Xue-Cheng Tai

Orcid: 0000-0003-3359-9104

According to our database1, Xue-Cheng Tai authored at least 157 papers between 1992 and 2024.

Collaborative distances:

Timeline

Legend:

Book 
In proceedings 
Article 
PhD thesis 
Dataset
Other 

Links

On csauthors.net:

Bibliography

2024
PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural Networks.
SIAM J. Imaging Sci., March, 2024

A Variational Model for Nonuniform Low-Light Image Enhancement.
SIAM J. Imaging Sci., March, 2024

A Fast Minimization Algorithm for the Euler Elastica Model Based on a Bilinear Decomposition.
SIAM J. Sci. Comput., February, 2024

A Priori Error Estimate of Deep Mixed Residual Method for Elliptic PDEs.
J. Sci. Comput., February, 2024

BP-DeepONet: A new method for cuffless blood pressure estimation using the physcis-informed DeepONet.
CoRR, 2024

Double-well Net for Image Segmentation.
CoRR, 2024

2023
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems.
SIAM J. Numer. Anal., October, 2023

Geodesic Models With Convexity Shape Prior.
IEEE Trans. Pattern Anal. Mach. Intell., July, 2023

Elastica Models for Color Image Regularization.
SIAM J. Imaging Sci., March, 2023

A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using Physics-Informed Neural Network.
CoRR, 2023

A Fast Minimization Algorithm for the Euler Elastica Model Based on a Bilinear Decomposition.
CoRR, 2023

Connections between Operator-splitting Methods and Deep Neural Networks with Applications in Image Segmentation.
CoRR, 2023

Preconditioned Algorithm for Difference of Convex Functions with applications to Graph Ginzburg-Landau Model.
CoRR, 2023

2022
An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging.
SIAM J. Sci. Comput., 2022

A Fast Operator-splitting Method for Beltrami Color Image Denoising.
J. Sci. Comput., 2022

Convex Object(s) Characterization and Segmentation Using Level Set Function.
J. Math. Imaging Vis., 2022

Deep Convolutional Neural Networks with Spatial Regularization, Volume and Star-Shape Priors for Image Segmentation.
J. Math. Imaging Vis., 2022

Multiple Convex Objects Image Segmentation via Proximal Alternating Direction Method of Multipliers.
CoRR, 2022

IDmUNet: A new image decomposition induced network for sparse feature segmentation.
CoRR, 2022

2021
Learned snakes for 3D image segmentation.
Signal Process., 2021

Efficient and Convergent Preconditioned ADMM for the Potts Models.
SIAM J. Sci. Comput., 2021

Overlapping Domain Decomposition Methods for Ptychographic Imaging.
SIAM J. Sci. Comput., 2021

A Color Elastica Model for Vector-Valued Image Regularization.
SIAM J. Imaging Sci., 2021

A Multigrid Algorithm for Maxflow and Min-Cut Problems with Applications to Multiphase Image Segmentation.
J. Sci. Comput., 2021

An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications in Surface Smoothing and Imaging.
CoRR, 2021

Generalization Error Analysis of Neural networks with Gradient Based Regularization.
CoRR, 2021

2020
Convexity Shape Prior for Level Set-Based Image Segmentation Method.
IEEE Trans. Image Process., 2020

Volume preserving image segmentation with entropy regularized optimal transport and its applications in deep learning.
J. Vis. Commun. Image Represent., 2020

A Globally Convergent Algorithm for a Constrained Non-Lipschitz Image Restoration Model.
J. Sci. Comput., 2020

Sparse-data based 3D surface reconstruction with vector matching.
CoRR, 2020

Iterative regularization algorithms for image denoising with the TV-Stokes model.
CoRR, 2020

Alternating minimization for a single step TV-Stokes model for image denoising.
CoRR, 2020

Multidimensional TV-Stokes for image processing.
CoRR, 2020

Convex Shape Prior for Deep Neural Convolution Network based Eye Fundus Images Segmentation.
CoRR, 2020

A level set representation method for N-dimensional convex shape and applications.
CoRR, 2020

Convex Shape Representation with Binary Labels for Image Segmentation: Models and Fast Algorithms.
CoRR, 2020

Deep Convolutional Neural Networks with Spatial Regularization, Volume and Star-shape Priori for Image Segmentation.
CoRR, 2020

2019
A New Operator Splitting Method for the Euler Elastica Model for Image Smoothing.
SIAM J. Imaging Sci., 2019

The fusion of panchromatic and multispectral remote sensing images via tensor-based sparse modeling and hyper-Laplacian prior.
Inf. Fusion, 2019

