Total Variant Image Deblurring Based on Split Bregman Method

doi:10.3969/j.issn.0372-2112.2012.08.002

您当前的位置：

首页 >

文章列表页 >

Total Variant Image Deblurring Based on Split Bregman Method

更新时间：2025-07-08

- Total Variant Image Deblurring Based on Split Bregman Method
- Acta Electronica Sinica Vol. 40, Issue 8, Pages: 1503-1508(2012)
- 作者机构：
  
  1. 中国科学院研究生院计算与通信工程学院,北京,100049
  2. 北京联合大学信息学院,北京,100101
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2012.08.002
  CLC： TN391
- Published：2012
- 稿件说明：
移动端阅览
Total Variant Image Deblurring Based on Split Bregman Method[J]. Acta Electronica Sinica, 2012, 40(8): 1503-1508.
DOI：

Total Variant Image Deblurring Based on Split Bregman Method[J]. Acta Electronica Sinica, 2012, 40(8): 1503-1508. DOI： 10.3969/j.issn.0372-2112.2012.08.002.

摘要

针对全变差图像去模糊问题

提出一种基于分裂Bregman方法的全变差图像去模糊算法

利用分裂Bregman方法来优化其求解问题模型.首先

利用辅助变量及其二次惩罚泛函把全变差去模糊优化问题转化为一个等价的无约束优化问题;其次

基于Bregman迭代将其分解为两个子优化问题采用交替最小化方法进行求解;最后

根据子问题结构特点

采用离散傅立叶变换及收缩技术实现子优化问题的快速计算.实验结果表明

在不同尺寸模糊核条件下本文算法能获得有效、稳定的图像复原结果

相比FTVd、IRN去模糊方法

本文算法复原效果更好

计算更加快速.

Abstract

For total variant image deblurring problem

it was proposed a total variant image deblurring algorithm based on split bregman method

which applied split bregman method to optimizing and solving the problem model.Firstly

taken advantage of auxiliary variable and quadratic penalty function

total variant image deblurring optimization problem was converted into a unconstraint optimization problem.Secondly

based on Bregman iterative

the problem was divided into two sub-problems and use the alternative minimization method to solving.Thirdly

according to the characteristic of subproblem structure

the Discrete Fourier Transform and Shrinkage technologies were used to implement the fast computation of sub-problems.The experimental results indicate that with different size blurry kernels

our algorithm can recover image effectively and steadily.Furthermore

compraring with FTVd and IRN deblurring methods

our algorithm can obtain better recovery results

and compute faster.

关键词

Keywords

references

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

The Split Bregman Method for L1 Projection Problems

A Variational Model for Image Decomposition Based on Wavelet Method

Total Variation Image Denoising Algorithm Based on Graph Cut

Related Author

QIU Tian-shuang

WANG Ai-qi

FENG Xiang-chu

LI Ya-feng

LI Deng-feng

JIAO Li-cheng

YANG Xiao-hui

FENG Xiang-chu

Related Institution

School of Mathematics and physicsDalian Jiaotong UniversityDalianLiaoning 116028China

Faculty of Electronic Information and Electrical EngineeringDalian University of TechnologyDalianLiaoning 116024China

School of Mathematics and physics,Dalian Jiaotong University

Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology

Department of Applied Mathematics,Xidian University

⁰