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Chan, Tony Fan-Cheong

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: 162 Co-Authors with 198 Joint Publications
6,176 Co-Co-Authors
all top 5

Co-Authors

17 single-authored
14 Tai, Xuecheng
11 Shen, Jianhong
10 Lui, Lok Ming
8 Vese, Luminita A.
7 Chan, Raymond Hon-Fu
7 Hansen, Per Christian
7 Mathew, Tarek P. A.
7 Thompson, Paul M.
7 Wan, Wing Lok
6 Mulet, Pep
6 Osher, Stanley Joel
6 Zou, Jun
5 Bresson, Xavier
5 Golub, Gene Howard
5 Resasco, Diana C.
5 Smith, Barry F.
5 Tong, Charles H.
5 Van der Vorst, Henk Albertus
5 Yau, Shing-Tung
5 Zhu, Wei
4 Aujol, Jean-François
4 Bank, Randolph E.
4 Chen, Ke
4 Goovaerts, Danny
4 Shen, Longjun
4 Szeto, Tedd
4 Wang, Yalin
4 Wong, Tsz Wai
4 Yip, Andy M.
4 Zeng, Wei
4 Zhou, Hao-Min
3 Esedoglu, Selim
3 Gu, Xianfeng
3 Jackson, Kenneth R.
3 Jung, Miyoun
3 Kang, Sung Ha
3 Lee, Ding
3 Leung, Shingyu
3 Ng, Michael Kwok-Po
3 Saad, Yousef
3 Shao, Jianping
3 Wei, Ke
3 Yeung, Man-Chung
3 Zhang, Xiaoqun
2 Bar, Leah
2 Barth, Timothy J.
2 Blomgren, Peter
2 Cai, Jian-Feng
2 Chung, Ginmo Jason
2 Cong, Jason
2 Donato, June M.
2 Gilboa, Guy
2 Glowinski, Roland
2 Hou, Thomas Yizhao
2 Huckaby, David A.
2 Keyes, David Elliot
2 Kiryati, Nahum
2 LeVeque, Randall J.
2 Olkin, Julia A.
2 Périaux, Jacques F.
2 Sandberg, Berta
2 Shen, Lixin
2 Shen, Zuowei
2 Shinnerl, Joseph R.
2 Sochen, Nir
2 Strong, David M.
2 Sun, Jiachang
2 Szeto, W. K.
2 Tang, Wei-Pai
2 Thiruvenkadam, Sheshadri R.
2 Vassilevski, Panayot Spirov
2 Widlund, Olof B.
2 Xu, Jinchao
1 Barrett, Richard K.
1 Barszcz, Eric
1 Berry, Michael W.
1 Brown, Ethan S.
1 Carter, Jamylle L.
1 Chow, Edmond
1 Chung, Tsz Shun Eric
1 Ciarlet, Patrick jun.
1 Cooley, Donald W.
1 Coughran, William M. jun.
1 Demmel, James Weldon
1 Depillis, Lisette
1 Dongarra, Jack J.
1 E, Weinan
1 Eijkhout, Victor L.
1 Elman, Howard C.
1 Espedal, Magne S.
1 Esser, Ernie
1 Faugeras, Olivier D.
1 Foulser, David E.
1 Froyen, Johnny
1 Gallopoulos, Efstratios
1 Go, Susie
1 Gu, Xianfeng David
1 Gu, Xiangfeng
1 Haimes, Robert
1 Heimsund, Bjørn-Ove
...and 62 more Co-Authors
all top 5

Serials

22 SIAM Journal on Scientific and Statistical Computing
20 SIAM Journal on Scientific Computing
12 SIAM Journal on Numerical Analysis
9 Numerical Algorithms
7 SIAM Journal on Matrix Analysis and Applications
7 Inverse Problems and Imaging
5 Applied Numerical Mathematics
5 Linear Algebra and its Applications
5 SIAM Journal on Applied Mathematics
5 SIAM Journal on Imaging Sciences
4 Journal of Computational Physics
4 Journal of Scientific Computing
4 Journal of Mathematical Imaging and Vision
4 Numerical Linear Algebra with Applications
4 IEEE Transactions on Image Processing
3 Mathematics of Computation
3 ACM Transactions on Mathematical Software
3 BIT
3 Numerische Mathematik
3 International Journal of Computer Vision
2 Computers & Mathematics with Applications
2 Journal of Computational Mathematics
2 Notices of the American Mathematical Society
2 ETNA. Electronic Transactions on Numerical Analysis
2 Multiscale Modeling & Simulation
1 The American Statistician
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 Inverse Problems
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Journal of Computational and Applied Mathematics
1 Studies in Applied Mathematics
1 FGCS. Future Generation Computer Systems
1 IEEE Transactions on Signal Processing
1 International Journal of High Speed Computing
1 Communications of the ACM
1 SIAM Review
1 Computational Optimization and Applications
1 Applied and Computational Harmonic Analysis
1 Methods and Applications of Analysis
1 The Asian Journal of Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 International Journal of Numerical Analysis and Modeling
1 Lecture Notes in Computer Science
1 Series on Applied Mathematics
1 Lecture Notes in Computational Science and Engineering
1 Annals of Mathematical Sciences and Applications
1 Mathematics and Visualization

Publications by Year

Citations contained in zbMATH Open

186 Publications have been cited 7,122 times in 5,029 Documents Cited by Year
Weighted essentially non-oscillatory schemes. Zbl 0811.65076
Liu, Xu-Dong; Osher, Stanley; Chan, Tony
1994
Active contours without edges. Zbl 1039.68779
Chan, Tony F.; Vese, Luminita A.
