Global extrapolation with a parallel splitting method. - Xue-Cheng Tai (Numer. Algorithms, 1992)

A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems. - Magne S. Espedal; Xue-Cheng Tai; Ningning Yan (Numer. Algorithms, 1998)

Convergence rate analysis of domain decomposition methods for obstacle problems. - Xue-Cheng Tai (J. Num. Math., 2001)

A robust nonconforming H2-element. - Trygve K. Nilssen; Xue-Cheng Tai; Ragnar Winther (Math. Comput., 2001)

Domain Decomposition and Multigrid Methods for Obstacle Problems. - Xue-Cheng Tai (International Conference on Computational Science (1), 2002)

Level set methods for a parameter identification problem. - Bjørn-Ove Heimsund; Tony F. Chan; Trygve K. Nilssen; Xue-Cheng Tai (Analysis and Optimization of Differential Systems, 2002)

Convergence rate analysis of an asynchronous space decomposition method for convex Minimization. - Xue-Cheng Tai; Paul Tseng (Math. Comput., 2002)

Global and uniform convergence of subspace correction methods for some convex optimization problems. - Xue-Cheng Tai; Jinchao Xu (Math. Comput., 2002)

Superconvergence for the Gradient of Finite Element Approximations by L2 Projections. - Bjørn-Ove Heimsund; Xue-Cheng Tai; Junping Wang (SIAM J. Numer. Anal., 2002)

A Robust Finite Element Method for Darcy-Stokes Flow. - Kent-André Mardal; Xue-Cheng Tai; Ragnar Winther (SIAM J. Numer. Anal., 2002)

Rate of Convergence for some constraint decomposition methods for nonlinear variational inequalities. - Xue-Cheng Tai (Numerische Mathematik, 2003)

Convergence Rate Analysis of a Multiplicative Schwarz Method for Variational Inequalities. - Lori Badea; Xue-Cheng Tai; Junping Wang (SIAM J. Numer. Anal., 2003)

Identification of Discontinuous Coefficients in Elliptic Problems Using Total Variation Regularization. - Tony F. Chan; Xue-Cheng Tai (SIAM J. Sci. Comput., 2003)

Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time. - Marius Lysaker; Arvid Lundervold; Xue-Cheng Tai (IEEE Trans. Image Process., 2003)

Noise removal using smoothed normals and surface fitting. - Ola Marius Lysaker; Stanley J. Osher; Xue-Cheng Tai (IEEE Trans. Image Process., 2004)

Piecewise Constant Level Set Methods and Image Segmentation. - Johan Lie; Ola Marius Lysaker; Xue-Cheng Tai (Scale-Space, 2005)

Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional. - Marius Lysaker; Xue-Cheng Tai (Int. J. Comput. Vis., 2006)

A variant of the level set method and applications to image segmentation. - Johan Lie; Marius Lysaker; Xue-Cheng Tai (Math. Comput., 2006)

A binary level set model and some applications to Mumford-Shah image segmentation. - Johan Lie; Marius Lysaker; Xue-Cheng Tai (IEEE Trans. Image Process., 2006)

Piecewise Constant Level Set Method for 3D Image Segmentation. - Are Losnegård; Oddvar Christiansen; Xue-Cheng Tai (SSVM, 2007)

A TV-Stokes Denoising Algorithm. - Talal Rahman; Xue-Cheng Tai; Stanley J. Osher (SSVM, 2007)

Level Set Methods for Watershed Image Segmentation. - Xue-Cheng Tai; Erlend Hodneland; Joachim Weickert; Nickolay V. Bukoreshtliev; Arvid Lundervold; Hans-Hermann Gerdes (SSVM, 2007)

Level Set Method for Positron Emission Tomography. - Tony F. Chan; Hongwei Li 006; Marius Lysaker; Xue-Cheng Tai (Int. J. Biomed. Imaging, 2007)

Image Segmentation Using Some Piecewise Constant Level Set Methods with MBO Type of Projection. - Xue-Cheng Tai; Oddvar Christiansen; Ping Lin; Inge Skjælaaen (Int. J. Comput. Vis., 2007)

A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration. - Ke Chen 002; Xue-Cheng Tai (J. Sci. Comput., 2007)