Volume Preserving Image Segmentation with Entropic Regularization Optimal Transport and Its Applications in Deep Learning.
CoRR, 2019

Convex hull algorithms based on some variational models.
CoRR, 2019

A Regularized Convolutional Neural Network for Semantic Image Segmentation.
CoRR, 2019

Variational Model for Depth Estimation from Images.
Proceedings of the 13th International Conference on Software, 2019

A Variational Convex Hull Algorithm.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2019

An Iteration Method for X-Ray CT Reconstruction from Variable-Truncation Projection Data.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2019

Data-driven Method for 3D Axis-symmetric Object Reconstruction from Single Cone-beam Projection Data.
Proceedings of the Third International Symposium on Image Computing and Digital Medicine, 2019

Low-dose X-ray Computed Tomography Image Reconstruction Using Edge Sparsity Regularization.
Proceedings of the Third International Symposium on Image Computing and Digital Medicine, 2019

Regularized UNet for Automated Pancreas Segmentation.
Proceedings of the Third International Symposium on Image Computing and Digital Medicine, 2019

Convex Shape Prior for Multi-Object Segmentation Using a Single Level Set Function.
Proceedings of the 2019 IEEE/CVF International Conference on Computer Vision, 2019

2018
Simplified Energy Landscape for Modularity Using Total Variation.
SIAM J. Appl. Math., 2018

An Effective Region Force for Some Variational Models for Learning and Clustering.
J. Sci. Comput., 2018

Topology-Preserving Image Segmentation by Beltrami Representation of Shapes.
J. Math. Imaging Vis., 2018

2017
New region force for variational models in image segmentation and high dimensional data clustering.
CoRR, 2017

Bregman-Proximal Augmented Lagrangian Approach to Multiphase Image Segmentation.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2017

2016
PDE Based Algorithms for Smooth Watersheds.
IEEE Trans. Medical Imaging, 2016

Convergent Non-overlapping Domain Decomposition Methods for Variational Image Segmentation.
J. Sci. Comput., 2016

Deep Learning for Remote Sensing Image Understanding.
J. Sensors, 2016

2015
Convergence Rate of Overlapping Domain Decomposition Methods for the Rudin-Osher-Fatemi Model Based on a Dual Formulation.
SIAM J. Imaging Sci., 2015

Global Binary Optimization on Graphs for Classification of High-Dimensional Data.
J. Math. Imaging Vis., 2015

Efficient Global Minimization Methods for Image Segmentation Models with Four Regions.
J. Math. Imaging Vis., 2015

Fast algorithm for color texture image inpainting using the non-local CTV model.
J. Glob. Optim., 2015

2014
A spatially continuous max-flow and min-cut framework for binary labeling problems.
Numerische Mathematik, 2014

A new continuous max-flow algorithm for multiphase image segmentation using super-level set functions.
J. Vis. Commun. Image Represent., 2014

Domain Decomposition Methods for Nonlocal Total Variation Image Restoration.
J. Sci. Comput., 2014

Multi-class Transductive Learning Based on ℓ 1 Relaxations of Cheeger Cut and Mumford-Shah-Potts Model.
J. Math. Imaging Vis., 2014

Variational Time-Implicit Multiphase Level-Sets - A Fast Convex Optimization-Based Solution.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2014

Domain Decomposition Methods for Total Variation Minimization.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2014

Maximizing Flows with Message-Passing: Computing Spatially Continuous Min-Cuts.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2014

An Augmented Lagrangian Method for the Microstructure of a Liquid Crystal Model.
Proceedings of the Modeling, Simulation and Optimization for Science and Technology, 2014

2013
Reconstructing Open Surfaces via Graph-Cuts.
IEEE Trans. Vis. Comput. Graph., 2013

A Weighted Dictionary Learning Model for Denoising Images Corrupted by Mixed Noise.
IEEE Trans. Image Process., 2013

A Ridge and Corner Preserving Model for Surface Restoration.
SIAM J. Sci. Comput., 2013

Multilayer graph cuts based unsupervised color-texture image segmentation using multivariate mixed student's t-distribution and regional credibility merging.
Pattern Recognit., 2013

Image Segmentation Using Euler's Elastica as the Regularization.
J. Sci. Comput., 2013

Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models.
Adv. Comput. Math., 2013