553
2001
A multiphase level set framework for image segmentation using the Mumford and Shah model. Zbl 1012.68782
Vese, Luminita A.; Chan, Tony F.
259
2002
Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127
Chan, Tony F.; Shen, Jianhong (Jackie)
251
2005
High-order total variation-based image restoration. Zbl 0968.68175
Chan, Tony; Marquina, Antonio; Mulet, Pep
247
2000
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.
225
2010
A variational level set approach to multiphase motion. Zbl 0860.65050
Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S.
216
1996
Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002
Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila
215
2006
An optimal circulant preconditioner for Toeplitz systems. Zbl 0646.65042
Chan, Tony F.
212
1988
A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118
Chan, Tony F.; Golub, Gene H.; Mulet, Pep
211
1999
Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004
Chan, Tony F.; Esedoglu, Selim
163
2005
Domain decomposition algorithms. Zbl 0809.65112
Chan, Tony F.; Mathew, Tarek P.
158
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
155
1993
Euler’s elastica and curvature-based inpainting. Zbl 1028.68185
Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong
153
2002
Mathematical models for local nontexture inpaintings. Zbl 1050.68157
Chan, Tony F.; Shen, Jianhong
124
2002
Rang revealing QR factorizations. Zbl 0624.65025
Chan, Tony F.
110
1987
Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512
Strong, David; Chan, Tony
93
2003
Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011
Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley
89
2006
Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Zbl 1036.65086
Chan, Tony F.; Tai, Xue-Cheng
78
2004
Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei
69
2003
Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337
Bresson, Xavier; Chan, Tony F.
59
2008
Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143
Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng
58
2005
Identification of discontinuous coefficients in elliptic problems using total variation regularization. Zbl 1046.65090
Chan, Tony F.; Tai, Xue-Cheng
53
2003
Effectively well-conditioned linear systems. Zbl 0664.65041
Chan, Tony F.; Foulser, David E.
50
1988
On the convergence of the lagged diffusivity fixed point method in total variation image restoration. Zbl 0923.65037
Chan, Tony F.; Mulet, Pep
49
1998
The digital TV filter and nonlinear denoising. Zbl 1039.68778
Chan, Tony F.; Osher, Stanley; Shen, Jianhong
49
2001
Image denoising using mean curvature of image surface. Zbl 1258.94021
Zhu, Wei; Chan, Tony
49
2012
Analysis of projection methods for solving linear systems with multiple right-hand sides. Zbl 0888.65033
Chan, Tony F.; Wan, W. L.
47
1997
Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
45
2016
Arc-length continuation and multi-grid techniques for nonlinear elliptic eigenvalue problems. Zbl 0497.65028
Chan, Tony F. C.; Keller, H. B.
45
1982
Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165
Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F.
42
2010
Some applications of the rank revealing QR factorization. Zbl 0756.65032
Chan, Tony F.; Hansen, Per Christian
40
1992
Completely convex formulation of the Chan-Vese image segmentation model. Zbl 1254.68271
Brown, Ethan S.; Chan, Tony F.; Bresson, Xavier
38
2012
Total variation wavelet inpainting. Zbl 1478.94019
Chan, Tony F.; Shen, Jianhong; Zhou, Hao-Min
38
2006
An improved algorithm for computing the singular value decomposition. Zbl 0477.65032
Chan, Tony F.
37
1982
An energy-minimizing interpolation for robust multigrid methods. Zbl 0966.65098
Wan, W. L.; Chan, Tony F.; Smith, Barry
37
2000
Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
37
2013
Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms. Zbl 0574.65043
Chan, Tony F.; Jackson, Kenneth R.
