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Author ID: tai.xuecheng Recent zbMATH articles by "Tai, Xuecheng"
Published as: Tai, Xue-Cheng; Tai, Xuecheng; Tai, X.-C.; Tai, Xue-cheng; Tai, Xue Cheng; Tai, Xue-Chenq; Tai, X. C.; Tai, X-C
Homepage: https://www.norceresearch.no/en/persons/xue-cheng-tai/36095434
External Links: MGP · ORCID · Google Scholar
all top 5

Co-Authors

11 single-authored
14 Chan, Tony Fan-Cheong
11 Yuan, Jing
10 Bae, Egil
9 Glowinski, Roland
9 Luo, Shousheng
9 Lysaker, Marius
9 Wu, Chunlin
8 Espedal, Magne S.
8 Neittaanmäki, Pekka J.
7 Chang, Huibin
7 Duan, Yuping
6 Kimmel, Ron
6 Liu, Jun
6 Wang, Lilian
5 Hahn, Jooyoung
5 Li, Hongwei
5 Nilssen, Trygve K.
5 Rahman, Talal
5 Winther, Ragnar
5 Yin, Ke
5 Zhu, Wei
4 Aanonsen, Sigurd Ivar
4 Heimsund, Bjørn-Ove
4 Li, Lingfeng
4 Lie, Johan
4 Lin, Ping
4 Sun, Hongpeng
4 Wang, Yang
4 Wu, Bin
4 Yang, Jiang
3 Huang, Haiyang
3 Liu, Hao
3 Nielsen, Lars Kristian
3 Wei, Suhua
3 Yan, Shi
2 Bertozzi, Andrea Louise
2 Borok, Sofia
2 Bresson, Xavier
2 Bruckstein, Alfred Marcel
2 Chan, Raymond Hon-Fu
2 Chang, Qianshun
2 Chen, Ke
2 De Cezaro, Adriano
2 Deng, Liangjian
2 Duan, Jinming
2 Fenster, Aaron
2 Gu, Ying
2 Han, Shoudong
2 Jia, Fan
2 Leitão, Antonio
2 Lie, Knut-Andreas
2 Liu, Haiguang
2 Liu, Zhifang
2 Lui, Lok Ming
2 Mannseth, Trond
2 Osher, Stanley Joel
2 Rosman, Guy
2 Shi, Juan
2 Shi, Yuying
2 Song, Jinping
2 Tao, Wenbing
2 Wang, Junping
2 Xu, Jinchao
2 Yang, Danping
2 Zhang, Juyong
1 Badea, Lori
1 Bai, Yiguang
1 Boyd, Zachary M.
1 Boykov, Yuri
1 Cai, Jian-Feng
1 Chan, Hei Long
1 Chen, Falai
1 Chen, Huazhu
1 Chen, Jinfeng
1 Christiansen, Oddvar
1 Chung, Tsz Shun Eric
1 Chung, Ginmo Jason
1 Dascal, Lorina
1 Deng, Jiansong
1 Feng, Xiangchu
1 Froyen, Johnny
1 Gao, Ran
1 Gao, Yiming
1 Garvin, Greg
1 Gurholt, Tiril P.
1 He, Xuan
1 Hou, Thomas Yizhao
1 Hu, Qiya
1 Huan, Zhongdan
1 Ierotheou, Constantinos S.
1 Jia, Lei
1 Kang, Sung Ha
1 Kärkkäinen, Tommi
1 Karlsen, Kenneth Hvistendahl
1 Kong, Dexing
1 Kunisch, Karl
1 Lai, Choi-Hong
1 Lai, Rongjie
1 Li, Chunming
1 Li, Xue
...and 64 more Co-Authors
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Serials