Enhancing coded video quality with perceptual foveation driven bit allocation strategy.
Proceedings of the 2013 Visual Communications and Image Processing, 2013

Jointly Segmenting Prostate Zones in 3D MRIs by Globally Optimized Coupled Level-Sets.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2013

A Generic Convexification and Graph Cut Method for Multiphase Image Segmentation.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2013

Convex Relaxations for a Generalized Chan-Vese Model.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2013

Efficient 3D Endfiring TRUS Prostate Segmentation with Globally Optimized Rotational Symmetry.
Proceedings of the 2013 IEEE Conference on Computer Vision and Pattern Recognition, 2013

Simultaneous Convex Optimization of Regions and Region Parameters in Image Segmentation Models.
Proceedings of the Innovations for Shape Analysis, Models and Algorithms, 2013

2012
A Direct Approach Toward Global Minimization for Multiphase Labeling and Segmentation Problems.
IEEE Trans. Image Process., 2012

Augmented Lagrangian Method for Total Variation Based Image Restoration and Segmentation Over Triangulated Surfaces.
J. Sci. Comput., 2012

Augmented Lagrangian Method for Generalized TV-Stokes Model.
J. Sci. Comput., 2012

Geometry of total variation regularized L<sup>p</sup>-model.
J. Comput. Appl. Math., 2012

Domain decomposition methods with graph cuts algorithms for total variation minimization.
Adv. Comput. Math., 2012

Group-Valued Regularization for Analysis of Articulated Motion.
Proceedings of the Computer Vision - ECCV 2012. Workshops and Demonstrations, 2012

2011
Graph Cuts for Curvature Based Image Denoising.
IEEE Trans. Image Process., 2011

A Modified TV-Stokes Model for Image Processing.
SIAM J. Sci. Comput., 2011

A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method.
SIAM J. Imaging Sci., 2011

A fast segmentation method based on constraint optimization and its applications: Intensity inhomogeneity and texture segmentation.
Pattern Recognit., 2011

On Semi-implicit Splitting Schemes for the Beltrami Color Image Filtering.
J. Math. Imaging Vis., 2011

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

Orientation-Matching Minimization for Image Denoising and Inpainting.
Int. J. Comput. Vis., 2011

Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach.
Int. J. Comput. Vis., 2011

Efficient Algorithms for Global Optimisation Methods in Computer Vision (Dagstuhl Seminar 11471).
Dagstuhl Reports, 2011

Compression and denoising using <i>l</i><sub>0</sub>-norm.
Comput. Optim. Appl., 2011

Image denoising and deblurring: non-convex regularization, inverse diffusion and shock filter.
Sci. China Inf. Sci., 2011

Application of splitting scheme and multigrid method for TV-Stokes denoising.
Sci. China Inf. Sci., 2011

Introduction.
Adv. Data Sci. Adapt. Anal., 2011

A Study on Convex Optimization Approaches to Image Fusion.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

A Continuous Max-Flow Approach to Minimal Partitions with Label Cost Prior.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

Robust Edge Detection Using Mumford-Shah Model and Binary Level Set Method.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

Curvature Minimization for Surface Reconstruction with Features.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

Simultaneous Denoising and Illumination Correction via Local Data-Fidelity and Nonlocal Regularization.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

Fast Algorithms for p-elastica Energy with the Application to Image Inpainting and Curve Reconstruction.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

A Fast Augmented Lagrangian Method for Euler's Elastica Model.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

A Fast Algorithm for a Mean Curvature Based Image Denoising Model Using Augmented Lagrangian Method.
Proceedings of the Efficient Algorithms for Global Optimization Methods in Computer Vision, 2011

Fast Regularization of Matrix-Valued Images.
Proceedings of the Efficient Algorithms for Global Optimization Methods in Computer Vision, 2011

A Fast Continuous Max-Flow Approach to Non-convex Multi-labeling Problems.
Proceedings of the Efficient Algorithms for Global Optimization Methods in Computer Vision, 2011

2010
A Level Set Formulation of Geodesic Curvature Flow on Simplicial Surfaces.
IEEE Trans. Vis. Comput. Graph., 2010

Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models.
SIAM J. Imaging Sci., 2010

Fast image segmentation based on multilevel banded closed-form method.
Pattern Recognit. Lett., 2010

Reservoir description using a binary level set model.
Comput. Vis. Sci., 2010

Mesh Snapping: Robust Interactive Mesh Cutting Using Fast Geodesic Curvature Flow.
Comput. Graph. Forum, 2010