An Algorithm of Texture Image Segmentation by Piecewise Constant Level Set Method Based on Image Decomposition. - Shuai-jie Li; Jin-ping Song; Xue-Cheng Tai (CSIE (7), 2009)

Efficient Global Minimization for the Multiphase Chan-Vese Model of Image Segmentation. - Egil Bae; Xue-Cheng Tai (EMMCVPR, 2009)

Graph Cut Optimization for the Piecewise Constant Level Set Method Applied to Multiphase Image Segmentation. - Egil Bae; Xue-Cheng Tai (SSVM, 2009)

On Semi-implicit Splitting Schemes for the Beltrami Color Flow. - Lorina Dascal; Guy Rosman; Xue-Cheng Tai; Ron Kimmel (SSVM, 2009)

On Level-Set Type Methods for Recovering Piecewise Constant Solutions of Ill-Posed Problems. - Adriano DeCezaro; Antonio Leitão; Xue-Cheng Tai (SSVM, 2009)

Image Denoising Using TV-Stokes Equation with an Orientation-Matching Minimization. - Xue-Cheng Tai; Sofia Borok; Jooyoung Hahn (SSVM, 2009)

Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model. - Xue-Cheng Tai; Chunlin Wu (SSVM, 2009)

L0-Norm and Total Variation for Wavelet Inpainting. - Andy C. Yau; Xue-Cheng Tai; Michael K. Ng 001 (SSVM, 2009)

A dual algorithm for minimization of the LLT model. - Hua-zhu Chen; Jin-ping Song; Xue-Cheng Tai (Adv. Comput. Math., 2009)

Four-Color Theorem and Level Set Methods for Watershed Segmentation. - Erlend Hodneland; Xue-Cheng Tai; Hans-Hermann Gerdes (Int. J. Comput. Vis., 2009)

Scale-Space Analysis of Discrete Filtering over Arbitrary Triangulated Surfaces. - Chunlin Wu; Jiansong Deng; Falai Chen; Xue-Cheng Tai (SIAM J. Imaging Sci., 2009)

A Saddle Point Approach to the Computation of Harmonic Maps. - Qiya Hu; Xue-Cheng Tai; Ragnar Winther (SIAM J. Numer. Anal., 2009)

Image Segmentation Based on GrabCut Framework Integrating Multiscale Nonlinear Structure Tensor. - Shoudong Han; Wenbing Tao; Desheng Wang; Xue-Cheng Tai; Xianglin Wu (IEEE Trans. Image Process., 2009)

A Unified Framework for Automated 3-D Segmentation of Surface-Stained Living Cells and a Comprehensive Segmentation Evaluation. - Erlend Hodneland; Nickolay V. Bukoreshtliev; Tilo Wolf Eichler; Xue-Cheng Tai; Steffen Gurke; Arvid Lundervold; Hans-Hermann Gerdes (IEEE Trans. Medical Imaging, 2009)

A study on continuous max-flow and min-cut approaches. - Jing Yuan 001; Egil Bae; Xue-Cheng Tai (CVPR, 2010)

Polyakov Action Minimization for Efficient Color Image Processing. - Guy Rosman; Xue-Cheng Tai; Lorina Dascal; Ron Kimmel (ECCV Workshops (1), 2010)

A Continuous Max-Flow Approach to Potts Model. - Jing Yuan 001; Egil Bae; Xue-Cheng Tai; Yuri Boykov (ECCV (6), 2010)

Mesh Snapping: Robust Interactive Mesh Cutting Using Fast Geodesic Curvature Flow. - Juyong Zhang; Chunlin Wu; Jianfei Cai 001; Jianmin Zheng; Xue-Cheng Tai (Comput. Graph. Forum, 2010)

Reservoir description using a binary level set model. - Lars Kristian Nielsen; Hongwei Li 006; Xue-Cheng Tai; Sigurd Ivar Aanonsen; Magne S. Espedal (Comput. Vis. Sci., 2010)

Fast image segmentation based on multilevel banded closed-form method. - Shoudong Han; Wenbing Tao; Xianglin Wu; Xue-Cheng Tai; Tianjiang Wang (Pattern Recognit. Lett., 2010)

Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models. - Chunlin Wu; Xue-Cheng Tai (SIAM J. Imaging Sci., 2010)

A Level Set Formulation of Geodesic Curvature Flow on Simplicial Surfaces. - Chunlin Wu; Xue-Cheng Tai (IEEE Trans. Vis. Comput. Graph., 2010)

A Fast Continuous Max-Flow Approach to Non-convex Multi-labeling Problems. - Egil Bae; Jing Yuan 001; Xue-Cheng Tai; Yuri Boykov (Efficient Algorithms for Global Optimization Methods in Computer Vision, 2011)

Fast Regularization of Matrix-Valued Images. - Guy Rosman; Yu Wang 029; Xue-Cheng Tai; Ron Kimmel; Alfred M. Bruckstein (Efficient Algorithms for Global Optimization Methods in Computer Vision, 2011)

A Fast Algorithm for a Mean Curvature Based Image Denoising Model Using Augmented Lagrangian Method. - Wei Zhu 003; Xue-Cheng Tai; Tony F. Chan (Efficient Algorithms for Global Optimization Methods in Computer Vision, 2011)

A Fast Augmented Lagrangian Method for Euler's Elastica Model. - Yuping Duan; Yu Wang 029; Xue-Cheng Tai; Jooyoung Hahn (SSVM, 2011)

Fast Algorithms for p-elastica Energy with the Application to Image Inpainting and Curve Reconstruction. - Jooyoung Hahn; Ginmo Jason Chung; Yu Wang 029; Xue-Cheng Tai (SSVM, 2011)

Simultaneous Denoising and Illumination Correction via Local Data-Fidelity and Nonlocal Regularization. - Jun Liu 029; Xue-Cheng Tai; Haiyang Huang 001; Zhongdan Huan (SSVM, 2011)

Curvature Minimization for Surface Reconstruction with Features. - Juan Shi; Min Wan; Xue-Cheng Tai; Desheng Wang (SSVM, 2011)

Robust Edge Detection Using Mumford-Shah Model and Binary Level Set Method. - Li-Lian Wang; Yuying Shi; Xue-Cheng Tai (SSVM, 2011)

A Continuous Max-Flow Approach to Minimal Partitions with Label Cost Prior. - Jing Yuan 001; Egil Bae; Yuri Boykov; Xue-Cheng Tai (SSVM, 2011)

A Study on Convex Optimization Approaches to Image Fusion. - Jing Yuan 001; Juan Shi; Xue-Cheng Tai; Yuri Boykov (SSVM, 2011)

Introduction. - Thomas Y. Hou 001; Xue-Cheng Tai (Adv. Data Sci. Adapt. Anal., 2011)

Application of splitting scheme and multigrid method for TV-Stokes denoising. - Qianshun Chang; Xue-Cheng Tai; Lili Xing (Sci. China Inf. Sci., 2011)

Image denoising and deblurring: non-convex regularization, inverse diffusion and shock filter. - Shujun Fu; Caiming Zhang 001; Xue-Cheng Tai (Sci. China Inf. Sci., 2011)

Compression and denoising using l0-norm. - Andy C. Yau; Xue-Cheng Tai; Michael K. Ng 001 (Comput. Optim. Appl., 2011)

Efficient Algorithms for Global Optimisation Methods in Computer Vision (Dagstuhl Seminar 11471). - Andrés Bruhn; Thomas Pock; Xue-Cheng Tai (Dagstuhl Reports, 2011)

Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach. - Egil Bae; Jing Yuan 001; Xue-Cheng Tai (Int. J. Comput. Vis., 2011)

Orientation-Matching Minimization for Image Denoising and Inpainting. - Jooyoung Hahn; Xue-Cheng Tai; Sofia Borok; Alfred M. Bruckstein (Int. J. Comput. Vis., 2011)

Multiple piecewise constant with geodesic active contours (MPC-GAC) framework for interactive image segmentation using graph cut optimization. - Wenbing Tao; Xue-Cheng Tai (Image Vis. Comput., 2011)

On Semi-implicit Splitting Schemes for the Beltrami Color Image Filtering. - Guy Rosman; Lorina Dascal; Xue-Cheng Tai; Ron Kimmel (J. Math. Imaging Vis., 2011)

