Xue-Cheng Tai | DeepAI

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Featured Co-authors

Yang Wang
233 publications
Jun Liu
179 publications
Hao Liu
150 publications
Qi Wang
125 publications
Ron Kimmel
52 publications
Haifeng Li
51 publications
Tieyong Zeng
35 publications
Andrea L. Bertozzi
27 publications
Jiang Yang
20 publications
Raymond Chan
12 publications
Shi Yan
11 publications

∙ 08/25/2023

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

The Euler Elastica (EE) model with surface curvature can generate artifa...

0 Zhifang Liu, et al. ∙

∙ 07/18/2023

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

Deep neural network is a powerful tool for many tasks. Understanding why...

0 Hao Liu, et al. ∙

∙ 07/18/2023

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

For problems in image processing and many other fields, a large class of...

0 Xue-Cheng Tai, et al. ∙

∙ 08/02/2022

A uniform preconditioner for a Newton algorithm for total-variation minimization and minimum-surface problems

Solution methods for the nonlinear partial differential equation of the ...

0 Xue-Cheng Tai, et al. ∙

∙ 06/15/2022

Priori Error Estimate of Deep Mixed Residual Method for Elliptic PDEs

In this work, we derive a priori error estimate of the mixed residual me...

0 Lingfeng Li, et al. ∙

∙ 03/22/2022

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

This paper focuses on the issue of image segmentation with convex shape ...

0 Shousheng Luo, et al. ∙

∙ 03/18/2022

Elastica Models for Color Image Regularization

One classical approach to regularize color is to tream them as two dimen...

2 Hao Liu, et al. ∙

∙ 03/05/2022

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

UNet and its variants are among the most popular methods for medical ima...

0 Yumeng Ren, et al. ∙

∙ 08/04/2021

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

Gaussian curvature is an important geometric property of surfaces, which...

10 Hao Liu, et al. ∙

∙ 07/06/2021

Generalization Error Analysis of Neural networks with Gradient Based Regularization

We study gradient-based regularization methods for neural networks. We m...

0 Lingfeng Li, et al. ∙

∙ 10/31/2020

Overlapping Domain Decomposition Methods for Ptychographic Imaging

In ptychography experiments, redundant scanning is usually required to g...

0 Huibin Chang, et al. ∙

∙ 09/28/2020

Sparse-data based 3D surface reconstruction with vector matching

Three dimensional surface reconstruction based on two dimensional sparse...

0 Bin Wu, et al. ∙

∙ 09/24/2020

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

We propose a set of iterative regularization algorithms for the TV-Stoke...

5 Bin Wu, et al. ∙

∙ 09/24/2020

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

The paper presents a fully coupled TV-Stokes model, and propose an algor...

0 Bin Wu, et al. ∙

∙ 09/24/2020

Multidimensional TV-Stokes for image processing

A complete multidimential TV-Stokes model is proposed based on smoothing...

0 Bin Wu, et al. ∙

∙ 08/19/2020

A Color Elastica Model for Vector-Valued Image Regularization

Models related to the Euler's Elastica energy have proven to be very use...

2 Hao Liu, et al. ∙

∙ 05/15/2020

Convex Shape Prior for Deep Neural Convolution Network based Eye Fundus Images Segmentation

Convex Shapes (CS) are common priors for optic disc and cup segmentation...

5 Jun Liu, et al. ∙

∙ 03/21/2020

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

In this work, we present a new efficient method for convex shape represe...

16 Lingfeng Li, et al. ∙

∙ 02/22/2020

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

We present a novel and effective binary representation for convex shapes...

0 Shousheng Luo, et al. ∙

∙ 02/10/2020

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

We use Deep Convolutional Neural Networks (DCNNs) for image segmentation...

20 Jun Liu, et al. ∙

∙ 09/22/2019

Volume Preserving Image Segmentation with Entropic Regularization Optimal Transport and Its Applications in Deep Learning

Image segmentation with a volume constraint is an important prior for ma...

11 Haifeng Li, et al. ∙

∙ 08/09/2019

Convex hull algorithms based on some variational models

Seeking the convex hull of an object is a very fundamental problem arisi...

8 Lingfeng Li, et al. ∙

∙ 05/22/2018

Convexity Shape Prior for Level Set based Image Segmentation Method

We propose a geometric convexity shape prior preservation method for var...

0 Shi Yan, et al. ∙

∙ 07/28/2017

Simplified Energy Landscape for Modularity Using Total Variation

Networks capture pairwise interactions between entities and are frequent...

0 Zachary Boyd, et al. ∙

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