X. Tai

Xue-Cheng Tai, Alexander Malyshev, A. Malyshev, 2019, 2019 13th International Conference on Software, Knowledge, Information Management and Applications (SKIMA).

A New Operator Splitting Method for the Euler Elastica Model for Image Smoothing

Xue-Cheng Tai, Liang-Jian Deng, Roland Glowinski, 2019, SIAM J. Imaging Sci..

Fast operator-splitting algorithms for variational imaging models: Some recent developments

Roland Glowinski, Xue-Cheng Tai, Shousheng Luo, 2019, Handbook of Numerical Analysis.

Survey of fast algorithms for Euler's elastica-based image segmentation

Xue-Cheng Tai, Sung Ha Kang, Wei Zhu, 2019, Handbook of Numerical Analysis.

A New Operator Splitting Method for the Euler Elastica Model for Image Smoothing

Xue-Cheng Tai, Liang-Jian Deng, Roland Glowinski, 2018, SIAM J. Imaging Sci..

Augmented Lagrangian method for an Euler's elastica based segmentation model that promotes convex contours

Xuecheng Tai, Egil Bae, Zhu Wei, 2017 .

Convergent Non-overlapping Domain Decomposition Methods for Variational Image Segmentation

Xue-Cheng Tai, Yuping Duan, Huibin Chang, 2016, J. Sci. Comput..

Some Facts About Operator-Splitting and Alternating Direction Methods

Xue-Cheng Tai, Roland Glowinski, Tsorng-Whay Pan, 2016 .

Fast algorithm for color texture image inpainting using the non-local CTV model

Wanquan Liu, Xue-Cheng Tai, Baochang Zhang, 2015, J. Glob. Optim..

Convergence Rate of Overlapping Domain Decomposition Methods for the Rudin-Osher-Fatemi Model Based on a Dual Formulation

Danping Yang, Xue-Cheng Tai, Li-Lian Wang, 2015, SIAM J. Imaging Sci..

A fast edge detection algorithm using binary labels

Ying Gu, Xue-Cheng Tai, Li-Lian Wang, 2015 .

Fast algorithm for color texture image inpainting using the non-local CTV model

Xuecheng Tai, J. Duan, Zhenkuan Pan, 2013, Journal of Global Optimization.

Domain Decomposition Methods for Total Variation Minimization

Danping Yang, Xue-Cheng Tai, Huibin Chang, 2015, EMMCVPR.

Domain Decomposition Methods for Nonlocal Total Variation Image Restoration

Danping Yang, Xue-Cheng Tai, Xiaoqun Zhang, 2014, J. Sci. Comput..

Efficient Convex Optimization Approaches to Variational Image Fusion

Aaron Fenster, Xue-Cheng Tai, Jing Yuan, 2014 .

Efficient Algorithms for Global Optimization Methods in Computer Vision

Xue-Cheng Tai, Andrés Bruhn, Thomas Pock, 2014, Lecture Notes in Computer Science.

Augmented Lagrangian method for a mean curvature based image denoising model

Xue-Cheng Tai, Tony F. Chan, Wei Zhu, 2013 .

Image Segmentation Using Euler’s Elastica as the Regularization

Xue-Cheng Tai, Tony F. Chan, Wei Zhu, 2013, J. Sci. Comput..

A Ridge and Corner Preserving Model for Surface Restoration

Xue-Cheng Tai, Tony F. Chan, Rongjie Lai, 2013, SIAM J. Sci. Comput..

Stroke-Based Surface Reconstruction

Xue-Cheng Tai, Hock Soon Seah, Eiji Sugisaki, 2013 .

Augmented Lagrangian Methods for p -Harmonic Flows with the Generalized Penalization Terms and Application to Image Processing

Xue-Cheng Tai, Huibin Chang, Huibin Chang, 2013 .

Fast numerical schemes related to curvature minimization: a brief and elementary review

Xue-Cheng Tai, Xuecheng Tai, X. Tai, 2013 .

Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional

Xue-Cheng Tai, Ola Marius Lysaker, O. M. Lysaker, 2005, International Journal of Computer Vision.

Overlapping domain decomposition and multigrid methods for inverse problems

T. Chan, Xuecheng Tai, M. Espedal, 1998 .

Parameter Estimation with the Augmented Lagrangian Method for a Parabolic Equation

Xuecheng Tai, T. Nilssen, X. Tai, 2005 .

Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients

T. Chan, Xuecheng Tai, X. Tai, 2004 .

Permeability Estimation with the Augmented Lagrangian Method for a Nonlinear Diffusion Equation

Xuecheng Tai, T. Mannseth, T. Nilssen, 2003 .

Robust Numerical Methods for Partial Differential Equations

Xuecheng Tai, R. Winther, M. Espedal, 2000 .

Rate of Convergence of Some Space Decomposition Methods for Linear and Nonlinear Problems

Xuecheng Tai, M. Espedal, X. Tai, 1998 .

Sequential and Parallel Splitting Methods for Bilinear Control Problems in Hilbert Spaces

Xuecheng Tai, K. Kunisch, X. Tai, 1997 .

Nonoverlapping Domain Decomposition Methods for Inverse Problems

Karl Kunisch, Xue-Cheng Tai, K. Kunisch, 1997 .

A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method

Xue-Cheng Tai, Jooyoung Hahn, Ginmo Jason Chung, 2011, SIAM J. Imaging Sci..

Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach

Xue-Cheng Tai, Jing Yuan, Egil Bae, 2011, International Journal of Computer Vision.

A dual algorithm for minimization of the LLT model

Xue-Cheng Tai, Hua-zhu Chen, Jin-ping Song, 2009, Adv. Comput. Math..

Image Denoising Using TV-Stokes Equation with an Orientation-Matching Minimization

Xue-Cheng Tai, Jooyoung Hahn, Sofia Borok, 2009, SSVM.

A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration

Ke Chen, Xue-Cheng Tai, Ke Chen, 2007, J. Sci. Comput..

Noise removal using smoothed normals and surface fitting

Xue-Cheng Tai, Stanley Osher, Ola Marius Lysaker, 2004, IEEE Transactions on Image Processing.

A Fast Algorithm for a Mean Curvature Based Image Denoising Model Using Augmented Lagrangian Method

Xue-Cheng Tai, Tony F. Chan, Wei Zhu, 2011, Efficient Algorithms for Global Optimization Methods in Computer Vision.

A Multigrid Algorithm for Maxflow and Min-Cut Problems with Applications to Multiphase Image Segmentation

Xue-Cheng Tai, Liang-Jian Deng, Ke Yin, 2021, J. Sci. Comput..

On Semi-implicit Splitting Schemes for the Beltrami Color Image Filtering

Ron Kimmel, Lorina Dascal, Guy Rosman, 2011, Journal of Mathematical Imaging and Vision.

Augmented Lagrangian Method for Total Variation Based Image Restoration and Segmentation Over Triangulated Surfaces

Xue-Cheng Tai, Yuping Duan, Juyong Zhang, 2012, J. Sci. Comput..

Applications of a space decomposition method to linear and nonlinear elliptic problems

Xuecheng Tai, M. Espedal, X. Tai, 1998 .

A Space Decomposition Method for Parabolic Equations

Xue-Cheng Tai, Xuecheng Tai, X. Tai, 1998 .

Rate of Convergence of a Space Decomposition method and Applications to Linear and Nonlinear Elliptic Problems

M. Espedal, X. Tai, 1996 .

A survey on multiple set methods with applications for identifying piecewise constant functions

T. Chan, Xuecheng Tai, X. Tai, 2004 .

Multiple level set methods and some applications for identifying piecewise constant functions ∗

T. Chan, Xuecheng Tai, X. Tai, 2003 .

Error Estimates for Numerical Identification of Distributed Parameters

Xuecheng Tai, P. Neittaanm, X. Tai, 1992 .

Identification of a Nonlinear Parameter in a Parabolic Equation from a Linear Equation

Xuecheng Tai, T. K. Arkk Ainen, X. Tai, 1995 .

A linear approach for the nonlinear distributed parameter identification problem

Xuecheng Tai, P. Neittaanmäki, X. Tai, 1991 .

A FE { SPLITTING { UP METHOD AND ITSAPPLICATION TO DISTRIBUTED PARAMETERIDENTIFICATION OF PARABOLIC TYPE )

P. Neittaanm, X. Tai, 1989 .

A BINARY LEVEL SET MODEL FOR ELLIPTIC INVERSE PROBLEMS WITH DISCONTINUOUS COEFFICIENTS

Xuecheng Tai, S. Aanonsen, K. Nielsen, 2006 .

