58 citations · 110 across the 31 of their papers we have counts for
12 papers · 1 filter
Preconditioned Algorithm for Difference of Convex Functions with applications to Graph Ginzburg-Landau Model
Xinhua Shen, Hongpeng Sun, Xuecheng Tai
In this work, we propose and study a preconditioned framework with a graphic Ginzburg-Landau functional for image segmentation and data clustering by parallel computing. Solving no…
A uniform preconditioner for a Newton algorithm for total-variation minimization and minimum-surface problems
Xue-Cheng Tai, Ragnar Winther, Xiaodi Zhang +1
Solution methods for the nonlinear partial differential equation of the Rudin-Osher-Fatemi (ROF) and minimum-surface models are fundamental for many modern applications. Many effic…
Priori Error Estimate of Deep Mixed Residual Method for Elliptic PDEs
Lingfeng Li, Xue-cheng Tai, Jiang Yang +1
In this work, we derive a priori error estimate of the mixed residual method when solving some elliptic PDEs. Our work is the first theoretical study of this method. We prove that…
Overlapping Domain Decomposition Methods for Ptychographic Imaging
Huibin Chang, Roland Glowinski, Stefano Marchesini +3
In ptychography experiments, redundant scanning is usually required to guarantee the stable recovery, such that a huge amount of frames are generated, and thus it poses a great dem…
Alternating minimization for a single step TV-Stokes model for image denoising
Bin Wu, Xue-Cheng Tai, Talal Rahman
The paper presents a fully coupled TV-Stokes model, and propose an algorithm based on alternating minimization of the objective functional whose first iteration is exactly the modi…
Sparse-data based 3D surface reconstruction with vector matching
Bin Wu, Xue-Cheng Tai, Talal Rahman
Three dimensional surface reconstruction based on two dimensional sparse information in the form of only a small number of level lines of the surface with moderately complex struct…
Multidimensional TV-Stokes for image processing
Bin Wu, Xue-Cheng Tai, Talal Rahman
A complete multidimential TV-Stokes model is proposed based on smoothing a gradient field in the first step and reconstruction of the multidimensional image from the gradient field…
Iterative regularization algorithms for image denoising with the TV-Stokes model
Bin Wu, Leszek Marcinkowski, Xue-Cheng Tai +1
We propose a set of iterative regularization algorithms for the TV-Stokes model to restore images from noisy images with Gaussian noise. These are some extensions of the iterative…
Convex Shape Representation with Binary Labels for Image Segmentation: Models and Fast Algorithms
Shousheng Luo, Xue-Cheng Tai, Yang Wang
We present a novel and effective binary representation for convex shapes. We show the equivalence between the shape convexity and some properties of the associated indicator functi…
Data-driven Method for 3D Axis-symmetric Object Reconstruction from Single Cone-beam Projection Data
Shousheng Luo, Ruyue Meng, Suhua Wei +3
In this paper we consider 3D axis-symmetric (AS) object reconstruction from single cone-beam x-ray projection data. Traditional x-ray CT fails to capture fleeting state of material…
A New Operator Splitting Method for Euler's Elastica Model
Liang-Jian Deng, Roland Glowinski, Xue-Cheng Tai
Euler's elastica model has a wide range of applications in Image Processing and Computer Vision. However, the non-convexity, the non-smoothness and the nonlinearity of the associat…
Convex Shape Priors for Level Set Representation
Shousheng Luo, Xue-cheng Tai
For many applications, we need to use techniques to represent convex shapes and objects. In this work, we use level set method to represent shapes and find a necessary and sufficie…