A fast segmentation method based on constraint optimization and its applications: Intensity inhomogeneity and texture segmentation. - Jun Liu 029; Xue-Cheng Tai; Haiyang Huang 001; Zhongdan Huan (Pattern Recognit., 2011)

A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method. - Xue-Cheng Tai; Jooyoung Hahn; Ginmo Jason Chung (SIAM J. Imaging Sci., 2011)

A Modified TV-Stokes Model for Image Processing. - William G. Litvinov; Talal Rahman; Xue-Cheng Tai (SIAM J. Sci. Comput., 2011)

Graph Cuts for Curvature Based Image Denoising. - Egil Bae; Juan Shi; Xue-Cheng Tai (IEEE Trans. Image Process., 2011)

Group-Valued Regularization for Analysis of Articulated Motion. - Guy Rosman; Alexander M. Bronstein; Michael M. Bronstein; Xue-Cheng Tai; Ron Kimmel (ECCV Workshops (1), 2012)

Domain decomposition methods with graph cuts algorithms for total variation minimization. - Yuping Duan; Xue-Cheng Tai (Adv. Comput. Math., 2012)

Geometry of total variation regularized Lp-model. - Yuying Shi; Li-Lian Wang; Xue-Cheng Tai (J. Comput. Appl. Math., 2012)

Augmented Lagrangian Method for Generalized TV-Stokes Model. - Jooyoung Hahn; Chunlin Wu; Xue-Cheng Tai (J. Sci. Comput., 2012)

Augmented Lagrangian Method for Total Variation Based Image Restoration and Segmentation Over Triangulated Surfaces. - Chunlin Wu; Juyong Zhang; Yuping Duan; Xue-Cheng Tai (J. Sci. Comput., 2012)

A Direct Approach Toward Global Minimization for Multiphase Labeling and Segmentation Problems. - Ying Gu; Li-Lian Wang; Xue-Cheng Tai (IEEE Trans. Image Process., 2012)

Simultaneous Convex Optimization of Regions and Region Parameters in Image Segmentation Models. - Egil Bae; Jing Yuan 001; Xue-Cheng Tai (Innovations for Shape Analysis, Models and Algorithms, 2013)

Efficient 3D Endfiring TRUS Prostate Segmentation with Globally Optimized Rotational Symmetry. - Jing Yuan 001; Wu Qiu; Martin Rajchl; Eranga Ukwatta; Xue-Cheng Tai; Aaron Fenster (CVPR, 2013)

Convex Relaxations for a Generalized Chan-Vese Model. - Egil Bae; Jan Lellmann; Xue-Cheng Tai (EMMCVPR, 2013)

A Generic Convexification and Graph Cut Method for Multiphase Image Segmentation. - Jun Liu 029; Xue-Cheng Tai; Shingyu Leung (EMMCVPR, 2013)

Jointly Segmenting Prostate Zones in 3D MRIs by Globally Optimized Coupled Level-Sets. - Jing Yuan 001; Eranga Ukwatta; Wu Qiu; Martin Rajchl; Yue Sun; Xue-Cheng Tai; Aaron Fenster (EMMCVPR, 2013)

Enhancing coded video quality with perceptual foveation driven bit allocation strategy. - Junyong You; Xue-Cheng Tai (VCIP, 2013)

Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models. - Zhijian Rong; Li-Lian Wang; Xue-Cheng Tai (Adv. Comput. Math., 2013)

Image Segmentation Using Euler's Elastica as the Regularization. - Wei Zhu 003; Xue-Cheng Tai; Tony F. Chan (J. Sci. Comput., 2013)

Multilayer graph cuts based unsupervised color-texture image segmentation using multivariate mixed student's t-distribution and regional credibility merging. - Yong Yang; Shoudong Han; Tianjiang Wang; Wenbing Tao; Xue-Cheng Tai (Pattern Recognit., 2013)

A Ridge and Corner Preserving Model for Surface Restoration. - Rongjie Lai; Xue-Cheng Tai; Tony F. Chan (SIAM J. Sci. Comput., 2013)

A Weighted Dictionary Learning Model for Denoising Images Corrupted by Mixed Noise. - Jun Liu 029; Xue-Cheng Tai; Haiyang Huang 001; Zhongdan Huan (IEEE Trans. Image Process., 2013)

