.; Chan, Tony F.
18
1994
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
Generalized deflated block-elimination. Zbl 0624.65024
Chan, 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 1366.68230
Bresson, Xavier; Tai, Xue-Cheng; Chan, Tony F.; Szlam, Arthur
16
2014
Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001
Chan, Tony; Shen, Jianhong
16
2000
Overlapping Schwarz methods on unstructured meshes using non-matching coarse grids. Zbl 0879.65082
Chan, Tony F.; Smith, Barry F.; Zou, Jun
16
1996
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.
15
2010
Nonlocal Mumford-Shah regularizers for color image restoration. Zbl 1372.94124
Jung, Miyoun; Bresson, Xavier; Chan, Tony F.; Vese, Luminita A.
15
2011
Geometry related convergence results for domain decomposition algorithms. Zbl 0724.65109
Chan, Tony F.; Hou, Thomas Y.; Lions, P. L.
15
1991
A look-ahead Levinson algorithm for indefinite Toeplitz systems. Zbl 0752.65020
Chan, Tony F.; Hansen, Per Christian
15
1992
Variational PDE models and methods for image processing. Zbl 0953.68621
Blomgren, 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 0872.65097
Chan, Tony F.; Zou, Jun
14
1996
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
The interface probing technique in domain decomposition. Zbl 0754.65099
Chan, Tony F. C.; Mathew, Tarek P.
14
1992
Cosine transform preconditioners for high resolution image reconstruction. Zbl 0993.65056
Ng, Michael K.; Chan, Raymond H.; Chan, Tony F.; Yip, Andy M.
13
2000
On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation. Zbl 1096.94003
Chan, Tony F.; Chen, Ke
13
2006
Modular solvers for image restoration problems using the discrepancy principle. Zbl 1071.68557
Blomgren, Peter; Chan, Tony F.
13
2002
Variational method on Riemann surfaces using conformal parameterization and its applications to image processing. Zbl 1185.68807
Lui, Lok Ming; Gu, Xianfeng; Chan, Tony F.; Yau, Shing-Tung
12
2008
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
12
2012
Stable explicit schemes for equations of the Schrödinger type. Zbl 0618.65078
Chan, Tony F.; Lee, Ding; Shen, Longjun
12
1986
Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations. Zbl 0699.65030
Chan, Tony F.; Hansen, Per Christian
12
1990
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.
12
1989
Segmentation with depth: a level set approach. Zbl 1344.68266
Zhu, 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 0611.65050
Chan, Tony F.; Jackson, Kenneth R.
12
1986
Deflated decomposition of solutions of nearly singular systems. Zbl 0572.65012
Chan, Tony F.
11
1984
ML(k)BiCGSTAB: A biCGSTAB variant based on multiple Lanczos starting vectors. Zbl 0959.65048
Yeung, Man-Chung; Chan, Tony F.
11
2000
Low-rank revealing QR factorizations. Zbl 0804.65027
Chan, Tony F.
11
1994
Subspace correction multi-level methods for elliptic eigenvalue problems. Zbl 1071.65549
Chan, Tony F.; Sharapov, Ilya
11
2002
Mumford and Shah model and its applications to image segmentation and image restoration. Zbl 1259.94009
Bar, Leah; Chan, Tony F.; Chung, Ginmo; Jung, Miyoun; Kiryati, Nahum; Mohieddine, Rami; Sochen, Nir; Vese, Luminita A.
11
2011
ENO-wavelet transforms for piecewise smooth functions. Zbl 1030.65147
Chan, Tony F.; Zhou, H. M.
11
2002
Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071
Chan, T. F.; Golub, Gene H.; LeVeque, Randall J.
10
1982
Newton-like pseudo-arclength methods for computing simple turning points. Zbl 0536.65029
Chan, Tony F.
10
1984
Iterative methods for solving the dual formulation arising from image restoration. Zbl 1178.68620
Chan, 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 1111.92007
Lui, Lok Ming; Wang, Yalin; Chan, Tony F.; Thompson, Paul
10
2007
Galerkin projection methods for solving multiple linear systems. Zbl 0954.65027
Chan, Tony F.; Ng, Michael K.
10
1999
A composite step conjugate gradients squared algorithm for solving nonsymmetric linear systems. Zbl 0809.65026
Chan, 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 0815.65127
Chan, Tony F.; Zou, Jun
9
1994
Guarantees of Riemannian optimization for low rank matrix completion. Zbl 1439.65059
Wei, 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 1387.62080
Wei, Ke; Yin, Ke; Tai, Xue-Cheng; Chan, Tony F.