35
1984
A quasi-minimal residual variant of the Bi-CGSTAB algorithm for nonsymmetric systems. Zbl 0803.65038
Chan, T. F.; Gallopoulos, E.; Simoncini, V.; Szeto, T.; Tong, C. H.
35
1994
Variational PDE models in image processing. Zbl 1168.94315
Chan, Tony F.; Shen, Jianhong; Vese, Luminita
33
2003
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
32
1998
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
32
2013
Variational image inpainting. Zbl 1067.68168
Chan, Tony F.; Shen, Jianhong
31
2005
Analysis of preconditioners for domain decomposition. Zbl 0625.65100
Chan, Tony F.
30
1987
Fourier methods with extended stability intervals for the Korteweg-de Vries equation. Zbl 0571.65082
Chan, Tony F.; Kerkhoven, Tom
29
1985
PLTMGC: A multi-grid continuation program for parameterized nonlinear elliptic systems. Zbl 0589.65074
Bank, Randolph E.; Chan, Tony F.
28
1986
Fourier analysis of iterative methods for elliptic problems. Zbl 0684.65092
Chan, Tony F.; Elman, Howard C.
27
1989
Stability analysis of difference schemes for variable coefficient Schrödinger type equations. Zbl 0646.65089
Chan, Tony F.; Shen, Longjun
27
1987
Stability analysis of finite difference schemes for the advection- diffusion equation. Zbl 0553.65059
Chan, Tony F.
26
1984
Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098
Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J.
26
1983
Circulant preconditioners for Toeplitz-block matrices. Zbl 0793.65020
Chan, Tony F.; Olkin, Julia A.
26
1994
Optimization of surface registrations using Beltrami holomorphic flow. Zbl 1244.65096
Lui, Lok Ming; Wong, Tsz Wai; Zeng, Wei; Gu, Xianfeng; Thompson, Paul M.; Chan, Tony F.; Yau, Shing-Tung
26
2012
A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020
Tai, Xue-Cheng; Chan, Tony F.
25
2004
Approximate and incomplete factorizations. Zbl 0865.65015
Chan, Tony F.; van der Vorst, Henk A.
24
1997
An optimization-based multilevel algorithm for total variation image denoising. Zbl 1120.68108
Chan, Tony F.; Chen, Ke
24
2006
An analysis of the composite step biconjugate gradient method. Zbl 0802.65038
Bank, Randolph E.; Chan, Tony F.
23
1993
Scale recognition, regularization parameter selection, and Meyer’s \(G\) norm in total variation regularization. Zbl 1161.68830
Strong, David M.; Aujol, Jean-François; Chan, Tony F.
23
2006
Wavelet inpainting by nonlocal total variation. Zbl 1185.42040
Zhang, Xiaoqun; Chan, Tony F.
23
2010
Deflation techniques and block-elimination algorithms for solving bordered singular systems. Zbl 0536.65028
Chan, Tony F.
21
1984
Overlapping Schwarz methods on unstructured meshes using non-matching coarse grids. Zbl 0879.65082
Chan, Tony F.; Smith, Barry F.; Zou, Jun
21
1996
Large amplitude internal waves of permanent form. Zbl 0484.76034
Tung, Ka-Kit; Chan, Tony F.; Kubota, Toshi
20
1982
Wavelet sparse approximate inverse preconditioners. Zbl 0891.65048
Chan, T. F.; Tang, W. P.; Wan, W. L.
20
1997
A look-ahead Levinson algorithm for general Toeplitz systems. Zbl 0756.65044
Chan, Tony F.; Hansen, Per C.
20
1992
Nonlocal Mumford-Shah regularizers for color image restoration. Zbl 1372.94124
Jung, Miyoun; Bresson, Xavier; Chan, Tony F.; Vese, Luminita A.
19
2011
Robust multigrid methods for nonsmooth coefficient elliptic linear systems. Zbl 0966.65099
Chan, Tony F.; Wan, W. L.
19
2000
Multi-class transductive learning based on \(\ell^1\) relaxations of Cheeger cut and Mumford-Shah-Potts model. Zbl 1366.68230
Bresson, Xavier; Tai, Xue-Cheng; Chan, Tony F.; Szlam, Arthur
18
2014
A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0809.65025
Bank, Randolph E.; Chan, Tony F.
18
1994
Generalized deflated block-elimination. Zbl 0624.65024
Chan, Tony F.; Resasco, Diana C.
18
1986
Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001
Chan, Tony; Shen, Jianhong
17
2000
Optimized conformal surface registration with shape-based landmark matching. Zbl 1186.49030
Lui, Lok Ming; Thiruvenkadam, Sheshadri; Wang, Yalin; Thompson, Paul M.; Chan, Tony F.