Reconstructing Open Surfaces via Graph-Cuts. - Min Wan; Yu Wang 029; Egil Bae; Xue-Cheng Tai; Desheng Wang (IEEE Trans. Vis. Comput. Graph., 2013)

An Augmented Lagrangian Method for the Microstructure of a Liquid Crystal Model. - Ping Lin; Xue-Cheng Tai (Modeling, Simulation and Optimization for Science and Technology, 2014)

Maximizing Flows with Message-Passing: Computing Spatially Continuous Min-Cuts. - Egil Bae; Xue-Cheng Tai; Jing Yuan 001 (EMMCVPR, 2014)

Domain Decomposition Methods for Total Variation Minimization. - Huibin Chang; Xue-Cheng Tai; Danping Yang (EMMCVPR, 2014)

Variational Time-Implicit Multiphase Level-Sets - A Fast Convex Optimization-Based Solution. - Martin Rajchl; John S. H. Baxter; Egil Bae; Xue-Cheng Tai; Aaron Fenster; Terry M. Peters; Jing Yuan 001 (EMMCVPR, 2014)

Multi-class Transductive Learning Based on ℓ 1 Relaxations of Cheeger Cut and Mumford-Shah-Potts Model. - Xavier Bresson; Xue-Cheng Tai; Tony F. Chan; Arthur Szlam (J. Math. Imaging Vis., 2014)

Domain Decomposition Methods for Nonlocal Total Variation Image Restoration. - Huibin Chang; Xiaoqun Zhang; Xue-Cheng Tai; Danping Yang (J. Sci. Comput., 2014)

A new continuous max-flow algorithm for multiphase image segmentation using super-level set functions. - Jun Liu 029; Xue-Cheng Tai; Shingyu Leung; Haiyang Huang 001 (J. Vis. Commun. Image Represent., 2014)

A spatially continuous max-flow and min-cut framework for binary labeling problems. - Jing Yuan 001; Egil Bae; Xue-Cheng Tai; Yuri Boykov (Numerische Mathematik, 2014)

Fast algorithm for color texture image inpainting using the non-local CTV model. - Jinming Duan 001; Zhenkuan Pan 001; Baochang Zhang 001; Wanquan Liu; Xue-Cheng Tai (J. Glob. Optim., 2015)

Efficient Global Minimization Methods for Image Segmentation Models with Four Regions. - Egil Bae; Xue-Cheng Tai (J. Math. Imaging Vis., 2015)

Global Binary Optimization on Graphs for Classification of High-Dimensional Data. - Ekaterina Merkurjev; Egil Bae; Andrea L. Bertozzi; Xue-Cheng Tai (J. Math. Imaging Vis., 2015)

Convergence Rate of Overlapping Domain Decomposition Methods for the Rudin-Osher-Fatemi Model Based on a Dual Formulation. - Huibin Chang; Xue-Cheng Tai; Li-Lian Wang; Danping Yang (SIAM J. Imaging Sci., 2015)

Deep Learning for Remote Sensing Image Understanding. - Liangpei Zhang 001; Gui-Song Xia; Tianfu Wu 001; Liang Lin; Xue-Cheng Tai (J. Sensors, 2016)

Convergent Non-overlapping Domain Decomposition Methods for Variational Image Segmentation. - Yuping Duan; Huibin Chang; Xue-Cheng Tai (J. Sci. Comput., 2016)

PDE Based Algorithms for Smooth Watersheds. - Erlend Hodneland; Xue-Cheng Tai; Henrik Kalisch (IEEE Trans. Medical Imaging, 2016)

Bregman-Proximal Augmented Lagrangian Approach to Multiphase Image Segmentation. - Jing Yuan 001; Ke Yin; Yi-Guang Bai; Xiang-Chu Feng; Xue-Cheng Tai (SSVM, 2017)

New region force for variational models in image segmentation and high dimensional data clustering. - Ke Wei 001; Ke Yin; Xue-Cheng Tai; Tony F. Chan (CoRR, 2017)

Topology-Preserving Image Segmentation by Beltrami Representation of Shapes. - Hei Long Chan; Shi Yan 003; Lok Ming Lui; Xue-Cheng Tai (J. Math. Imaging Vis., 2018)