A Continuous Max-Flow Approach to Potts Model.
Proceedings of the Computer Vision - ECCV 2010, 2010

Polyakov Action Minimization for Efficient Color Image Processing.
Proceedings of the Trends and Topics in Computer Vision, 2010

A study on continuous max-flow and min-cut approaches.
Proceedings of the Twenty-Third IEEE Conference on Computer Vision and Pattern Recognition, 2010

2009
A Unified Framework for Automated 3-D Segmentation of Surface-Stained Living Cells and a Comprehensive Segmentation Evaluation.
IEEE Trans. Medical Imaging, 2009

Image Segmentation Based on GrabCut Framework Integrating Multiscale Nonlinear Structure Tensor.
IEEE Trans. Image Process., 2009

A Saddle Point Approach to the Computation of Harmonic Maps.
SIAM J. Numer. Anal., 2009

Scale-Space Analysis of Discrete Filtering over Arbitrary Triangulated Surfaces.
SIAM J. Imaging Sci., 2009

Four-Color Theorem and Level Set Methods for Watershed Segmentation.
Int. J. Comput. Vis., 2009

A dual algorithm for minimization of the LLT model.
Adv. Comput. Math., 2009

L0-Norm and Total Variation for Wavelet Inpainting.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

Image Denoising Using TV-Stokes Equation with an Orientation-Matching Minimization.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

On Level-Set Type Methods for Recovering Piecewise Constant Solutions of Ill-Posed Problems.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

On Semi-implicit Splitting Schemes for the Beltrami Color Flow.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

Graph Cut Optimization for the Piecewise Constant Level Set Method Applied to Multiphase Image Segmentation.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

Efficient Global Minimization for the Multiphase Chan-Vese Model of Image Segmentation.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2009

An Algorithm of Texture Image Segmentation by Piecewise Constant Level Set Method Based on Image Decomposition.
Proceedings of the CSIE 2009, 2009 WRI World Congress on Computer Science and Information Engineering, March 31, 2009

2007
A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration.
J. Sci. Comput., 2007

Image Segmentation Using Some Piecewise Constant Level Set Methods with MBO Type of Projection.
Int. J. Comput. Vis., 2007

Level Set Method for Positron Emission Tomography.
Int. J. Biomed. Imaging, 2007

Level Set Methods for Watershed Image Segmentation.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

A TV-Stokes Denoising Algorithm.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

Piecewise Constant Level Set Method for 3D Image Segmentation.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

2006
A binary level set model and some applications to Mumford-Shah image segmentation.
IEEE Trans. Image Process., 2006

A variant of the level set method and applications to image segmentation.
Math. Comput., 2006

Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional.
Int. J. Comput. Vis., 2006

2005
Piecewise Constant Level Set Methods and Image Segmentation.
Proceedings of the Scale Space and PDE Methods in Computer Vision, 2005

2004
Noise removal using smoothed normals and surface fitting.
IEEE Trans. Image Process., 2004

2003
Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time.
IEEE Trans. Image Process., 2003

Identification of Discontinuous Coefficients in Elliptic Problems Using Total Variation Regularization.
SIAM J. Sci. Comput., 2003

Convergence Rate Analysis of a Multiplicative Schwarz Method for Variational Inequalities.
SIAM J. Numer. Anal., 2003

Rate of Convergence for some constraint decomposition methods for nonlinear variational inequalities.
Numerische Mathematik, 2003

2002
A Robust Finite Element Method for Darcy-Stokes Flow.
SIAM J. Numer. Anal., 2002

Superconvergence for the Gradient of Finite Element Approximations by <i>L</i><sup>2</sup> Projections.
SIAM J. Numer. Anal., 2002

Global and uniform convergence of subspace correction methods for some convex optimization problems.
Math. Comput., 2002

Convergence rate analysis of an asynchronous space decomposition method for convex Minimization.
Math. Comput., 2002

Level set methods for a parameter identification problem.
Proceedings of the Analysis and Optimization of Differential Systems, 2002

Domain Decomposition and Multigrid Methods for Obstacle Problems.
Proceedings of the Computational Science - ICCS 2002, 2002

2001
A robust nonconforming H<sup>2</sup>-element.
Math. Comput., 2001

Convergence rate analysis of domain decomposition methods for obstacle problems.
J. Num. Math., 2001

1998
A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems.
Numer. Algorithms, 1998

1992
Global extrapolation with a parallel splitting method.
Numer. Algorithms, 1992


  Loading...