17
2010
Variational PDE models and methods for image processing. Zbl 0953.68621
Blomgren, P.; Chan, T. F.; Mulet, P.; Vese, L.; Wan, W. L.
17
2000
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.
16
1989
Geometry related convergence results for domain decomposition algorithms. Zbl 0724.65109
Chan, Tony F.; Hou, Thomas Y.; Lions, P. L.
16
1991
The interface probing technique in domain decomposition. Zbl 0754.65099
Chan, Tony F. C.; Mathew, Tarek P.
16
1992
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
15
1990
A look-ahead Levinson algorithm for indefinite Toeplitz systems. Zbl 0752.65020
Chan, Tony F.; Hansen, Per Christian
15
1992
Deflated decomposition of solutions of nearly singular systems. Zbl 0572.65012
Chan, Tony F.
14
1984
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.
14
1986
Stable explicit schemes for equations of the Schrödinger type. Zbl 0618.65078
Chan, Tony F.; Lee, Ding; Shen, Longjun
14
1986
Domain decomposition methods. Proceedings of the 2nd international symposium, held at the University of California, Los Angeles, January 14- 16, 1988. Zbl 0675.00021
14
1989
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
Segmentation with depth: a level set approach. Zbl 1344.68266
Zhu, Wei; Chan, Tony; Esedoḡlu, Selim
13
2006
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
Computing quasiconformal maps using an auxiliary metric and discrete curvature flow. Zbl 1246.30037
Zeng, Wei; Lui, Lok Ming; Luo, Feng; Chan, Tony Fan-Cheong; Yau, Shing-Tung; Gu, David Xianfeng
13
2012
Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations. Zbl 0699.65030
Chan, Tony F.; Hansen, Per Christian
12
1990
Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071
Chan, T. F.; Golub, Gene H.; LeVeque, Randall J.
12
1982
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
Galerkin projection methods for solving multiple linear systems. Zbl 0954.65027
Chan, Tony F.; Ng, Michael K.
12
1999
Subspace correction multi-level methods for elliptic eigenvalue problems. Zbl 1071.65549
Chan, Tony F.; Sharapov, Ilya
12
2002
Low-rank revealing QR factorizations. Zbl 0804.65027
Chan, Tony F.
11
1994
Newton-like pseudo-arclength methods for computing simple turning points. Zbl 0536.65029
Chan, Tony F.
11
1984
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
ML(k)BiCGSTAB: A biCGSTAB variant based on multiple Lanczos starting vectors. Zbl 0959.65048
Yeung, Man-Chung; Chan, Tony F.
11
2000
ENO-wavelet transforms for piecewise smooth functions. Zbl 1030.65147
Chan, Tony F.; Zhou, H. M.
11
2002
Error analysis for image inpainting. Zbl 1478.94018
Chan, Tony F.; Kang, Sung Ha
11
2006
Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes. Zbl 0815.65127
Chan, Tony F.; Zou, Jun
11
1994
Iterative methods for solving the dual formulation arising from image restoration. Zbl 1178.68620
Chan, Tony F.; Chen, Ke; Carter, Jamylle L.
10
2007
Guarantees of Riemannian optimization for low rank matrix completion. Zbl 1439.65059
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
6
2020
New region force for variational models in image segmentation and high dimensional data clustering. Zbl 1387.62080
Wei, Ke; Yin, Ke; Tai, Xue-Cheng; Chan, Tony F.
4
2018
A level set based variational principal flow method for nonparametric dimension reduction on Riemannian manifolds. Zbl 1379.65041
Liu, Hao; Yao, Zhigang; Leung, Shingyu; Chan, Tony F.
3
2017
Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
45
2016
Mumford and Shah model and its applications to image segmentation and image restoration. 2nd edition. Zbl 1331.94011
Bar, Leah; Chan, Tony F.; Chung, Ginmo; Jung, Miyoun; Vese, Luminita A.; Kiryati, Nahum; Sochen, Nir
4
2015
Numerical methods and applications in total variation image restoration. 2nd edition. Zbl 1331.68265
Chan, Raymond; Chan, Tony F.; Yip, Andy
1
2015
Multi-class transductive learning based on \(\ell^1\) relaxations of Cheeger cut and Mumford-Shah-Potts model. Zbl 1366.68230
Bresson, Xavier; Tai, Xue-Cheng; Chan, Tony F.; Szlam, Arthur
18
2014
Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
37
2013
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
32
2013
A ridge and corner preserving model for surface restoration. Zbl 1266.49080
Lai, Rongjie; Tai, Xue-Cheng; Chan, Tony F.