An Effective Region Force for Some Variational Models for Learning and Clustering. - Ke Yin; Xue-Cheng Tai (J. Sci. Comput., 2018)

Simplified Energy Landscape for Modularity Using Total Variation. - Zachary M. Boyd; Egil Bae; Xue-Cheng Tai; Andrea L. Bertozzi (SIAM J. Appl. Math., 2018)

Convex Shape Prior for Multi-Object Segmentation Using a Single Level Set Function. - Shousheng Luo; Xue-Cheng Tai; Limei Huo; Yang Wang 020; Roland Glowinski (ICCV, 2019)

Regularized UNet for Automated Pancreas Segmentation. - Jia Fan; Xue-Cheng Tai (ISICDM, 2019)

Low-dose X-ray Computed Tomography Image Reconstruction Using Edge Sparsity Regularization. - Shousheng Luo; Keke Kang; Yang Wang 020; Xue-Cheng Tai (ISICDM, 2019)

Data-driven Method for 3D Axis-symmetric Object Reconstruction from Single Cone-beam Projection Data. - Shousheng Luo; Ruyue Meng; Suhua Wei; Jian-Feng Cai 001; Xue-Cheng Tai; Yang Wang 020 (ISICDM, 2019)

An Iteration Method for X-Ray CT Reconstruction from Variable-Truncation Projection Data. - Limei Huo; Shousheng Luo; Yiqiu Dong; Xue-Cheng Tai; Yang Wang 020 (SSVM, 2019)

A Variational Convex Hull Algorithm. - Lingfeng Li; Shousheng Luo; Xue-Cheng Tai; Jiang Yang (SSVM, 2019)

Variational Model for Depth Estimation from Images. - Alexander Malyshev; Xue-Cheng Tai (SKIMA, 2019)

A Regularized Convolutional Neural Network for Semantic Image Segmentation. - Fan Jia; Jun Liu 029; Xue-Cheng Tai (CoRR, 2019)

Convex hull algorithms based on some variational models. - Lingfeng Li; Shousheng Luo; Xue-Cheng Tai; Jiang Yang (CoRR, 2019)

Volume Preserving Image Segmentation with Entropic Regularization Optimal Transport and Its Applications in Deep Learning. - Haifeng Li; Jun Liu 029; Li Cui; Haiyang Huang 001; Xue-Cheng Tai (CoRR, 2019)

The fusion of panchromatic and multispectral remote sensing images via tensor-based sparse modeling and hyper-Laplacian prior. - Liang-Jian Deng; Minyu Feng; Xue-Cheng Tai (Inf. Fusion, 2019)

A New Operator Splitting Method for the Euler Elastica Model for Image Smoothing. - Liang-Jian Deng; Roland Glowinski; Xue-Cheng Tai (SIAM J. Imaging Sci., 2019)

Deep Convolutional Neural Networks with Spatial Regularization, Volume and Star-shape Priori for Image Segmentation. - Jun Liu 029; Xiangyue Wang; Xue-Cheng Tai (CoRR, 2020)

Convex Shape Representation with Binary Labels for Image Segmentation: Models and Fast Algorithms. - Shousheng Luo; Xue-Cheng Tai; Yang Wang 020 (CoRR, 2020)

A level set representation method for N-dimensional convex shape and applications. - Lingfeng Li; Shousheng Luo; Xue-Cheng Tai; Jiang Yang (CoRR, 2020)

Convex Shape Prior for Deep Neural Convolution Network based Eye Fundus Images Segmentation. - Jun Liu 029; Xue-Cheng Tai; Shousheng Luo (CoRR, 2020)

Multidimensional TV-Stokes for image processing. - Bin Wu 018; Xue-Cheng Tai; Talal Rahman (CoRR, 2020)

Alternating minimization for a single step TV-Stokes model for image denoising. - Bin Wu 018; Xue-Cheng Tai; Talal Rahman (CoRR, 2020)

Iterative regularization algorithms for image denoising with the TV-Stokes model. - Bin Wu 018; Leszek Marcinkowski; Xue-Cheng Tai; Talal Rahman (CoRR, 2020)