Subspace correction methods for nonsymmetric parabolic problems

Xuecheng Tai, Øystein Rognes, X. Tai, 2001 .

On piecewise constant level-set (PCLS) methods for the identification of discontinuous parameters in ill-posed problems

Xuecheng Tai, A. Cezaro, A. Leitão, 2012 .

Reservoir description using a binary level set model

Magne S. Espedal, Xue-Cheng Tai, Hongwei Li, 2009, Comput. Vis. Sci..

On Level-Set Type Methods for Recovering Piecewise Constant Solutions of Ill-Posed Problems

Xue-Cheng Tai, Adriano DeCezaro, Antonio Leitão, 2009, SSVM.

Inverse Problems: Exercices

Xuecheng Tai, A. Leitão, A. DeCezaro, 2009 .

Four-Color Theorem and Level Set Methods for Watershed Segmentation

Erlend Hodneland, Xue-Cheng Tai, Hans-Hermann Gerdes, 2009, International Journal of Computer Vision.

Level Set Method for Positron Emission Tomography

Xue-Cheng Tai, Hongwei Li, Tony F. Chan, 2007, Int. J. Biomed. Imaging.

Reservoir Description Using a Binary Level Set Approach with Additional Prior Information About the Reservoir Model

Magne S. Espedal, Xue-Cheng Tai, Sigurd Ivar Aanonsen, 2007 .

A LEVEL SET METHOD FOR SOLVING FREE BOUNDARY PROBLEMS ASSOCIATED WITH OBSTACLES

K. Majava, X. Tai, 2003 .

A Direct Approach Toward Global Minimization for Multiphase Labeling and Segmentation Problems

Ying Gu, Xue-Cheng Tai, Li-Lian Wang, 2012, IEEE Transactions on Image Processing.

A two-level domain decomposition method for image restoration

Xuecheng Tai, J. Xu, Lilian Wang, 2010 .

A hybrid nonoverlapping domain decomposition scheme for advection dominated advection–diffusion problems

Magne S. Espedal, Xue-Cheng Tai, Ningning Yan, 2004, Numerical Algorithms.

A Hybrid Domain Decomposition Method for Advection-Diffusion Problems

Xuecheng Tai, M. Espedal, X. Tai, 1996 .

Maximizing Flows with Message-Passing: Computing Spatially Continuous Min-Cuts

Xue-Cheng Tai, Jing Yuan, Egil Bae, 2015, EMMCVPR.

A new continuous max-flow algorithm for multiphase image segmentation using super-level set functions

Xue-Cheng Tai, Jun Liu, Shingyu Leung, 2014, J. Vis. Commun. Image Represent..

A spatially continuous max-flow and min-cut framework for binary labeling problems

Xue-Cheng Tai, Jing Yuan, Yuri Boykov, 2014, Numerische Mathematik.

Efficient Global Minimization Methods for Image Segmentation Models with Four Regions

Egil Bae, X. Tai, 2014, Journal of Mathematical Imaging and Vision.

Domain decomposition methods with graph cuts algorithms for total variation minimization

Xue-Cheng Tai, Yuping Duan, Y. Duan, 2012, Adv. Comput. Math..

Multiple piecewise constant with geodesic active contours (MPC-GAC) framework for interactive image segmentation using graph cut optimization

Wenbing Tao, Xue-Cheng Tai, Wenbing Tao, 2011, Image Vis. Comput..

Graph Cuts for Curvature Based Image Denoising

Juan Shi, Xue-Cheng Tai, Egil Bae, 2011, IEEE Transactions on Image Processing.

Efficient Global Mini m ization for the Multiphase Chan-Vese Model of

Xuecheng Tai, Egil Bae, X. Tai, 2011 .

A Fast Continuous Max-Flow Approach to Non-convex Multi-labeling Problems

Xue-Cheng Tai, Jing Yuan, Yuri Boykov, 2011, Efficient Algorithms for Global Optimization Methods in Computer Vision.

A Continuous Max-Flow Approach to Potts Model

Xue-Cheng Tai, Jing Yuan, Yuri Boykov, 2010, ECCV.