5
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
Image denoising using mean curvature of image surface. Zbl 1258.94021
Zhu, Wei; Chan, Tony
49
2012
Completely convex formulation of the Chan-Vese image segmentation model. Zbl 1254.68271
Brown, Ethan S.; Chan, Tony F.; Bresson, Xavier
38
2012
Optimization of surface registrations using Beltrami holomorphic flow. Zbl 1244.65096
Lui, Lok Ming; Wong, Tsz Wai; Zeng, Wei; Gu, Xianfeng; Thompson, Paul M.; Chan, Tony F.; Yau, Shing-Tung
26
2012
Computing quasiconformal maps using an auxiliary metric and discrete curvature flow. Zbl 1246.30037
Zeng, Wei; Lui, Lok Ming; Luo, Feng; Chan, Tony Fan-Cheong; Yau, Shing-Tung; Gu, David Xianfeng
13
2012
A multiphase logic framework for multichannel image segmentation. Zbl 1235.68311
Keegan, Matthew S.; Sandberg, Berta; Chan, Tony F.
3
2012
A novel sparsity reconstruction method from Poisson data for 3D bioluminescence tomography. Zbl 1251.92028
Zhang, Xiaoqun; Lu, Yujie; Chan, Tony
3
2012
Intrinsic feature extraction on hippocampal surfaces and its applications. Zbl 1246.92019
Wong, Tsz Wai; Lui, Lok Ming; Thompson, Paul M.; Chan, Tony F.
1
2012
Nonlocal Mumford-Shah regularizers for color image restoration. Zbl 1372.94124
Jung, Miyoun; Bresson, Xavier; Chan, Tony F.; Vese, Luminita A.
19
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.
225
2010
Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165
Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F.
42
2010
Wavelet inpainting by nonlocal total variation. Zbl 1185.42040
Zhang, Xiaoqun; Chan, Tony F.
23
2010
Optimized conformal surface registration with shape-based landmark matching. Zbl 1186.49030
Lui, Lok Ming; Thiruvenkadam, Sheshadri; Wang, Yalin; Thompson, Paul M.; Chan, Tony F.
17
2010
Unsupervised multiphase segmentation: a phase balancing model. Zbl 1371.94325
Sandberg, Berta; Kang, Sung Ha; Chan, Tony F.
6
2010
Detection of shape deformities using Yamabe flow and Beltrami coefficients. Zbl 1203.53015
Lui, Lok Ming; Wong, Tsz Wai; Zeng, Wei; Gu, Xianfeng; Thompson, Paul M.; Chan, Tony F.; Yau, Shing Tung
6
2010
Fast dual minimization of the vectorial total variation norm and applications to color image processing. Zbl 1188.68337
Bresson, Xavier; Chan, Tony F.
59
2008
Variational method on Riemann surfaces using conformal parameterization and its applications to image processing. Zbl 1185.68807
Lui, Lok Ming; Gu, Xianfeng; Chan, Tony F.; Yau, Shing-Tung
12
2008
Segmentation under occlusions using selective shape prior. Zbl 1207.94023
Thiruvenkadam, Sheshadri R.; Chan, Tony F.; Hong, Byung-Woo
4
2008
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
A variational model for capturing illusory contours using curvature. Zbl 1478.68414
Zhu, Wei; Chan, Tony
9
2007
Total variation wavelet thresholding. Zbl 1125.65124
Chan, Tony F.; Zhou, Hao-Min
8
2007
Superresolution image reconstruction using fast inpainting algorithms. Zbl 1116.94002
Chan, Tony F.; Ng, Michael K.; Yau, Andy C.; Yip, Andy M.
7
2007
Brain anatomical feature detection by solving partial differential equations on general manifolds. Zbl 1123.92005
Lui, Lok Ming; Wang, Yalin; Chan, Tony F.; Thompson, Paul M.
2
2007
Image processing based on partial differential equations. Proceedings of the international conference on PDE-based image processing and related inverse problems, CMA, Oslo, Norway, August 8–12, 2005. Zbl 1107.68518
2
2007
Algorithms for finding global minimizers of image segmentation and denoising models. Zbl 1117.94002
Chan, Tony F.; Esedoḡlu, Selim; Nikolova, Mila
215
2006
Structure-texture image decomposition – modeling, algorithms, and parameter selection. Zbl 1287.94011
Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley
89
2006
Total variation wavelet inpainting. Zbl 1478.94019
Chan, Tony F.; Shen, Jianhong; Zhou, Hao-Min
38
2006
An optimization-based multilevel algorithm for total variation image denoising. Zbl 1120.68108
Chan, Tony F.; Chen, Ke
24
2006
Scale recognition, regularization parameter selection, and Meyer’s \(G\) norm in total variation regularization. Zbl 1161.68830
Strong, David M.; Aujol, Jean-François; Chan, Tony F.