4
2018
A level set based variational principal flow method for nonparametric dimension reduction on Riemannian manifolds. Zbl 1379.65041
Liu, Hao; Yao, Zhigang; Leung, Shingyu; Chan, Tony F.
3
2017
Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
38
2016
Mumford and Shah model and its applications to image segmentation and image restoration. 2nd edition. Zbl 1331.94011
Bar, Leah; Chan, Tony F.; Chung, Ginmo; Jung, Miyoun; Vese, Luminita A.; Kiryati, Nahum; Sochen, Nir
4
2015
Numerical methods and applications in total variation image restoration. 2nd edition. Zbl 1331.68265
Chan, Raymond; Chan, Tony F.; Yip, Andy
1
2015
Multi-class transductive learning based on \(\ell^1\) relaxations of Cheeger cut and Mumford-Shah-Potts model. Zbl 1366.68230
Bresson, Xavier; Tai, Xue-Cheng; Chan, Tony F.; Szlam, Arthur
16
2014
Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
30
2013
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
28
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
45
2012
Completely convex formulation of the Chan-Vese image segmentation model. Zbl 1254.68271
Brown, Ethan S.; Chan, Tony F.; Bresson, Xavier
36
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
24
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
12
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.
2
2012
Intrinsic feature extraction on hippocampal surfaces and its applications. Zbl 1246.92019
Wong, Tsz Wai; Lui, Lok Ming; Thompson, Paul M.; Chan, Tony F.
1
2012
Nonlocal Mumford-Shah regularizers for color image restoration. Zbl 1372.94124
Jung, Miyoun; Bresson, Xavier; Chan, Tony F.; Vese, Luminita A.
15
2011
Mumford and Shah model and its applications to image segmentation and image restoration. Zbl 1259.94009
Bar, Leah; Chan, Tony F.; Chung, Ginmo; Jung, Miyoun; Kiryati, Nahum; Mohieddine, Rami; Sochen, Nir; Vese, Luminita A.
11
2011
Numerical methods and applications in total variation image restoration. Zbl 1259.68218
Chan, Raymond; Chan, Tony; Yip, Andy
3
2011
A general framework for a class of first order primal-dual algorithms for convex optimization in imaging science. Zbl 1206.90117
Esser, Ernie; Zhang, Xiaoqun; Chan, Tony F.
189
2010
Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165
Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F.
39
2010
Wavelet inpainting by nonlocal total variation. Zbl 1185.42040
Zhang, Xiaoqun; Chan, Tony F.
26
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.
15
2010
Unsupervised multiphase segmentation: a phase balancing model. Zbl 1371.94325
Sandberg, Berta; Kang, Sung Ha; Chan, Tony F.
6
2010
Detection of shape deformities using Yamabe flow and Beltrami coefficients. Zbl 1203.53015
Lui, Lok Ming; Wong, Tsz Wai; Zeng, Wei; Gu, Xianfeng; Thompson, Paul M.; Chan, Tony F.; Yau, Shing Tung
4
2010
Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337
Bresson, Xavier; Chan, Tony F.
54
2008
Variational method on Riemann surfaces using conformal parameterization and its applications to image processing. Zbl 1185.68807
Lui, Lok Ming; Gu, Xianfeng; Chan, Tony F.; Yau, Shing-Tung
12
2008
Segmentation under occlusions using selective shape prior. Zbl 1207.94023
Thiruvenkadam, Sheshadri R.; Chan, Tony F.; Hong, Byung-Woo
4
2008
Iterative methods for solving the dual formulation arising from image restoration. Zbl 1178.68620
Chan, Tony F.; Chen, Ke; Carter, Jamylle L.
10
2007
Landmark constrained genus zero surface conformal mapping and its application to brain mapping research. Zbl 1111.92007
Lui, Lok Ming; Wang, Yalin; Chan, Tony F.; Thompson, Paul
10
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.