A study on continuous max-flow and min-cut approaches

Xue-Cheng Tai, Jing Yuan, Egil Bae, 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

Efficient Global Minimization for the Multiphase Chan-Vese Model of Image Segmentation

Xue-Cheng Tai, Egil Bae, Egil Bae, 2009, EMMCVPR.

Graph Cut Optimization for the Piecewise Constant Level Set Method Applied to Multiphase Image Segmentation

Xue-Cheng Tai, Egil Bae, Egil Bae, 2009, SSVM.

DOMAIN DECOMPOSITION METHODS WITH GRAPH CUTS ALGORITHMS FOR IMAGE SEGMENTATION

Xuecheng Tai, Y. Duan, XUE-CHENG TAI, 2009 .

Image Inpainting Using a TV-Stokes Equation

Xue-Cheng Tai, Stanley Osher, Randi Holm, 2007 .

Global and uniform convergence of subspace correction methods for some convex optimization problems

Jinchao Xu, Xue-Cheng Tai, Jinchao Xu, 2002, Math. Comput..

Group-Valued Regularization for Analysis of Articulated Motion

Alexander M. Bronstein, Ron Kimmel, Guy Rosman, 2012, ECCV Workshops.

Augmented Lagrangian for Polyakov Action Minimization in Color Images

Ron Kimmel, Lorina Dascal, Guy Rosman, 2010 .

Parallel function decomposition and space decomposition methods - Part I. Function decomposition

Xuecheng Tai, X. Tai, 1995 .

Parallel Function Decomposition and Space Decomposition Methods with Applications to Optimization, S

Xuecheng Tai, X. Tai, 1992 .

Convergence rate analysis of an asynchronous space decomposition method for convex Minimization

Paul Tseng, Xue-Cheng Tai, P. Tseng, 2001, Math. Comput..

Global Convergence of Subspace Correction Methods for Convex Optimization Problems

Xuecheng Tai, Jinchao Xu, X. Tai, 1998 .

Subspace Correction Methods for Convex Optimization Problems

Jinchao Xu, Xue-Cheng Tai, Jinchao Xu, 1998 .

An Asynchronous Space Decomposition Method

P. Tseng, Xuecheng Tai, X. Tai, 1998 .

Rate of Convergence for some constraint decomposition methods for nonlinear variational inequalities

Xue-Cheng Tai, X. Tai, 2003, Numerische Mathematik.

Convergence rate analysis of domain decomposition methods for obstacle problems

Xue-Cheng Tai, X. Tai, 2001, J. Num. Math..

Parallel Function Decomposition and Space Decomposition Methods

Xuecheng Tai, X. Tai, 1994 .

Orientation-Matching Minimization for Image Denoising and Inpainting

Alfred M. Bruckstein, Xue-Cheng Tai, Jooyoung Hahn, 2011, International Journal of Computer Vision.

A Unified Framework for Automated 3-D Segmentation of Surface-Stained Living Cells and a Comprehensive Segmentation Evaluation

Erlend Hodneland, Arvid Lundervold, Xue-Cheng Tai, 2009, IEEE Transactions on Medical Imaging.

A new variational approach based on level-set function for convex hull problem with outliers

Xuecheng Tai, Jiang Yang, Shousheng Luo, 2021, Inverse Problems & Imaging.

A level set representation method for N-dimensional convex shape and applications pdf

Jiang Yang, Shousheng Luo, Xue-Cheng Tai, 2020, Communications in Mathematical Research.

PDE Based Algorithms for Smooth Watersheds

Erlend Hodneland, Xue-Cheng Tai, Henrik Kalisch, 2016, IEEE Transactions on Medical Imaging.

Model the Solvent-Excluded Surface of 3D Protein Molecular Structures Using Geometric PDE-Based Level-Set Method

Xuecheng Tai, Qing Pan, X. Tai, 2009 .

Convergence Rate Analysis of a Multiplicative Schwarz Method for Variational Inequalities

Xue-Cheng Tai, Junping Wang, Lori Badea, 2003, SIAM J. Numer. Anal..

An Augmented Lagrangian Method for the Microstructure of a Liquid Crystal Model

Xue-Cheng Tai, Ping Lin, P. Lin, 2014, Modeling, Simulation and Optimization for Science and Technology.

On Semi-implicit Splitting Schemes for the Beltrami Color Flow

Ron Kimmel, Lorina Dascal, Guy Rosman, 2009, SSVM.