13 Inverse Problems and Imaging
11 Journal of Scientific Computing
8 IEEE Transactions on Image Processing
8 International Journal of Numerical Analysis and Modeling
7 SIAM Journal on Numerical Analysis
7 Journal of Mathematical Imaging and Vision
7 SIAM Journal on Scientific Computing
7 SIAM Journal on Imaging Sciences
7 Numerical Mathematics: Theory, Methods and Applications
4 Mathematics of Computation
4 Journal of Computational Mathematics
4 International Journal of Computer Vision
3 Numerical Methods for Partial Differential Equations
3 Advances in Computational Mathematics
3 Communications in Computational Physics
2 Inverse Problems
2 Journal of Computational Physics
2 Numerische Mathematik
2 Numerical Algorithms
2 Applied Mathematical Modelling
2 Methods and Applications of Analysis
2 Computing and Visualization in Science
2 Computational Geosciences
2 Analysis and Applications (Singapore)
2 Handbook of Numerical Analysis
2 Mathematics and Visualization
1 Calcolo
1 Journal of Computational and Applied Mathematics
1 Journal of Optimization Theory and Applications
1 Mathematica Numerica Sinica
1 Applied Numerical Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Applied Mathematics Letters
1 Journal of Global Optimization
1 Linear Algebra and its Applications
1 Pattern Recognition
1 SIAM Journal on Applied Mathematics
1 Computational Optimization and Applications
1 Computational and Applied Mathematics
1 East-West Journal of Numerical Mathematics
1 Multiscale Modeling & Simulation
1 International Journal of Tomography & Statistics
1 Bericht. Universität Jyväskylä. Mathematisches Institut
1 Lecture Notes in Computer Science
1 Advances in Adaptive Data Analysis
1 Communications in Mathematical Research
1 Science China. Information Sciences
1 Springer Proceedings in Mathematics & Statistics
1 East Asian Journal on Applied Mathematics
1 Actes des Rencontres du C.I.R.M.
1 Annals of Mathematical Sciences and Applications

Publications by Year

Citations contained in zbMATH Open

135 Publications have been cited 2,402 times in 1,263 Documents Cited by Year
Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time. Zbl 1286.94020
Lysaker, Marius; Lundervold, Arvid; Tai, Xue-Cheng
232
2003
Augmented Lagrangian method, dual methods, and split Bregman iteration for ROF, vectorial TV, and high order models. Zbl 1206.90245
Wu, Chunlin; Tai, Xue-Cheng
219
2010
A robust finite element method for Darcy-Stokes flow. Zbl 1037.65120
Mardal, Kent Andre; Tai, Xue-Cheng; Winther, Ragnar
123
2002
Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Zbl 1036.65086
Chan, Tony F.; Tai, Xue-Cheng
76
2004
Iterative image restoration combining total variation minimization and a second-order functional. Zbl 1286.94021
Lysaker, Marius; Tai, Xue-Cheng
73
2006
A fast algorithm for Euler’s elastica model using augmented Lagrangian method. Zbl 1215.68262
Tai, Xue-Cheng; Hahn, Jooyoung; Chung, Ginmo Jason
63
2011
A binary level set model and some applications to Mumford-Shah image segmentation. Zbl 1286.94018
Lie, Johan; Lysaker, Marius; Tai, Xue-Cheng
59
2006
Noise removal using smoothed normals and surface fitting. Zbl 1286.94022
Lysaker, Marius; Osher, Stanley; Tai, Xue-Cheng
57
2004
Augmented Lagrangian method, dual methods and split Bregman iteration for ROF model. Zbl 1371.94362
Tai, Xue-Cheng; Wu, Chunlin
56
2009
Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143
Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng
56
2005
Augmented Lagrangian method for total variation restoration with non-quadratic fidelity. Zbl 1225.80013
Wu, Chunlin; Zhang, Juyong; Tai, Xue-Cheng
54
2011
Identification of discontinuous coefficients in elliptic problems using total variation regularization. Zbl 1046.65090
Chan, Tony F.; Tai, Xue-Cheng
52
2003
A robust nonconforming \(H^2\)-element. Zbl 0965.65127
Nilssen, Trygve K.; Tai, Xue-Cheng; Winther, Ragnar
50
2001
A discrete de Rham complex with enhanced smoothness. Zbl 1168.76311
Tai, Xue-Cheng; Winther, Ragnar
49
2006
Global and uniform convergence of subspace correction methods for some convex optimization problems. Zbl 0985.65065
Tai, Xue-Cheng; Xu, Jinchao
49
2002
A variant of the level set method and applications to image segmentation. Zbl 1096.35034
Lie, Johan; Lysaker, Marius; Tai, Xue-Cheng
46
2006
A parallel splitting up method and its application to Navier-Stokes equations. Zbl 0718.65066
Lu, T.; Neittaanmäki, P.; Tai, Xue-Cheng
45
1991
Global minimization for continuous multiphase partitioning problems using a dual approach. Zbl 1235.68244
Bae, Egil; Yuan, Jing; Tai, Xue-Cheng
45
2011
A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations. Zbl 0756.65129
Lu, T.; Neittaanmäki, P.; Tai, X.-C.
34
1992
Rate of convergence of some space decomposition methods for linear and nonlinear problems. Zbl 0915.65063
Tai, Xue-Cheng; Espedal, Magne
34
1998
Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
34
2013
Rate of convergence for some constraint decomposition methods for nonlinear variational inequalities. Zbl 1057.65040
Tai, Xue-Cheng
32
2003
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
31
2013
Convergence rate analysis of a multiplicative Schwarz method for variational inequalities. Zbl 1052.65058
Badea, Lori; Tai, Xue-Cheng; Wang, Junping
28
2003
Superconvergence for the gradient of finite element approximations by L\(^{2}\) projections. Zbl 1047.65095
Heimsund, Bjørn-Ove; Tai, Xue-Cheng; Wang, Junping
26
2002
Some facts about operator-splitting and alternating direction methods. Zbl 1372.65205
Glowinski, Roland; Pan, Tsorng-Whay; Tai, Xue-Cheng
25
2016
A dual algorithm for minimization of the LLT model. Zbl 1170.94006
Chen, Hua-zhu; Song, Jin-ping; Tai, Xue-Cheng
25
2009
Augmented Lagrangian method for an Euler’s elastica based segmentation model that promotes convex contours. Zbl 1416.94013
Bae, Egil; Tai, Xue-Cheng; Zhu, Wei
25
2017
A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020
Tai, Xue-Cheng; Chan, Tony F.
24
2004
Convergence rate of overlapping domain decomposition methods for the Rudin-Osher-Fatemi model based on a dual formulation. Zbl 1329.94010
Chang, Huibin; Tai, Xue-Cheng; Wang, Li-Lian; Yang, Danping
23
2015
A nonlinear multigrid method for total variation minimization from image restoration. Zbl 1129.65046
Chen, Ke; Tai, Xue-Cheng
20
2007
Convergence rate analysis of an asynchronous space decomposition method for convex minimization. Zbl 0997.65088
Tai, Xue-Cheng; Tseng, Paul
19
2002
A two-level domain decomposition method for image restoration. Zbl 1204.68250
Xu, Jing; Tai, Xue-Cheng; Wang, Li-Lian
19
2010
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
Graph cuts for curvature based image denoising. Zbl 1372.94015
Bae, Egil; Shi, Juan; Tai, Xue-Cheng
17
2011
Image segmentation using some piecewise constant level set methods with MBO type of projection. Zbl 1477.68521
Tai, Xue-Cheng; Christiansen, Oddvar; Lin, Ping; SkjÆlaaen, Inge
16
2007
A piecewise constant level set method for elliptic inverse problems. Zbl 1115.65112
Tai, Xue-Cheng; Li, Hongwei
16
2007
A saddle point approach to the computation of harmonic maps. Zbl 1219.49030
Hu, Qiya; Tai, Xue-Cheng; Winther, Ragnar
16
2009
A weighted dictionary learning model for denoising images corrupted by mixed noise. Zbl 1373.94256
Liu, Jun; Tai, Xue-Cheng; Huang, Haiyang; Huan, Zhongdan
15
2013
A spatially continuous max-flow and min-cut framework for binary labeling problems. Zbl 1290.49060
Yuan, Jing; Bae, Egil; Tai, Xue-Cheng; Boykov, Yuri
14
2014
Sequential and parallel splitting methods for bilinear control problems in Hilbert spaces. Zbl 0868.65036
Kunisch, K.; Tai, X.-C.