23
2006
Segmentation with depth: a level set approach. Zbl 1344.68266
Zhu, Wei; Chan, Tony; Esedoḡlu, Selim
13
2006
On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation. Zbl 1096.94003
Chan, Tony F.; Chen, Ke
13
2006
Error analysis for image inpainting. Zbl 1478.94018
Chan, Tony F.; Kang, Sung Ha
11
2006
Image processing and analysis. Variational, PDE, wavelet, and stochastic methods. Zbl 1095.68127
Chan, Tony F.; Shen, Jianhong (Jackie)
251
2005
Aspects of Total variation regularized \(L^1\) function approximation. Zbl 1096.94004
Chan, Tony F.; Esedoglu, Selim
163
2005
Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143
Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng
58
2005
Variational image inpainting. Zbl 1067.68168
Chan, Tony F.; Shen, Jianhong
31
2005
Solving PDEs on manifolds with global conformal parametriazation. Zbl 1159.68597
Lui, Lok Ming; Wang, Yalin; Chan, Tony F.
8
2005
Stewart’s pivoted QLP decomposition for low-rank matrices. Zbl 1164.65372
Huckaby, D. A.; Chan, T. F.
4
2005
Structure-texture decomposition by a tV-Gabor model. Zbl 1159.68582
Aujol, Jean-François; Gilboa, Guy; Chan, Tony; Osher, Stanley
2
2005
Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Zbl 1036.65086
Chan, Tony F.; Tai, Xue-Cheng
78
2004
A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020
Tai, Xue-Cheng; Chan, Tony F.
25
2004
Edge-preserving and scale-dependent properties of total variation regularization. Zbl 1043.94512
Strong, David; Chan, Tony
93
2003
Wavelet algorithms for high-resolution image reconstruction. Zbl 1031.68127
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei
69
2003
Identification of discontinuous coefficients in elliptic problems using total variation regularization. Zbl 1046.65090
Chan, Tony F.; Tai, Xue-Cheng
53
2003
Variational PDE models in image processing. Zbl 1168.94315
Chan, Tony F.; Shen, Jianhong; Vese, Luminita
33
2003
On the convergence of Stewart’s QLP algorithm for approximating the SVD. Zbl 1035.65034
Huckaby, David A.; Chan, Tony F.
9
2003
On the role of the BV image model in image restoration. Zbl 1035.94501
Chan, Tony F.; Shen, Jianhong
7
2003
Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction. Zbl 1025.65064
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei
7
2003
A phase error analysis of multigrid methods for hyperbolic equations. Zbl 1049.65094
Wan, W. L.; Chan, Tony F.
4
2003
Level set methods for a parameter identification problem. Zbl 1029.35225
Heimsund, Bjørn-Ove; Chan, Tony; Nilssen, Trygve K.; Tai, Xue-Cheng
3
2003
A multiphase level set framework for image segmentation using the Mumford and Shah model. Zbl 1012.68782
Vese, Luminita A.; Chan, Tony F.
259
2002
Euler’s elastica and curvature-based inpainting. Zbl 1028.68185
Chan, Tony F.; Kang, Sung Ha; Shen, Jianhong
153
2002
Mathematical models for local nontexture inpaintings. Zbl 1050.68157
Chan, Tony F.; Shen, Jianhong
124
2002
Modular solvers for image restoration problems using the discrepancy principle. Zbl 1071.68557
Blomgren, Peter; Chan, Tony F.
13
2002
Subspace correction multi-level methods for elliptic eigenvalue problems. Zbl 1071.65549
Chan, Tony F.; Sharapov, Ilya
12
2002
ENO-wavelet transforms for piecewise smooth functions. Zbl 1030.65147
Chan, Tony F.; Zhou, H. M.
11
2002
Multiscale and multiresolution methods. Theory and applications. Zbl 0976.00008
9
2002
Active contour and segmentation models using geometric PDE’s for medical imaging. Zbl 1011.92032
Chan, T. F.; Vese, L. A.
7
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
4
2002
Active contours without edges. Zbl 1039.68779
Chan, Tony F.; Vese, Luminita A.
553
2001
The digital TV filter and nonlinear denoising. Zbl 1039.68778
Chan, Tony F.; Osher, Stanley; Shen, Jianhong
49
2001
High-order total variation-based image restoration. Zbl 0968.68175
Chan, Tony; Marquina, Antonio; Mulet, Pep
247
2000
An energy-minimizing interpolation for robust multigrid methods. Zbl 0966.65098
Wan, W. L.; Chan, Tony F.; Smith, Barry
37
2000
Robust multigrid methods for nonsmooth coefficient elliptic linear systems. Zbl 0966.65099
Chan, Tony F.; Wan, W. L.
