26 citations · 75 across the 19 of their papers we have counts for
19 papers
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 stochastic preconditioned Douglas-Rachford splitting method for saddle-point problems
Yakun Dong, Kristian Bredies, Hongpeng Sun
In this article, we propose and study a stochastic and relaxed preconditioned Douglas--Rachford splitting method to solve saddle-point problems that have separable dual variables.…
A Preconditioned Alternating Minimization Framework for Nonconvex and Half Quadratic Optimization
Shengxiang Deng, Ismail Ben Ayed, Hongpeng Sun
For some typical and widely used non-convex half-quadratic regularization models and the Ambrosio-Tortorelli approximate Mumford-Shah model, based on the Kurdyka-Łojasiewicz analys…
Variational Image Motion Estimation by Accelerated Dual Optimization
Hongpeng Sun, Xue-Cheng Tai, Jing Yuan
Estimating optical flows is one of the most interesting problems in computer vision, which estimates the essential information about pixel-wise displacements between two consecutiv…
An Efficient Augmented Lagrangian Method with Semismooth Newton Solver for Total Generalized Variation
Hongpeng Sun
Total generalization variation (TGV) is a very powerful and important regularization for various inverse problems and computer vision tasks. In this paper, we proposed a semismooth…
Efficient ADMM and Splitting Methods for Continuous Min-cut and Max-flow Problems
Hongpeng Sun, Xuecheng Tai, Jing Yuan
The Potts model has many applications. It is equivalent to some min-cut and max-flow models. Primal-dual algorithms have been used to solve these problems. Due to the special struc…
Dualization and Automatic Distributed Parameter Selection of Total Generalized Variation via Bilevel Optimization
Michael Hintermüller, Kostas Papafitsoros, Carlos N. Rautenberg +1
Total Generalized Variation (TGV) regularization in image reconstruction relies on an infimal convolution type combination of generalized first- and second-order derivatives. This…
A Preconditioned Difference of Convex Algorithm for Truncated Quadratic Regularization with Application to Imaging
Shengxiang Deng, Hongpeng Sun
We consider the minimization problem with the truncated quadratic regularization with gradient operator, which is a nonsmooth and nonconvex problem. We cooperated the classical pre…
An Investigation on Semismooth Newton based Augmented Lagrangian Method for Image Restoration
Hongpeng Sun
Augmented Lagrangian method (also called as method of multipliers) is an important and powerful optimization method for lots of smooth or nonsmooth variational problems in modern s…
Sparse Reconstructions of Acoustic Source for Inverse Scattering Problems in Measure Space
Xueshuang Xiang, Hongpeng Sun
This paper proposes a systematic mathematical analysis of both the direct and inverse acoustic scattering problem given the source in Radon measure space. For the direct problem, w…
On an inverse elastic wave imaging scheme for nearly incompressible materials
Li Jingzhi, Liu Hongyu, Sun Hongpeng
This paper is devoted to the algorithmic development of inverse elastic scattering problems. We focus on reconstructing the locations and shapes of elastic scatterers with known di…
On a gesture-computing technique using electromagnetic waves
Jingzhi Li, Hongyu Liu, Hongpeng Sun
This paper is concerned with a conceptual gesture-based instruction/input technique using electromagnetic wave detection. The gestures are modelled as the shapes of some impenetrab…
Analysis of Fully Preconditioned ADMM with Relaxation in Hilbert Spaces
Hongpeng Sun
Alternating direction method of multipliers (ADMM) is a powerful first order methods for various applications in signal processing and imaging. However, there is no clear result on…
Accelerated Douglas-Rachford methods for the solution of convex-concave saddle-point problems
Kristian Bredies, Hongpeng Sun
We study acceleration and preconditioning strategies for a class of Douglas-Rachford methods aiming at the solution of convex-concave saddle-point problems associated with Fenchel-…
Inverse Elastic Scattering for Multiscale Rigid Bodies with A Single Far-field Pattern
Guanghui Hu, Jingzhi Li, Hongyu Liu +1
We develop three inverse elastic scattering schemes for locating multiple small, extended and multiscale rigid bodies, respectively. There are some salient and promising features o…
Two Single-shot Methods for Locating Multiple Electromagnetic Scatterers
Jingzhi Li, Hongyu Liu, Zaijiu Shang +1
We develop two inverse scattering schemes for locating multiple electromagnetic (EM) scatterers by the electric far-field measurement corresponding to a single incident/detecting p…
Singular perturbation of reduced wave equation and scattering from an embedded obstacle
Hongyu Liu, Zaijiu Shang, Hongpeng Sun +1
We consider time-harmonic wave scattering from an inhomogeneous isotropic medium supported in a bounded domain (). {In a subregion , the…
Enhanced Near-cloak by FSH Lining
Hongyu Liu, Hongpeng Sun
We consider regularized approximate cloaking for the Helmholtz equation. Various cloaking schemes have been recently proposed and extensively investigated. The existing cloaking sc…
Enhanced Approximate Cloaking by SH and FSH Lining
Jingzhi Li, Hongyu Liu, Hongpeng Sun
We consider approximate cloaking from a regularization viewpoint introduced in [13] for EIT and further investigated in [12] [17] for the Helmholtz equation. The cloaking schemes i…