14
1997
Augmented Lagrangian method for total variation based image restoration and segmentation over triangulated surfaces. Zbl 1253.94017
Wu, Chunlin; Zhang, Juyong; Duan, Yuping; Tai, Xue-Cheng
14
2012
Graph cut optimization for the piecewise constant level set method applied to multiphase image segmentation. Zbl 1296.94023
Bae, Egil; Tai, Xue-Cheng
13
2009
Applications of a space decomposition method to linear and nonlinear elliptic problems. Zbl 0926.65063
Tai, Xue-Cheng; Espedal, Magne
12
1998
On multiple level-set regularization methods for inverse problems. Zbl 1169.65045
DeCezaro, A.; Leitão, A.; Tai, X-C
12
2009
A space decomposition method for parabolic equations. Zbl 0891.65104
Tai, Xue-Cheng
12
1998
A compound algorithm of denoising using second-order and fourth-order partial differential equations. Zbl 1212.68383
Chang, Qianshun; Tai, Xuecheng; Xing, Lily
12
2009
A piecewise constant level set framework. Zbl 1125.49031
Lie, Johan; Lysaker, Marius; Tai, Xuecheng
12
2005
A modified TV-Stokes model for image processing. Zbl 1234.94012
Litvinov, William G.; Rahman, Talal; Tai, Xue-Cheng
12
2011
Global binary optimization on graphs for classification of high-dimensional data. Zbl 1333.90111
Merkurjev, Ekaterina; Bae, Egil; Bertozzi, Andrea L.; Tai, Xue-Cheng
11
2015
A level set method for solving free boundary problems associated with obstacles. Zbl 1082.65067
Majava, Kirsi; Tai, Xue-Cheng
11
2004
Parameter estimation with the augmented Lagrangian method for a parabolic equation. Zbl 1062.49028
Nilssen, T. K.; Tai, X. C.
11
2005
Domain decomposition methods with graph cuts algorithms for total variation minimization. Zbl 1242.65123
Duan, Yuping; Tai, Xue-Cheng
11
2012
Domain decomposition methods for nonlocal total variation image restoration. Zbl 1304.65105
Chang, Huibin; Zhang, Xiaoqun; Tai, Xue-Cheng; Yang, Danping
11
2014
Permeability estimation with the augmented Lagrangian method for a nonlinear diffusion equation. Zbl 1065.76186
Nilssen, Trygve K.; Mannseth, Trond; Tai, Xue-Cheng
10
2003
Convergent non-overlapping domain decomposition methods for variational image segmentation. Zbl 1409.68313
Duan, Yuping; Chang, Huibin; Tai, Xue-Cheng
9
2016
A binary level set model for elliptic inverse problems with discontinuous coefficients. Zbl 1113.49040
Nielsen, Lars Kristian; Tai, Xue-Cheng; Aanonsen, Sigurd Ivar; Espedal, Magne
9
2007
Identification of diffusion parameters in a nonlinear convection-diffusion equation using the augmented Lagrangian method. Zbl 1179.65122
Nilssen, T. K.; Karlsen, K. H.; Mannseth, T.; Tai, X.-C.
9
2009
High-order total variation regularization approach for axially symmetric object tomography from a single radiograph. Zbl 1308.65215
Chan, Raymond H.; Liang, Haixia; Wei, Suhua; Nikolova, Mila; Tai, Xue-Cheng
9
2015
Piecewise constant level set methods and image segmentation. Zbl 1119.68489
Lie, Johan; Lysaker, Marius; Tai, Xue-Cheng
8
2005
Convergence rate analysis of domain decomposition methods for obstacle problems. Zbl 0993.65075
Tai, X.-C.
8
2001
A direct approach toward global minimization for multiphase labeling and segmentation problems. Zbl 1373.49021
Gu, Ying; Wang, Li-Lian; Tai, Xue-Cheng
7
2012
Augmented-Lagrangian regularization of matrix-valued maps. Zbl 1292.65072
Rosman, Guy; Tai, Xue-Cheng; Kimmel, Ron; Bruckstein, Alfred M.
7
2014
Identification of a nonlinear parameter in a parabolic equation from a linear equation. Zbl 0845.93018
Tai, X.-C.; Kärkkäinen, T.