19
2000
Variational restoration of nonflat image features: Models and algorithms. Zbl 1011.94001
Chan, Tony; Shen, Jianhong
17
2000
Variational PDE models and methods for image processing. Zbl 0953.68621
Blomgren, P.; Chan, T. F.; Mulet, P.; Vese, L.; Wan, W. L.
17
2000
Cosine transform preconditioners for high resolution image reconstruction. Zbl 0993.65056
Ng, Michael K.; Chan, Raymond H.; Chan, Tony F.; Yip, Andy M.
13
2000
ML(k)BiCGSTAB: A biCGSTAB variant based on multiple Lanczos starting vectors. Zbl 0959.65048
Yeung, Man-Chung; Chan, Tony F.
11
2000
Convergence of the alternating minimization algorithm for blind deconvolution. Zbl 0993.65149
Chan, Tony F.; Wong, C. K.
7
2000
Detection of strong coupling in algebraic multigrid solvers. Zbl 0972.65106
Chan, Tony F.; Vanek, Petr
4
2000
A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118
Chan, Tony F.; Golub, Gene H.; Mulet, Pep
211
1999
Galerkin projection methods for solving multiple linear systems. Zbl 0954.65027
Chan, Tony F.; Ng, Michael K.
12
1999
Boundary treatments for multilevel methods on unstructured meshes. Zbl 0947.65131
Chan, Tony F.; Go, Susie; Zou, Jun
3
1999
Preserving symmetry in preconditioned Krylov subspace methods. Zbl 0928.65042
Chan, T. F.; Chow, E.; Saad, Y.; Yeung, M. C.
2
1999
On the convergence of the lagged diffusivity fixed point method in total variation image restoration. Zbl 0923.65037
Chan, Tony F.; Mulet, Pep
49
1998
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
32
1998
Multigrid for differential-convolution problems arising from image processing. Zbl 0922.65097
Chan, Raymond H.; Chan, Tony F.; Wan, W. L.
7
1998
Overlapping domain decomposition and multigrid methods for inverse problems. Zbl 0910.65103
Tai, Xue-Cheng; Frøyen, Johnny; Espedal, Magne S.; Chan, Tony F.
6
1998
Transpose-free formulations of Lanczos-type methods for nonsymmetric linear systems. Zbl 0907.65030
Chan, Tony F.; de Pillis, Lisette; van der Vorst, Henk
6
1998
A parallel non-overlapping domain-decomposition algorithm for compressible fluid flow problems on triangulated domains. Zbl 0921.76119
Barth, Timothy J.; Chan, Tony F.; Tang, Wei-Pai
1
1998
Analysis of projection methods for solving linear systems with multiple right-hand sides. Zbl 0888.65033
Chan, Tony F.; Wan, W. L.
47
1997
Approximate and incomplete factorizations. Zbl 0865.65015
Chan, Tony F.; van der Vorst, Henk A.
24
1997
Wavelet sparse approximate inverse preconditioners. Zbl 0891.65048
Chan, T. F.; Tang, W. P.; Wan, W. L.
20
1997
On the optimality of the median cut spectral bisection graph partitioning method. Zbl 0872.65056
Chan, Tony F.; Ciarlet, P. jun.; Szeto, W. K.
7
1997
Linear system solvers: Sparse iterative methods. Zbl 0865.65014
van der Vorst, Henk A.; Chan, Tony F.
6
1997
Probabilistic analysis of Gaussian elimination without pivoting. Zbl 0871.65019
Yeung, Man-Chung; Chan, Tony F.