Enhancing coded video quality with perceptual foveation driven bit allocation strategy

Xue-Cheng Tai, Junyong You, Junyong You, 2013, 2013 Visual Communications and Image Processing (VCIP).

Image Zooming Algorithm Based on Partial Differential Equations Technique

Xue-Cheng Tai, Jin-ping Song, Ran Gao, 2009 .

A Saddle Point Approach to the Computation of Harmonic Maps

Xue-Cheng Tai, Qiya Hu, Ragnar Winther, 2009, SIAM J. Numer. Anal..

A Level Set Formulation of Geodesic Curvature Flow on Simplicial Surfaces

Xue-Cheng Tai, Chunlin Wu, Chunlin Wu, 2010, IEEE Transactions on Visualization and Computer Graphics.

A fast segmentation method based on constraint optimization and its applications: Intensity inhomogeneity and texture segmentation

Xue-Cheng Tai, Jun Liu, Haiyang Huang, 2011, Pattern Recognit..

Bregman-Proximal Augmented Lagrangian Approach to Multiphase Image Segmentation

Xiangchu Feng, Xue-Cheng Tai, Jing Yuan, 2017, SSVM.

New region force for variational models in image segmentation and high dimensional data clustering pdf

Xue-Cheng Tai, Tony F. Chan, Ke Wei, 2017, ArXiv.

A Continuous Max-Flow Approach to Minimal Partitions with Label Cost Prior

Xue-Cheng Tai, Jing Yuan, Yuri Boykov, 2011, SSVM.

A Robust Finite Element Method for Darcy-Stokes Flow

Xue-Cheng Tai, Kent-André Mardal, Ragnar Winther, 2002, SIAM J. Numer. Anal..

A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations

Xuecheng Tai, P. Neittaanmäki, T. Lu, 1992 .

A parallel splitting up method and its application to Navier-Stokes equations

Xuecheng Tai, P. Neittaanmäki, T. Lu, 1991 .

A Generic Convexification and Graph Cut Method for Multiphase Image Segmentation

Xue-Cheng Tai, Jun Liu, Shingyu Leung, 2013, EMMCVPR.

A discrete de Rham complex with enhanced smoothness

Xuecheng Tai, R. Winther, X. Tai, 2006 .

A robust nonconforming H2-element

Xue-Cheng Tai, Trygve K. Nilssen, Ragnar Winther, 2001, Math. Comput..

Piecewise Constant Level Set Methods for Multiphase Motion

Xuecheng Tai, Lin Hongwei, X. Tai, 2005 .

Connections between Operator-splitting Methods and Deep Neural Networks with Applications in Image Segmentation

Hao Liu, X. Tai, Raymond R. Chan, 2023, ArXiv.

A Binary Characterization Method for Shape Convexity and Applications

Yunhai Xiao, Jinfeng Chen, Shousheng Luo, 2022, Applied Mathematical Modelling.

Geodesic Models With Convexity Shape Prior

L. Cohen, J. Mirebeau, Da Chen, 2021, IEEE Transactions on Pattern Analysis and Machine Intelligence.

Topology- and Convexity-Preserving Image Segmentation Based On Image Registration

Lok Ming Lui, Xue-Cheng Tai, Daoping Zhang, 2021 .

Learned snakes for 3D image segmentation

Yu Wang, Xue-Cheng Tai, Yuping Duan, 2021, Signal Process..

Convex Shape Prior for Multi-Object Segmentation Using a Single Level Set Function

Roland Glowinski, Yang Wang, Shousheng Luo, 2019, 2019 IEEE/CVF International Conference on Computer Vision (ICCV).

Convexity Shape Prior for Level Set-Based Image Segmentation Method

Jun Liu, Xue-Cheng Tai, Shi Yan, 2018, IEEE Transactions on Image Processing.

Topology-Preserving Image Segmentation by Beltrami Representation of Shapes

Lok Ming Lui, Xue-Cheng Tai, Shi Yan, 2018, Journal of Mathematical Imaging and Vision.

An Effective Region Force for Some Variational Models for Learning and Clustering

X. Tai, Ke Yin, Xue-Cheng Tai, 2017, Journal of Scientific Computing.

Convergent Non-overlapping Domain Decomposition Methods for Variational Image Segmentation

Huibin Chang, X. Tai, Yuping Duan, 2016, Journal of Scientific Computing.