7
1995
A color elastica model for vector-valued image regularization. Zbl 07430639
Liu, Hao; Tai, Xue-Cheng; Kimmel, Ron; Glowinski, Roland
7
2021
Parallel finite element splitting-up method for parabolic problems. Zbl 0747.65084
Tai, Xuecheng; Neittaanmäki, Pekka
6
1991
Topology-preserving image segmentation by Beltrami representation of shapes. Zbl 1437.94011
Chan, Hei-Long; Yan, Shi; Lui, Lok-Ming; Tai, Xue-Cheng
6
2018
Fast operator-splitting algorithms for variational imaging models: some recent developments. Zbl 1446.94007
Glowinski, Roland; Luo, Shousheng; Tai, Xue-Cheng
6
2019
A globally convergent algorithm for a constrained non-Lipschitz image restoration model. Zbl 1455.94037
Wang, Weina; Wu, Chunlin; Tai, Xue-Cheng
6
2020
A simple fast algorithm for minimization of the elastica energy combining binary and level set representations. Zbl 1378.65133
Tai, Xue-Cheng; Duan, Jinming
6
2017
An effective region force for some variational models for learning and clustering. Zbl 1419.62159
Yin, Ke; Tai, Xue-Cheng
6
2018
An efficient operator-splitting method for noise removal in images. Zbl 1137.94308
Krishnan, D.; Lin, P.; Tai, X.-C.
6
2006
Image denoising using TV-Stokes equation with an orientation-matching minimization. Zbl 1371.94361
Tai, Xue-Cheng; Borok, Sofia; Hahn, Jooyoung
6
2009
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
Augmented Lagrangian method for generalized TV-Stokes model. Zbl 1253.94012
Hahn, Jooyoung; Wu, Chunlin; Tai, Xue-Cheng
6
2012
On piecewise constant level-set (PCLS) methods for the identification of discontinuous parameters in ill-posed problems. Zbl 1302.65147
De Cezaro, Adriano; Leitão, Antonio; Tai, Xue-Cheng
6
2013
Efficient global minimization methods for image segmentation models with four regions. Zbl 1331.68263
Bae, Egil; Tai, Xue-Cheng
5
2015
Piecewise constant level set method for multiphase motion. Zbl 1113.49044
Li, Hongwei; Tai, Xue-Cheng
5
2007
Domain decomposition for linear and nonlinear elliptic problems via function or space decomposition. Zbl 0817.65121
Tai, Xue-Cheng
5
1994
Reservoir description using a binary level set model. Zbl 1426.76692
Nielsen, Lars Kristian; Li, Hongwei; Tai, Xue-Cheng; Aanonsen, Sigurd Ivar; Espedal, Magne
5
2010
Simplified energy landscape for modularity using total variation. Zbl 1398.65133
Boyd, Zachary M.; Bae, Egil; Tai, Xue-Cheng; Bertozzi, Andrea L.
5
2018
Orientation-matching minimization for image denoising and inpainting. Zbl 1235.94023
Hahn, Jooyoung; Tai, Xue-Cheng; Borok, Sofia; Bruckstein, Alfred Marcel
5
2011
A regularized convolutional neural network for semantic image segmentation. Zbl 1462.68211
Jia, Fan; Liu, Jun; Tai, Xue-Cheng
5
2021
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 new operator splitting method for the Euler elastica model for image smoothing. Zbl 07716399
Deng, Liang-Jian; Glowinski, Roland; Tai, Xue-Cheng
5
2019
Convexity shape prior for level set-based image segmentation method. Zbl 07586389
Yan, Shi; Tai, Xue-Cheng; Liu, Jun; Huang, Hai-Yang
4
2020
Image segmentation based on GrabCut framework integrating multiscale nonlinear structure tensor. Zbl 1371.94154
Han, Shoudong; Tao, Wenbing; Wang, Desheng; Tai, Xue-Cheng; Wu, Xianglin
4
2009
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
Domain decomposition methods with graph cuts algorithms for image segmentation. Zbl 1208.94018
Tai, Xue-Cheng; Duan, Yuping
4
2011
On semi-implicit splitting schemes for the Beltrami color image filtering. Zbl 1255.94027
Rosman, Guy; Dascal, Lorina; Tai, Xue-Cheng; Kimmel, Ron
4
2011
Multilayer graph cuts based unsupervised color-texture image segmentation using multivariate mixed Student’s \(t\)-distribution and regional credibility merging. Zbl 1255.68183
Yang, Yong; Han, Shoudong; Wang, Tianjiang; Tao, Wenbing; Tai, Xue-Cheng
4
2013
Geometry of total variation regularized \(L^p\)-model. Zbl 1259.94020
Shi, Yuying; Wang, Li-Lian; Tai, Xue-Cheng
4
2012
A multigrid algorithm for maxflow and min-cut problems with applications to multiphase image segmentation. Zbl 1476.65328
Tai, Xue-Cheng; Deng, Liang-Jian; Yin, Ke
4
2021
A new variational approach based on level-set function for convex hull problem with outliers. Zbl 1517.65015
Li, Lingfeng; Luo, Shousheng; Tai, Xue-Cheng; Yang, Jiang
4
2021
Overlapping domain decomposition methods for ptychographic imaging. Zbl 1470.94008
Chang, Huibin; Glowinski, Roland; Marchesini, Stefano; Tai, Xue-Cheng; Wang, Yang; Zeng, Tieyong
4
2021
Proximal ADMM for Euler’s elastica based image decomposition model. Zbl 1449.94015
Liu, Zhifang; Wali, Samad; Duan, Yuping; Chang, Huibin; Wu, Chunlin; Tai, Xuecheng
3
2019
Subspace correction methods for nonsymmetric parabolic problems. Zbl 0984.65048
Rognes, Øystein; Tai, Xue-Cheng
3
2001
Error estimates for numerical identification of distributed parameters. Zbl 0793.65066
Tai, Xuecheng; Neittaanmäki, Pekka
3
1992
Rate of convergence for parallel subspace correction methods for nonlinear variational inequalities. Zbl 1026.65047
Tai, X.-C.; Heimsund, B.; Xu, J.