Sparse-data based 3D surface reconstruction with vector matching. - Bin Wu 018; Xue-Cheng Tai; Talal Rahman (CoRR, 2020)

A Globally Convergent Algorithm for a Constrained Non-Lipschitz Image Restoration Model. - Weina Wang 003; Chunlin Wu; Xue-Cheng Tai (J. Sci. Comput., 2020)

Volume preserving image segmentation with entropy regularized optimal transport and its applications in deep learning. - Haifeng Li; Jun Liu 029; Li Cui; Haiyang Huang 001; Xue-Cheng Tai (J. Vis. Commun. Image Represent., 2020)

Convexity Shape Prior for Level Set-Based Image Segmentation Method. - Shi Yan 003; Xue-Cheng Tai; Jun Liu 029; Haiyang Huang 001 (IEEE Trans. Image Process., 2020)

An Elastica Geodesic Approach with Convexity Shape Prior. - Da Chen 002; Laurent D. Cohen; Jean-Marie Mirebeau; Xuecheng Tai (ICCV, 2021)

Generalization Error Analysis of Neural networks with Gradient Based Regularization. - Lingfeng Li; Xue-Cheng Tai; Jiang Yang (CoRR, 2021)

An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications in Surface Smoothing and Imaging. - Hao Liu 028; Xue-Cheng Tai; Roland Glowinski (CoRR, 2021)

A Multigrid Algorithm for Maxflow and Min-Cut Problems with Applications to Multiphase Image Segmentation. - Xue-Cheng Tai; Liang-Jian Deng; Ke Yin (J. Sci. Comput., 2021)

A Color Elastica Model for Vector-Valued Image Regularization. - Hao Liu 028; Xue-Cheng Tai; Ron Kimmel; Roland Glowinski (SIAM J. Imaging Sci., 2021)

Overlapping Domain Decomposition Methods for Ptychographic Imaging. - Huibin Chang; Roland Glowinski; Stefano Marchesini; Xue-Cheng Tai; Yang Wang 020; Tieyong Zeng (SIAM J. Sci. Comput., 2021)

Efficient and Convergent Preconditioned ADMM for the Potts Models. - Hongpeng Sun; Xue-Cheng Tai; Jing Yuan 001 (SIAM J. Sci. Comput., 2021)

Learned snakes for 3D image segmentation. - Lihong Guo; Yueyun Liu; Yu Wang 108; Yuping Duan; Xue-Cheng Tai (Signal Process., 2021)

Variance-Reduced Randomized Kaczmarz Algorithm In Xfel Single-Particle Imaging Phase Retrieval. - Yin Xian; Haiguang Liu; Xuecheng Tai; Yang Wang 020 (ICIP, 2022)

Multi-view subspace clustering with inter-cluster consistency and intra-cluster diversity among views. - Huazhu Chen; Xuecheng Tai; Weiwei Wang 005 (Appl. Intell., 2022)

IDmUNet: A new image decomposition induced network for sparse feature segmentation. - Yumeng Ren; Yiming Gao 008; Chunlin Wu; Xue-Cheng Tai (CoRR, 2022)

Multiple Convex Objects Image Segmentation via Proximal Alternating Direction Method of Multipliers. - Shousheng Luo; Jinfeng Chen; Yunhai Xiao; Xue-Cheng Tai (CoRR, 2022)

Randomized Kaczmarz Method for Single Particle X-ray Image Phase Retrieval. - Yin Xian; Haiguang Liu; Xuecheng Tai; Yang Wang 020 (CoRR, 2022)

Deep Convolutional Neural Networks with Spatial Regularization, Volume and Star-Shape Priors for Image Segmentation. - Jun Liu 029; Xiangyue Wang; Xue-Cheng Tai (J. Math. Imaging Vis., 2022)

Convex Object(s) Characterization and Segmentation Using Level Set Function. - Shousheng Luo; Xue-Cheng Tai; Roland Glowinski (J. Math. Imaging Vis., 2022)

A Fast Operator-splitting Method for Beltrami Color Image Denoising. - Yuping Duan; Qiuxiang Zhong; Xue-Cheng Tai; Roland Glowinski (J. Sci. Comput., 2022)