6
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
A variational model for capturing illusory contours using curvature. Zbl 1478.68414
Zhu, Wei; Chan, Tony
2
2007
Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002
Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila
197
2006
Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011
Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley
82
2006
An optimization-based multilevel algorithm for total variation image denoising. Zbl 1120.68108
Chan, Tony F.; Chen, Ke
22
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
On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation. Zbl 1096.94003
Chan, Tony F.; Chen, Ke
13
2006
Segmentation with depth: a level set approach. Zbl 1344.68266
Zhu, Wei; Chan, Tony; Esedoḡlu, Selim
12
2006
Total variation wavelet inpainting. Zbl 1478.94019
Chan, Tony F.; Shen, Jianhong; Zhou, Hao-Min
5
2006
Error analysis for image inpainting. Zbl 1478.94018
Chan, Tony F.; Kang, Sung Ha
3
2006
Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127
Chan, Tony F.; Shen, Jianhong (Jackie)
213
2005
Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004
Chan, Tony F.; Esedoglu, Selim
147
2005
Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143
Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng
54
2005
Variational image inpainting. Zbl 1067.68168
Chan, Tony F.; Shen, Jianhong
26
2005
Solving PDEs on manifolds with global conformal parametriazation. Zbl 1159.68597
Lui, Lok Ming; Wang, Yalin; Chan, Tony F.
8
2005
Stewart’s pivoted QLP decomposition for low-rank matrices. Zbl 1164.65372
Huckaby, D. A.; Chan, T. F.
4
2005
Structure-texture decomposition by a tV-Gabor model. Zbl 1159.68582
Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley
2
2005
Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Zbl 1036.65086
Chan, Tony F.; Tai, Xue-Cheng
72
2004
A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020
Tai, Xue-Cheng; Chan, Tony F.
22
2004
Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512
Strong, David; Chan, Tony
77
2003
Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei
67
2003
Identification of discontinuous coefficients in elliptic problems using total variation regularization. Zbl 1046.65090
Chan, Tony F.; Tai, Xue-Cheng
49
2003
Variational PDE models in image processing. Zbl 1168.94315
Chan, Tony F.; Shen, Jianhong; Vese, Luminita
31
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.
7
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
2
2003
A multiphase level set framework for image segmentation using the Mumford and Shah model. Zbl 1012.68782
Vese, Luminita A.; Chan, Tony F.
231
2002
Euler’s elastica and curvature-based inpainting. Zbl 1028.68185
Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong
142
2002
Mathematical models for local nontexture inpaintings. Zbl 1050.68157
Chan, Tony F.; Shen, Jianhong
105
2002
Modular solvers for image restoration problems using the discrepancy principle. Zbl 1071.68557
Blomgren, Peter; Chan, Tony F.
13
2002
Subspace correction multi-level methods for elliptic eigenvalue problems. Zbl 1071.65549
Chan, Tony F.; Sharapov, Ilya
11
2002
ENO-wavelet transforms for piecewise smooth functions. Zbl 1030.65147
Chan, Tony F.; Zhou, H. M.
11
2002
Active contour and segmentation models using geometric PDE’s for medical imaging. Zbl 1011.92032
Chan, T. F.; Vese, L. A.
6
2002
On two variants of an algebraic wavelet preconditioner. Zbl 1013.65040
Chan, Tony F.; Chen, Ke
4
2002
Inpainting based on nonlinear transport and diffusion. Zbl 1027.68139
Chan, Tony F.; Shen, Jianhong
3
2002
Multiscale and multiresolution methods. Theory and applications. Zbl 0976.00008
2
2002
Active contours without edges. Zbl 1039.68779
Chan, Tony F.; Vese, Luminita A.
498
2001
The digital TV filter and nonlinear denoising. Zbl 1039.68778
Chan, Tony F.; Osher, Stanley; Shen, Jianhong
41
2001
High-order total variation-based image restoration. Zbl 0968.68175
Chan, Tony; Marquina, Antonio; Mulet, Pep
217
2000
An energy-minimizing interpolation for robust multigrid methods. Zbl 0966.65098
Wan, W. L.; Chan, Tony F.; Smith, Barry
33
2000
Robust multigrid methods for nonsmooth coefficient elliptic linear systems. Zbl 0966.65099
Chan, Tony F.; Wan, W. L.
18
2000
Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001
Chan, Tony; Shen, Jianhong
16
2000
Variational PDE models and methods for image processing. Zbl 0953.68621
Blomgren, P.; Chan, T. F.; Mulet, P.; Vese, L.; Wan, W. L.
15
2000
Cosine transform preconditioners for high resolution image reconstruction. Zbl 0993.65056
Ng, Michael K.; Chan, Raymond H.; Chan, Tony F.; Yip, Andy M.