3
2002
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 fast operator-splitting method for Beltrami color image denoising. Zbl 1494.94005
Duan, Yuping; Zhong, Qiuxiang; Tai, Xue-Cheng; Glowinski, Roland
2
2022
A new binary representation method for shape convexity and application to image segmentation. Zbl 1492.65052
Luo, Shousheng; Tai, Xue-Cheng; Wang, Yang
1
2022
Convex object(s) characterization and segmentation using level set function. Zbl 07510333
Luo, Shousheng; Tai, Xue-Cheng; Glowinski, Roland
1
2022
An operator-splitting method for the Gaussian curvature regularization model with applications to surface smoothing and imaging. Zbl 07566194
Liu, Hao; Tai, Xue-Cheng; Glowinski, Roland
1
2022
A color elastica model for vector-valued image regularization. Zbl 07430639
Liu, Hao; Tai, Xue-Cheng; Kimmel, Ron; Glowinski, Roland
7
2021
A regularized convolutional neural network for semantic image segmentation. Zbl 1462.68211
Jia, Fan; Liu, Jun; Tai, Xue-Cheng
5
2021
A multigrid algorithm for maxflow and min-cut problems with applications to multiphase image segmentation. Zbl 1476.65328
Tai, Xue-Cheng; Deng, Liang-Jian; Yin, Ke
4
2021
A new variational approach based on level-set function for convex hull problem with outliers. Zbl 1517.65015
Li, Lingfeng; Luo, Shousheng; Tai, Xue-Cheng; Yang, Jiang
4
2021
Overlapping domain decomposition methods for ptychographic imaging. Zbl 1470.94008
Chang, Huibin; Glowinski, Roland; Marchesini, Stefano; Tai, Xue-Cheng; Wang, Yang; Zeng, Tieyong
4
2021
Efficient and convergent preconditioned ADMM for the Potts models. Zbl 1512.65099
Sun, Hongpeng; Tai, Xue-Cheng; Yuan, Jing
3
2021
A level set representation method for \(N\)-dimensional convex shape and applications. Zbl 1488.65043
Li, Lingfeng; Luo, Shousheng; Tai, Xuecheng; Yang, Jiang
3
2021
An efficient multi-grid method for TV minimization problems. Zbl 07394001
Zhang, Zhenwei; Li, Xue; Duan, Yuping; Yin, Ke; Tai, Xue-Cheng
1
2021
Topology- and convexity-preserving image segmentation based on image registration. Zbl 1481.68047
Zhang, Daoping; Tai, Xue-cheng; Lui, Lok Ming
1
2021
A globally convergent algorithm for a constrained non-Lipschitz image restoration model. Zbl 1455.94037
Wang, Weina; Wu, Chunlin; Tai, Xue-Cheng
6
2020
Convexity shape prior for level set-based image segmentation method. Zbl 07586389
Yan, Shi; Tai, Xue-Cheng; Liu, Jun; Huang, Hai-Yang
4
2020
Nonlocal regularized CNN for image segmentation. Zbl 1451.68307
Jia, Fan; Tai, Xue-Cheng; Liu, Jun
3
2020
Fast operator-splitting algorithms for variational imaging models: some recent developments. Zbl 1446.94007
Glowinski, Roland; Luo, Shousheng; Tai, Xue-Cheng
6
2019
A new operator splitting method for the Euler elastica model for image smoothing. Zbl 07716399
Deng, Liang-Jian; Glowinski, Roland; Tai, Xue-Cheng
5
2019
Proximal ADMM for Euler’s elastica based image decomposition model. Zbl 1449.94015
Liu, Zhifang; Wali, Samad; Duan, Yuping; Chang, Huibin; Wu, Chunlin; Tai, Xuecheng
3
2019
A dual EM algorithm for TV regularized Gaussian mixture model in image segmentation. Zbl 1426.94033
Yan, Shi; Liu, Jun; Huang, Haiyang; Tai, Xue-Cheng
3
2019
Segmentation by elastica energy with \({L^1}\) and \({L^2}\) curvatures: a performance comparison. Zbl 1449.94011
He, Xuan; Zhu, Wei; Tai, Xuecheng
2
2019
Survey of fast algorithms for Euler’s elastica-based image segmentation. Zbl 1446.65008
Kang, Sung Ha; Tai, Xue-Cheng; Zhu, Wei
1
2019
Topology-preserving image segmentation by Beltrami representation of shapes. Zbl 1437.94011
Chan, Hei-Long; Yan, Shi; Lui, Lok-Ming; Tai, Xue-Cheng
6
2018
An effective region force for some variational models for learning and clustering. Zbl 1419.62159
Yin, Ke; Tai, Xue-Cheng
6
2018
Simplified energy landscape for modularity using total variation. Zbl 1398.65133
Boyd, Zachary M.; Bae, Egil; Tai, Xue-Cheng; Bertozzi, Andrea L.