4
1997
...and 86 more Documents
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Cited by 7,564 Authors

84 Shu, Chi-Wang
59 Qiu, Jianxian
59 Tai, Xuecheng
48 Chen, Ke
48 Zhu, Jun
41 Chan, Tony Fan-Cheong
41 Ng, Michael Kwok-Po
40 Huang, Ting-Zhu
36 Chan, Raymond Hon-Fu
36 Osher, Stanley Joel
30 Shen, Zuowei
30 Zeng, Tie Yong
28 Jin, Xiaoqing
28 Wu, Boying
27 Schönlieb, Carola-Bibiane
27 Serra-Capizzano, Stefano
24 Guo, Zhichang
21 Cai, Jian-Feng
21 Dong, Bin
21 Lui, Lok Ming
21 Lv, Xiaoguang
20 Burger, Martin
20 Shen, Lixin
20 Wang, Hong
20 Xu, Kun
20 Zhang, Xiaoqun
19 Fu, Lin
19 Mulet, Pep
19 Reichel, Lothar
19 Wei, Yimin
18 Li, Zi-Cai
18 Xu, Jinchao
17 Amat Plata, Sergio
17 Li, Fang
17 Qian, Jianliang
17 Yuan, Xiaoming
16 Chien, Cheng-Sheng
16 Hintermüller, Michael
16 Leung, Shingyu
16 Pang, Zhifeng
16 Xiao, Feng
16 Zhao, Xile
15 Aràndiga, Francesc
15 Hansen, Per Christian
15 Huang, Hung-Tsai
15 Kang, Myungjoo
15 Pan, Liang
15 Schnörr, Christoph
15 Wu, Chunlin
15 Zhu, Wei
14 Abedian, Rooholah
14 Adams, Nikolaus A.
14 Cremers, Daniel
14 Glowinski, Roland
14 Liu, Jun
14 Morigi, Serena
14 Valkonen, Tuomo
14 Vese, Luminita A.
14 Xu, Yuesheng
13 Bertozzi, Andrea Louise
13 Bürger, Raimund
13 Chang, Huibin
13 Duan, Yuping
13 He, Chuanjiang
13 Steidl, Gabriele
13 Weickert, Joachim
13 Zhang, Shuhai
12 Dehghan Takht Fooladi, Mehdi
12 Ha, Youngsoo
12 Huang, Chieh-Sen
12 Jung, Miyoun
12 Lellmann, Jan
12 Liu, Xinwu
12 Ni, Guoxi
12 Quarteroni, Alfio M.
12 Shen, Yiqing
12 Shi, Yuying
12 Shu, Shi
11 Chambolle, Antonin
11 Ji, Hui
11 Lanza, Alessandro
11 Lou, Yifei
11 Ruuth, Steven J.
11 Scherzer, Otmar
11 Sgallari, Fiorella
11 Sun, Jiebao
11 Toro, Eleuterio Francisco
11 Zhang, Yongtao
11 Zou, Jun
10 Arbogast, Todd
10 Aujol, Jean-François
10 Bae, Egil
10 Chen, Bo
10 Deng, Xi
10 Don, Wai Sun
10 Dong, Yiqiu
10 Fuchs, Martin
10 Kang, Sung Ha
10 Laurain, Antoine
10 Le Guyader, Carole
...and 7,464 more Authors
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Cited in 432 Serials

602 Journal of Computational Physics
294 Journal of Scientific Computing
223 Journal of Computational and Applied Mathematics
200 Journal of Mathematical Imaging and Vision
149 Computers & Mathematics with Applications
143 Computers and Fluids
140 Applied Mathematics and Computation
134 SIAM Journal on Imaging Sciences
127 Linear Algebra and its Applications
115 Applied Numerical Mathematics
103 SIAM Journal on Scientific Computing
95 Computer Methods in Applied Mechanics and Engineering
87 Numerical Algorithms
84 Inverse Problems and Imaging
67 International Journal of Computer Mathematics
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49 Advances in Computational Mathematics
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45 Mathematics of Computation
43 Communications in Computational Physics
42 BIT
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39 Pattern Recognition
37 Computer Physics Communications
35 Computational & Mathematical Methods in Medicine
32 Computational Optimization and Applications
31 Computational and Applied Mathematics
30 Journal of Fluid Mechanics
27 Inverse Problems in Science and Engineering
26 Mathematics and Computers in Simulation
26 East Asian Journal on Applied Mathematics
25 Calcolo
25 International Journal of Computational Fluid Dynamics
23 Computing
23 Computing and Visualization in Science
23 Advances in Applied Mathematics and Mechanics
22 Numerical Methods for Partial Differential Equations
22 Engineering Analysis with Boundary Elements
21 International Journal for Numerical Methods in Fluids
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20 Journal of Mathematical Analysis and Applications
20 SIAM Journal on Matrix Analysis and Applications
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19 SIAM Journal on Numerical Analysis
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15 Applicable Analysis
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14 Communications in Nonlinear Science and Numerical Simulation
13 SIAM Journal on Optimization
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13 Foundations of Computational Mathematics
12 Acta Mathematicae Applicatae Sinica. English Series
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12 International Journal of Wavelets, Multiresolution and Information Processing
11 Mathematical Methods in the Applied Sciences
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10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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8 Physica D
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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 Acta Numerica
8 GAMM-Mitteilungen
8 Journal of the Operations Research Society of China
7 Journal of Approximation Theory
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7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
7 Advances in Difference Equations
...and 332 more Serials
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