Four color theorem and convex relaxation for image segmentation with any number of regions

T. Chan, Xuecheng Tai, Ruiliang Zhang, 2013 .

Robust Edge Detection Using Mumford-Shah Model and Binary Level Set Method

Xue-Cheng Tai, Li-Lian Wang, Yuying Shi, 2011, SSVM.

A Study on Convex Optimization Approaches to Image Fusion

Juan Shi, Xue-Cheng Tai, Jing Yuan, 2011, SSVM.

Level Set Methods for Watershed Image Segmentation

Joachim Weickert, Erlend Hodneland, Arvid Lundervold, 2007, SSVM.

Multiple Convex Objects Image Segmentation via Proximal Alternating Direction Method of Multipliers

Yunhai Xiao, Jinfeng Chen, Shousheng Luo, 2022, ArXiv.

An Effective Region Force for Some Variational Models for Learning and Clustering

Xue-Cheng Tai, Ke Yin, X. Tai, 2017, Journal of Scientific Computing.

A SIMPLE FAST ALGORITHM FOR MINIMIZATION OF THE ELASTICA ENERGY COMBING BINARY AND LEVEL SET REPRESENTATIONS

J. Duan, XUE-CHENG TAI, JINMING DUAN, 2017 .

Simultaneous Convex Optimization of Regions and Region Parameters in Image Segmentation Models

Xuecheng Tai, Egil Bae, Jing Yuan, 2013, Innovations for Shape Analysis, Models and Algorithms.

PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural Networks

Hao Liu, X. Tai, Raymond Chan, 2023, ArXiv.

An Elastica Geodesic Approach with Convexity Shape Prior

L. Cohen, J. Mirebeau, Da Chen, 2021, 2021 IEEE/CVF International Conference on Computer Vision (ICCV).

A New Binary Representation Method for Shape Convexity and Application to Image Segmentation

Yang Wang, Shousheng Luo, X. Tai, 2021, Analysis and Applications.

Reconstructing Open Surfaces via Graph-Cuts

Yu Wang, Xue-Cheng Tai, Desheng Wang, 2013, IEEE Transactions on Visualization and Computer Graphics.

Curvature Minimization for Surface Reconstruction with Features

Juan Shi, Xue-Cheng Tai, Desheng Wang, 2011, SSVM.

Augmented Lagrangian Method for Generalized TV-Stokes Model

Xue-Cheng Tai, Chunlin Wu, Jooyoung Hahn, 2012, J. Sci. Comput..

Nonlinear Multilevel Schemes for Solving the Total Variation Image Minimization Problem

Ke Chen, Xue-Cheng Tai, Tony F. Chan, 2006 .

A TV-Stokes Denoising Algorithm

Talal Rahman, Xue-Cheng Tai, Stanley Osher, 2007, SSVM.

Iterative regularization algorithms for image denoising with the TV-Stokes model pdf

Leszek Marcinkowski, Talal Rahman, Bin Wu, 2020, ArXiv.

A Modified TV-Stokes Model for Image Processing

Talal Rahman, Xue-Cheng Tai, William G. Litvinov, 2011, SIAM J. Sci. Comput..

Image Processing Based on Partial Differential Equations

Knut-Andreas Lie, Xue-Cheng Tai, Tony F. Chan, 2007 .

An efficient method for smart well production optimisation

Xuecheng Tai, S. Aanonsen, D. C. Doublet, 2009 .

IDmUNet: A new image decomposition induced network for sparse feature segmentation

Chunlin Wu, Yiming Gao, X. Tai, 2022, ArXiv.

Global and uniform convergence of subspace correction methods for some convex optimization problems

Jinchao Xu, X. Tai, 2002, Math. Comput..

Multilayer graph cuts based unsupervised color-texture image segmentation using multivariate mixed student's t-distribution and regional credibility merging

Wenbing Tao, Xue-Cheng Tai, Shoudong Han, 2013, Pattern Recognit..

Multidimensional TV-Stokes for image processing pdf

Talal Rahman, Bin Wu, Xue-Cheng Tai, 2020, ArXiv.

Variational Image Motion Estimation by Accelerated Dual Optimization

Jing Yuan, Hongpeng Sun, X. Tai, 2020, 2011.10979.