5
2018
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
Augmented Lagrangian method for an Euler’s elastica based segmentation model that promotes convex contours. Zbl 1416.94013
Bae, Egil; Tai, Xue-Cheng; Zhu, Wei
25
2017
A simple fast algorithm for minimization of the elastica energy combining binary and level set representations. Zbl 1378.65133
Tai, Xue-Cheng; Duan, Jinming
6
2017
Bregman-proximal augmented Lagrangian approach to multiphase image segmentation. Zbl 1489.65046
Yuan, Jing; Yin, Ke; Bai, Yi-Guang; Feng, Xiang-Chu; Tai, Xue-Cheng
2
2017
Some facts about operator-splitting and alternating direction methods. Zbl 1372.65205
Glowinski, Roland; Pan, Tsorng-Whay; Tai, Xue-Cheng
25
2016
Convergent non-overlapping domain decomposition methods for variational image segmentation. Zbl 1409.68313
Duan, Yuping; Chang, Huibin; Tai, Xue-Cheng
9
2016
Convergence rate of overlapping domain decomposition methods for the Rudin-Osher-Fatemi model based on a dual formulation. Zbl 1329.94010
Chang, Huibin; Tai, Xue-Cheng; Wang, Li-Lian; Yang, Danping
23
2015
Global binary optimization on graphs for classification of high-dimensional data. Zbl 1333.90111
Merkurjev, Ekaterina; Bae, Egil; Bertozzi, Andrea L.; Tai, Xue-Cheng
11
2015
High-order total variation regularization approach for axially symmetric object tomography from a single radiograph. Zbl 1308.65215
Chan, Raymond H.; Liang, Haixia; Wei, Suhua; Nikolova, Mila; Tai, Xue-Cheng
9
2015
Efficient global minimization methods for image segmentation models with four regions. Zbl 1331.68263
Bae, Egil; Tai, Xue-Cheng
5
2015
Fast algorithm for color texture image inpainting using the non-local CTV model. Zbl 1331.90053
Duan, Jinming; Pan, Zhenkuan; Zhang, Baochang; Liu, Wanquan; Tai, Xue-Cheng
2
2015
A fast edge detection algorithm using binary labels. Zbl 1332.65027
Shi, Yuying; Gu, Ying; Wang, Li-Lian; Tai, Xue-Cheng
2
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
A spatially continuous max-flow and min-cut framework for binary labeling problems. Zbl 1290.49060
Yuan, Jing; Bae, Egil; Tai, Xue-Cheng; Boykov, Yuri
14
2014
Domain decomposition methods for nonlocal total variation image restoration. Zbl 1304.65105
Chang, Huibin; Zhang, Xiaoqun; Tai, Xue-Cheng; Yang, Danping
11
2014
Augmented-Lagrangian regularization of matrix-valued maps. Zbl 1292.65072
Rosman, Guy; Tai, Xue-Cheng; Kimmel, Ron; Bruckstein, Alfred M.
7
2014
Efficient convex optimization approaches to variational image fusion. Zbl 1324.68239
Yuan, Jing; Miles, Brandon; Garvin, Greg; Tai, Xuecheng; Fenster, Aaron
2
2014
Image segmentation using Euler’s elastica as the regularization. Zbl 1282.65037
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
34
2013
Augmented Lagrangian method for a mean curvature based image denoising model. Zbl 1311.94015
Zhu, Wei; Tai, Xue-Cheng; Chan, Tony
31
2013
A weighted dictionary learning model for denoising images corrupted by mixed noise. Zbl 1373.94256
Liu, Jun; Tai, Xue-Cheng; Huang, Haiyang; Huan, Zhongdan
15
2013
On piecewise constant level-set (PCLS) methods for the identification of discontinuous parameters in ill-posed problems. Zbl 1302.65147
De Cezaro, Adriano; Leitão, Antonio; Tai, Xue-Cheng
6
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
Multilayer graph cuts based unsupervised color-texture image segmentation using multivariate mixed Student’s \(t\)-distribution and regional credibility merging. Zbl 1255.68183
Yang, Yong; Han, Shoudong; Wang, Tianjiang; Tao, Wenbing; Tai, Xue-Cheng
4
2013
Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models. Zbl 1263.65023
Rong, Zhijian; Wang, Li-Lian; Tai, Xue-Cheng
2
2013
Simultaneous convex optimization of regions and region parameters in image segmentation models. Zbl 1366.94045
Bae, Egil; Yuan, Jing; Tai, Xue-Cheng
1
2013
A ridge and corner preserving model for surface restoration. Zbl 1266.49080
Lai, Rongjie; Tai, Xue-Cheng; Chan, Tony F.
1
2013
Fast numerical schemes related to curvature minimization: a brief and elementary review. Zbl 1477.65098
Tai, Xue-Cheng
1
2013
Augmented Lagrangian method for total variation based image restoration and segmentation over triangulated surfaces. Zbl 1253.94017
Wu, Chunlin; Zhang, Juyong; Duan, Yuping; Tai, Xue-Cheng
14
2012
Domain decomposition methods with graph cuts algorithms for total variation minimization. Zbl 1242.65123
Duan, Yuping; Tai, Xue-Cheng
11
2012
A direct approach toward global minimization for multiphase labeling and segmentation problems. Zbl 1373.49021
Gu, Ying; Wang, Li-Lian; Tai, Xue-Cheng
7
2012
Augmented Lagrangian method for generalized TV-Stokes model. Zbl 1253.94012
Hahn, Jooyoung; Wu, Chunlin; Tai, Xue-Cheng
6
2012
Geometry of total variation regularized \(L^p\)-model. Zbl 1259.94020
Shi, Yuying; Wang, Li-Lian; Tai, Xue-Cheng
4
2012
A fast algorithm for Euler’s elastica model using augmented Lagrangian method. Zbl 1215.68262
Tai, Xue-Cheng; Hahn, Jooyoung; Chung, Ginmo Jason
63
2011
Augmented Lagrangian method for total variation restoration with non-quadratic fidelity. Zbl 1225.80013
Wu, Chunlin; Zhang, Juyong; Tai, Xue-Cheng
54
2011
Global minimization for continuous multiphase partitioning problems using a dual approach. Zbl 1235.68244
Bae, Egil; Yuan, Jing; Tai, Xue-Cheng
45
2011
Graph cuts for curvature based image denoising. Zbl 1372.94015
Bae, Egil; Shi, Juan; Tai, Xue-Cheng
17
2011
A modified TV-Stokes model for image processing. Zbl 1234.94012
Litvinov, William G.; Rahman, Talal; Tai, Xue-Cheng
12
2011
Orientation-matching minimization for image denoising and inpainting. Zbl 1235.94023
Hahn, Jooyoung; Tai, Xue-Cheng; Borok, Sofia; Bruckstein, Alfred Marcel
5
2011
Domain decomposition methods with graph cuts algorithms for image segmentation. Zbl 1208.94018
Tai, Xue-Cheng; Duan, Yuping
4
2011
On semi-implicit splitting schemes for the Beltrami color image filtering. Zbl 1255.94027
Rosman, Guy; Dascal, Lorina; Tai, Xue-Cheng; Kimmel, Ron
4
2011
A convex and exact approach to discrete constrained TV-L1 image approximation. Zbl 1286.94027
Yuan, Jing; Shi, Juan; Tai, Xue-Cheng
2
2011
Compression and denoising using \(l _{0}\)-norm. Zbl 1401.94055
Yau, Andy C.; Tai, Xuecheng; Ng, Michael K.