An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging. - Hao Liu 028; Xue-Cheng Tai; Roland Glowinski (SIAM J. Sci. Comput., 2022)

Connections between Operator-splitting Methods and Deep Neural Networks with Applications in Image Segmentation. - Hao Liu 028; Xue-Cheng Tai; Raymond H. Chan (CoRR, 2023)

Elastica Models for Color Image Regularization. - Hao Liu 028; Xue-Cheng Tai; Ron Kimmel; Roland Glowinski (SIAM J. Imaging Sci., 2023)

Geodesic Models With Convexity Shape Prior. - Da Chen 002; Jean-Marie Mirebeau; Minglei Shu; Xue-Cheng Tai; Laurent D. Cohen (IEEE Trans. Pattern Anal. Mach. Intell., 2023)

A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems. - Xue-Cheng Tai; Ragnar Winther; Xiaodi Zhang 003; Weiying Zheng (SIAM J. Numer. Anal., 2023)

Preconditioned Algorithm for Difference of Convex Functions with Applications to Graph Ginzburg-Landau Model. - Xinhua Shen; Hongpeng Sun; Xuecheng Tai (Multiscale Model. Simul., 2023)

BP-DeepONet: A new method for cuffless blood pressure estimation using the physcis-informed DeepONet. - Lingfeng Li; Xue-Cheng Tai; Raymond Chan 001 (CoRR, 2024)

A new method to compute the blood flow equations using the physics-informed neural operator. - Lingfeng Li; Xue-Cheng Tai; Raymond Honfu Chan (J. Comput. Phys., 2024)

Double-Well Net for Image Segmentation. - Hao Liu 028; Jun Liu 029; Raymond H. Chan; Xue-Cheng Tai (Multiscale Model. Simul., 2024)

A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using a Physics-Informed Neural Network. - Han Zhang; Raymond H. Chan; Xue-Cheng Tai (SIAM J. Sci. Comput., 2024)

A Priori Error Estimate of Deep Mixed Residual Method for Elliptic PDEs. - Lingfeng Li; Xue-Cheng Tai; Jiang Yang; Quanhui Zhu (J. Sci. Comput., 2024)

A Fast Minimization Algorithm for the Euler Elastica Model Based on a Bilinear Decomposition. - Zhifang Liu; Baochen Sun; Xue-Cheng Tai; Qi Wang 021; Huibin Chang (SIAM J. Sci. Comput., 2024)

A Variational Model for Nonuniform Low-Light Image Enhancement. - Fan Jia; Shen Mao; Xue-Cheng Tai; Tieyong Zeng (SIAM J. Imaging Sci., 2024)

PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural Networks. - Xue-Cheng Tai; Hao Liu 028; Raymond Chan 001 (SIAM J. Imaging Sci., 2024)

Efficient Convex Optimization for Non-convex Non-smooth Image Restoration. - Xinyi Li; Jing Yuan 001; Xue-Cheng Tai; Sanyang Liu (J. Sci. Comput., 2024)

New Ways to Design Deep Neural Networks. - Xue-Cheng Tai; Hao Liu 028; Chan H. Raymond; Lingfeng Li (NAIS, 2025)

Deep convolutional neural networks meet variational shape compactness priors for image segmentation. - Kehui Zhang; Lingfeng Li; Hao Liu 028; Jing Yuan 001; Xue-Cheng Tai (Neurocomputing, 2025)

A mathematical explanation of UNet. - Xue-Cheng Tai; Hao Liu 028; Raymond H. Chan; Lingfeng Li (Math. Found. Comput., 2025)

Image segmentation via two-step deep variational priors. - Lu Tan; Xue-Cheng Tai; Ling Li 006; Wanquan Liu; Raymond H. Chan; Danfeng Hong (Pattern Recognit. Lett., 2025)

Fluid Dynamics and Domain Reconstruction from Noisy Flow Images Using Physics-Informed Neural Networks and Quasi-Conformal Mapping. - Han Zhang; Xue-Cheng Tai; Jean-Michel Morel; Raymond H. Chan (CoRR, 2025)

A Registration-Based Star-Shape Segmentation Model and Fast Algorithms. - Daoping Zhang; Xue-Cheng Tai; Lok Ming Lui (J. Sci. Comput., 2025)