13
2000
ML(k)BiCGSTAB: A biCGSTAB variant based on multiple Lanczos starting vectors. Zbl 0959.65048
Yeung, Man-Chung; Chan, Tony F.
11
2000
Convergence of the alternating minimization algorithm for blind deconvolution. Zbl 0993.65149
Chan, Tony F.; Wong, C. K.
6
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
192
1999
Galerkin projection methods for solving multiple linear systems. Zbl 0954.65027
Chan, Tony F.; Ng, Michael K.
10
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
43
1998
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
27
1998
Multigrid for differential-convolution problems arising from image processing. Zbl 0922.65097
Chan, Raymond H.; Chan, Tony F.; Wan, W. L.
7
1998
Overlapping domain decomposition and multigrid methods for inverse problems. Zbl 0910.65103
Tai, Xue-Cheng; Frøyen, Johnny; Espedal, Magne S.; Chan, Tony F.
6
1998
Transpose-free formulations of Lanczos-type methods for nonsymmetric linear systems. Zbl 0907.65030
Chan, Tony F.; de Pillis, Lisette; van der Vorst, Henk
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.
44
1997
Approximate and incomplete factorizations. Zbl 0865.65015
Chan, Tony F.; van der Vorst, Henk A.
23
1997
Wavelet sparse approximate inverse preconditioners. Zbl 0891.65048
Chan, T. F.; Tang, W. P.; Wan, W. L.
20
1997
Linear system solvers: Sparse iterative methods. Zbl 0865.65014
van der Vorst, Henk A.; Chan, Tony F.
5
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
Probabilistic analysis of Gaussian elimination without pivoting. Zbl 0871.65019
Yeung, Man-Chung; 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
...and 85 more Documents
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
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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. English Series
12 Journal of Mathematical Sciences (New York)
12 Journal of Applied Mathematics
12 International Journal of Wavelets, Multiresolution and Information Processing
11 Nonlinear Analysis. Real World Applications
10 Computer Physics Communications
10 Computational Mechanics
10 Signal Processing
10 Physics of Fluids
10 Journal of Inequalities and Applications
9 Wave Motion
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Numerical Functional Analysis and Optimization
9 Theoretical Computer Science
9 Computer Aided Geometric Design
9 Applied Mathematics. Series B (English Edition)
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Journal of the Franklin Institute
8 Mathematical Methods in the Applied Sciences
8 Circuits, Systems, and Signal Processing
8 Applied Mathematics and Mechanics. (English Edition)
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 Optimization Methods & Software
8 Journal of Applied Mathematics and Computing
8 International Journal of Computational Methods
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. Electronic Transactions on Numerical Analysis
6 Combustion Theory and Modelling
6 Archives of Computational Methods in Engineering
6 Journal of Machine Learning Research (JMLR)
6 Boundary Value Problems
5 Physica D
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
...and 305 more Serials
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Cited in 49 Fields

2,849 Numerical analysis (65-XX)
1,095 Partial differential equations (35-XX)
971 Information and communication theory, circuits (94-XX)
855 Fluid mechanics (76-XX)
805 Computer science (68-XX)
416 Calculus of variations and optimal control; optimization (49-XX)
356 Operations research, mathematical programming (90-XX)
237 Biology and other natural sciences (92-XX)
174 Linear and multilinear algebra; matrix theory (15-XX)
171 Mechanics of deformable solids (74-XX)
158 Statistics (62-XX)
82 Optics, electromagnetic theory (78-XX)
79 Operator theory (47-XX)
65 Approximations and expansions (41-XX)
63 Harmonic analysis on Euclidean spaces (42-XX)
57 Geophysics (86-XX)
53 Systems theory; control (93-XX)
52 Probability theory and stochastic processes (60-XX)
50 Ordinary differential equations (34-XX)
49 Statistical mechanics, structure of matter (82-XX)
43 Differential geometry (53-XX)
41 Real functions (26-XX)
40 Classical thermodynamics, heat transfer (80-XX)
34 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
30 Integral equations (45-XX)
28 Combinatorics (05-XX)
23 Dynamical systems and ergodic theory (37-XX)
23 Functional analysis (46-XX)
23 Global analysis, analysis on manifolds (58-XX)
17 Quantum theory (81-XX)
15 Functions of a complex variable (30-XX)
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2 Difference and functional equations (39-XX)
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