1
2011
Augmented Lagrangian method, dual methods, and split Bregman iteration for ROF, vectorial TV, and high order models. Zbl 1206.90245
Wu, Chunlin; Tai, Xue-Cheng
219
2010
A two-level domain decomposition method for image restoration. Zbl 1204.68250
Xu, Jing; Tai, Xue-Cheng; Wang, Li-Lian
19
2010
Reservoir description using a binary level set model. Zbl 1426.76692
Nielsen, Lars Kristian; Li, Hongwei; Tai, Xue-Cheng; Aanonsen, Sigurd Ivar; Espedal, Magne
5
2010
Augmented Lagrangian method, dual methods and split Bregman iteration for ROF model. Zbl 1371.94362
Tai, Xue-Cheng; Wu, Chunlin
56
2009
A dual algorithm for minimization of the LLT model. Zbl 1170.94006
Chen, Hua-zhu; Song, Jin-ping; Tai, Xue-Cheng
25
2009
A saddle point approach to the computation of harmonic maps. Zbl 1219.49030
Hu, Qiya; Tai, Xue-Cheng; Winther, Ragnar
16
2009
Graph cut optimization for the piecewise constant level set method applied to multiphase image segmentation. Zbl 1296.94023
Bae, Egil; Tai, Xue-Cheng
13
2009
On multiple level-set regularization methods for inverse problems. Zbl 1169.65045
DeCezaro, A.; Leitão, A.; Tai, X-C
12
2009
A compound algorithm of denoising using second-order and fourth-order partial differential equations. Zbl 1212.68383
Chang, Qianshun; Tai, Xuecheng; Xing, Lily
12
2009
Identification of diffusion parameters in a nonlinear convection-diffusion equation using the augmented Lagrangian method. Zbl 1179.65122
Nilssen, T. K.; Karlsen, K. H.; Mannseth, T.; Tai, X.-C.
9
2009
Image denoising using TV-Stokes equation with an orientation-matching minimization. Zbl 1371.94361
Tai, Xue-Cheng; Borok, Sofia; Hahn, Jooyoung
6
2009
Image segmentation based on GrabCut framework integrating multiscale nonlinear structure tensor. Zbl 1371.94154
Han, Shoudong; Tao, Wenbing; Wang, Desheng; Tai, Xue-Cheng; Wu, Xianglin
4
2009
Scale-space analysis of discrete filtering over arbitrary triangulated surfaces. Zbl 1176.65021
Wu, Chunlin; Deng, Jiansong; Chen, Falai; Tai, Xuecheng
3
2009
Image zooming algorithm based on partial differential equations technique. Zbl 1158.94304
Gao, Ran; Song, Jin-Ping; Tai, Xue-Cheng
2
2009
Model the solvent-excluded surface of 3D protein molecular structures using geometric PDE-based level-set method. Zbl 1365.92085
Pan, Qing; Tai, Xue-Cheng
2
2009
Scale space and variational methods in computer vision. Second international conference, SSVM 2009, Voss, Norway, June 1–5, 2009. Proceedings. Zbl 1233.68026
1
2009
A nonlinear multigrid method for total variation minimization from image restoration. Zbl 1129.65046
Chen, Ke; Tai, Xue-Cheng
20
2007
Image segmentation using some piecewise constant level set methods with MBO type of projection. Zbl 1477.68521
Tai, Xue-Cheng; Christiansen, Oddvar; Lin, Ping; SkjÆlaaen, Inge
16
2007
A piecewise constant level set method for elliptic inverse problems. Zbl 1115.65112
Tai, Xue-Cheng; Li, Hongwei
16
2007
A binary level set model for elliptic inverse problems with discontinuous coefficients. Zbl 1113.49040
Nielsen, Lars Kristian; Tai, Xue-Cheng; Aanonsen, Sigurd Ivar; Espedal, Magne
9
2007
Piecewise constant level set method for multiphase motion. Zbl 1113.49044
Li, Hongwei; Tai, Xue-Cheng
5
2007
Piecewise constant level set method for interface problems. Zbl 1116.35364
Li, Hongwei; Tai, Xue-Cheng
2
2007
Iterative image restoration combining total variation minimization and a second-order functional. Zbl 1286.94021
Lysaker, Marius; Tai, Xue-Cheng
73
2006
A binary level set model and some applications to Mumford-Shah image segmentation. Zbl 1286.94018
Lie, Johan; Lysaker, Marius; Tai, Xue-Cheng
59
2006
A discrete de Rham complex with enhanced smoothness. Zbl 1168.76311
Tai, Xue-Cheng; Winther, Ragnar
49
2006
A variant of the level set method and applications to image segmentation. Zbl 1096.35034
Lie, Johan; Lysaker, Marius; Tai, Xue-Cheng
46
2006
An efficient operator-splitting method for noise removal in images. Zbl 1137.94308
Krishnan, D.; Lin, P.; Tai, X.-C.
