基于低秩矩阵补全的单幅图像去雨算法

朱鉴; 刘培钰; 陈炳丰; 蔡瑞初

doi:10.12052/gdutxb.200023

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基于低秩矩阵补全的单幅图像去雨算法

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- 基于低秩矩阵补全的单幅图像去雨算法
- Single Image De-raining Based on Low-rank Matrix Completion
- 广东工业大学学报 2020年37卷第4期页码：1-8
- 作者机构：
  
  广东工业大学计算机学院,广东,广州,510006
- 作者简介：
  
  朱鉴(1982–)，男，副教授，博士，主要研究方向为计算机图形学、数字图像处理
  陈炳丰(1983–)，男，讲师，博士，主要研究方向为数字图像处理，E-mail：chenbf@gdut.edu.cn
- 基金信息：
  
  国家自然科学基金资助项目(61502109，61702112，61672502);广东省自然科学基金资助项目(2016A030310342);广东省信息物理融合系统重点实验室开放课题(2016B030301008);广东省科技计划项目(2016A040403078，2017B010110015，2017B010110007);广州市珠江科技新星资助项目(201610010101);广州市科技计划项目(201604016075)
- DOI：10.12052/gdutxb.200023
  中图分类号： TP391
- 网络首发：2020-07-11，
  
  纸质出版：2020
- 稿件说明：
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朱鉴, 刘培钰, 陈炳丰, 蔡瑞初. 基于低秩矩阵补全的单幅图像去雨算法[J]. 广东工业大学学报, 2020, 37(4): 1-8.

Zhu Jian, Liu Pei-yu, Chen Bing-feng, et al. Single Image De-raining Based on Low-rank Matrix Completion[J]. 2020, 37(4): 1-8.
朱鉴, 刘培钰, 陈炳丰, 蔡瑞初. 基于低秩矩阵补全的单幅图像去雨算法[J]. 广东工业大学学报, 2020, 37(4): 1-8. DOI： 10.12052/gdutxb.200023.

Zhu Jian, Liu Pei-yu, Chen Bing-feng, et al. Single Image De-raining Based on Low-rank Matrix Completion[J]. 2020, 37(4): 1-8. DOI： 10.12052/gdutxb.200023.

摘要

提出一种基于低秩矩阵补全的单幅图像去雨算法

该算法采用检测、修补、优化的三阶段策略。在检测雨阶段

利用雨的亮度先验信息构建检测雨模型; 在修补阶段

先采用相似块匹配算法构造相似块矩阵

再利用其具有低秩属性的特点

将去雨问题转化为低秩矩阵补全问题; 在优化阶段

提出修正策略进一步提升去雨效果和客观度量值。在合成雨图和真实雨图上验证算法

实验结果表明

该算法表现出较好的去雨效果

且对大雨图像的处理也较为满意

相比其他方法在客观度量值和主观视觉上均有一定的优势。

Abstract

A single image de-raining algorithm based on low rank matrix completion is proposed. The algorithm adopts the three-stage strategy of detection

repair and optimization. In the rain detection stage

the rain intensity information is used as a prior to build a detection model. In the repair stage

a similar patch matching algorithm is first used to construct a similar patch matrix

and then the problem of de-raining is transformed into the task of low-rank matrix completion based on its low-rank attribute. In the optimization stage

a correction strategy is adopted to further improve the de-raining effect and objective measurements. The algorithm is verified on synthetic rain images and real rain images. Experimental results show that the algorithm shows a good rain removal effect

and the processing of heavy rain images is also satisfactory. Compared with other methods

it has certain advantages in both objective metrics and subjective visual quality.

关键词

Keywords

references

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