Data-driven Method for 3D Axis-symmetric Object Reconstruction from Single Cone-beam Projection Data

Yang Wang, Jianfeng Cai, Shousheng Luo, 2019, ISICDM.

An Iteration Method for X-Ray CT Reconstruction from Variable-Truncation Projection Data

Yang Wang, Yiqiu Dong, Xue-Cheng Tai, 2019, SSVM.

Jointly Segmenting Prostate Zones in 3D MRIs by Globally Optimized Coupled Level-Sets

Aaron Fenster, Xue-Cheng Tai, Wu Qiu, 2013, EMMCVPR.

Overlapping Domain Decomposition Methods for Ptychographic Imaging pdf

Roland Glowinski, Tieyong Zeng, Yang Wang, 2020, SIAM J. Sci. Comput..

Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time

O. M. Lysaker, A. Lundervold, X. Tai, 2003, IEEE Trans. Image Process..

An Efficient Operator-Splitting Method for Noise Removal in Images

D. Krishnan, P. Lin, Xuecheng Tai, 2006 .

A Fast Minimization Algorithm for the Euler Elastica Model Based on a Bilinear Decomposition

Baochen Sun, Huibin Chang, Zhifang Liu, 2023, arXiv.org.

A Fast Augmented Lagrangian Method for Euler's Elastica Model

Yu Wang, Xue-Cheng Tai, Yuping Duan, 2011, SSVM.

L0-Norm and Total Variation for Wavelet Inpainting

Michael K. Ng, Xue-Cheng Tai, Andy C. Yau, 2009, SSVM.

Convex hull algorithms based on some variational models pdf

Xue-Cheng Tai, Jiang Yang, Lingfeng Li, 2019, ArXiv.

Superconvergence for the Gradient of Finite Element Approximations by L2 Projections

Xue-Cheng Tai, Junping Wang, Bjørn-Ove Heimsund, 2002, SIAM J. Numer. Anal..

A Two-mesh Superconvergence Method for Mesh Adaptivity

Xuecheng Tai, Bjørn, Ove Heimsund, 2005 .

Connections between Operator-splitting Methods and Deep Neural Networks with Applications in Image Segmentation

Hao Liu, X. Tai, Raymond Chan, 2023, Annals of Applied Mathematics.

Convex Shape Representation with Binary Labels for Image Segmentation: Models and Fast Algorithms pdf

Yang Wang, Shousheng Luo, Xue-Cheng Tai, 2020, ArXiv.

Parallel finite element splitting‐up method for parabolic problems

Xue-Cheng Tai, Pekka Neittaanmäki, Xuecheng Tai, 1991 .

A FE-splitting-up method and its application to distributed parameter in parabolic equations

P. Neittaanmäki, X. Tai, 1990 .

Domain Decomposition For Linear And Nonlinear Elliptic Problems Via Function Or Space Decomposition

Xuecheng Tai, X. Tai, 1994 .

Nonlinear Positive Interpolation Operators for Analysis with Multilevel Grids

X. Tai, 2005 .

PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural Networks

Hao Liu, X. Tai, Raymond Chan, 2023, ArXiv.

Multi-class Transductive Learning Based on ℓ1 Relaxations of Cheeger Cut and Mumford-Shah-Potts Model

T. Chan, X. Bresson, X. Tai, 2014, Journal of Mathematical Imaging and Vision.

Efficient 3D Endfiring TRUS Prostate Segmentation with Globally Optimized Rotational Symmetry

Aaron Fenster, Xue-Cheng Tai, Wu Qiu, 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

Alternating minimization for a single step TV-Stokes model for image denoising pdf

Talal Rahman, Bin Wu, Xue-Cheng Tai, 2020, ArXiv.

Geometry of total variation regularized Lp-model

Xue-Cheng Tai, Li-Lian Wang, Yuying Shi, 2012, J. Comput. Appl. Math..

Fast algorithm for color texture image inpainting using the non-local CTV model

J. Duan, Wanquan Liu, Zhenkuan Pan, 2015, Journal of Global Optimization.

Scale Space and Variational Methods in Computer Vision

Knut-Andreas Lie, Xue-Cheng Tai, Knut Mørken, 2019, Lecture Notes in Computer Science.