6
2006
Image segmentation by piecewise constant Mumford-Shah model without estimating the constants. Zbl 1095.94003
Tai, Xue-Cheng; Yao, Chang-Hui
2
2006
Electrical impedance tomography using level set representation and total variational regularization. Zbl 1072.65143
Chung, Eric T.; Chan, Tony F.; Tai, Xue-Cheng
56
2005
A piecewise constant level set framework. Zbl 1125.49031
Lie, Johan; Lysaker, Marius; Tai, Xuecheng
12
2005
Parameter estimation with the augmented Lagrangian method for a parabolic equation. Zbl 1062.49028
Nilssen, T. K.; Tai, X. C.
11
2005
Piecewise constant level set methods and image segmentation. Zbl 1119.68489
Lie, Johan; Lysaker, Marius; Tai, Xue-Cheng
8
2005
Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Zbl 1036.65086
Chan, Tony F.; Tai, Xue-Cheng
76
2004
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Cited by 1,931 Authors

70 Tai, Xuecheng
35 Chen, Ke
24 Zeng, Tie Yong
22 Wu, Chunlin
18 Huang, Ting-Zhu
17 Chang, Huibin
17 Duan, Yuping
17 Pang, Zhifeng
15 Steidl, Gabriele
14 Yang, Yufei
13 Guo, Zhichang
13 Ng, Michael Kwok-Po
12 Lv, Xiaoguang
12 Zhao, Xile
12 Zhu, Wei
11 Jung, Miyoun
11 Liu, Jun
11 Liu, Jun
11 Liu, Tao
11 Schönlieb, Carola-Bibiane
11 Zeng, Jinping
11 Zhu, Shengfeng
10 Chan, Raymond Hon-Fu
10 Glowinski, Roland
10 Lee, Chang-Ock
10 Park, Jongho
10 Wu, Boying
10 Wu, Tingting
9 Bae, Egil
9 Bergmann, Ronny
9 Huang, Xuehai
9 Li, Fang
9 Liu, Xinwu
9 Neilan, Michael
9 Yan, Ningning
9 Yang, Danping
9 Yang, Xiaoping
9 Zhang, Shuo
8 Chen, Shaochun
8 Cheng, Xiaoliang
8 Dong, Bin
8 Kang, Myungjoo
8 Osher, Stanley Joel
8 Wei, Guowei
8 Winther, Ragnar
8 Yuan, Jing
7 Huang, Yunqing
7 Leitão, Antonio
7 Liu, Chunxiao
7 Liu, Hao
7 Lou, Yifei
7 Mannseth, Trond
7 Pan, Zhenkuan
7 Sgallari, Fiorella
7 Shi, Baoli
7 Yu, Bo
7 Zhang, Jun
7 Zhang, Xiaoqun
6 Chan, Tony Fan-Cheong
6 Chen, Yunmei
6 De Cezaro, Adriano
6 Dong, Fangfang
6 Dorn, Oliver
6 Huang, Zhongyi
6 Jin, Bangti
6 Kang, Myeongmin
6 Kang, Sung Ha
6 Lanza, Alessandro
6 Mardal, Kent-Andre
6 Meng, Zhaoliang
6 Morigi, Serena
6 Quyen, Tran Nhan Tam
6 Shen, Zuowei
6 Shi, Yuying
6 Sun, Jiebao
6 Wang, Weina
6 Yashtini, Maryam
6 Yin, Ke
6 Zhang, Jianping
6 Zhou, Shuzi
5 Bertozzi, Andrea Louise
5 Brito-Loeza, Carlos
5 Deng, Liangjian
5 Đinh Nho Hào
5 Gao, Yiming
5 He, Yinnian
5 Jin, Zhengmeng
5 Khan, Akhtar Ali
5 Kim, Junseok
5 Kong, Dexing
5 Lamichhane, Bishnu Prasad
5 Laurain, Antoine
5 Liu, Huipo
5 Liu, Wanquan
5 Lui, Lok Ming
5 Luo, Shousheng
5 Qiao, Zhonghua
5 Theljani, Anis
5 Wang, Michael Yu
5 Wang, Si
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88 Journal of Scientific Computing
67 Journal of Mathematical Imaging and Vision
57 SIAM Journal on Imaging Sciences
53 Computers & Mathematics with Applications
49 Inverse Problems and Imaging
47 Journal of Computational and Applied Mathematics
42 Journal of Computational Physics
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34 Computer Methods in Applied Mechanics and Engineering
30 Inverse Problems
28 SIAM Journal on Scientific Computing
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22 Mathematical Problems in Engineering
21 Advances in Computational Mathematics
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18 Numerical Algorithms
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15 International Journal of Computer Vision
14 Mathematical Methods in the Applied Sciences
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11 Pattern Recognition
10 BIT
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8 Calcolo
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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8 East Asian Journal on Applied Mathematics
7 Journal of Mathematical Analysis and Applications
7 Acta Mathematicae Applicatae Sinica. English Series
7 Multidimensional Systems and Signal Processing
7 Abstract and Applied Analysis
7 Nonlinear Analysis. Real World Applications
7 Science China. Mathematics
6 International Journal for Numerical Methods in Engineering
6 Applied Mathematics Letters
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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4 Advances in Applied Mathematics and Mechanics
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3 Computing
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3 Advances in Numerical Analysis
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3 Computational Methods for Differential Equations
2 Archive for Rational Mechanics and Analysis
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2 Journal of Mathematical Biology
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2 Computer Aided Geometric Design
2 Signal Processing
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2 SIAM Journal on Optimization
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