An Improved Total Variation for Image Denoising Based on Compressed Sensing

XU Li-jun; YANG Qiu-xiang; LEI Hai-wei

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An Improved Total Variation for Image Denoising Based on Compressed Sensing

更新时间：2026-09-04

- An Improved Total Variation for Image Denoising Based on Compressed Sensing
- Vol. 33, Issue 6, Pages: 100-103(2016)
- 作者机构：
  
  中北大学机构计算机与控制工程学院,山西,太原,030051
- 作者简介：
- 基金信息：
- DOI：
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- Published：2016
- 稿件说明：
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徐立军, 杨秋翔, 雷海卫. 一种基于压缩感知的改进全变分图像去噪方法[J]. 微电子学与计算机, 2016, 33(6): 100-103.

XU Li-jun, YANG Qiu-xiang, LEI Hai-wei. An Improved Total Variation for Image Denoising Based on Compressed Sensing[J]. 2016, 33(6): 100-103.
徐立军, 杨秋翔, 雷海卫. 一种基于压缩感知的改进全变分图像去噪方法[J]. 微电子学与计算机, 2016, 33(6): 100-103. DOI：

XU Li-jun, YANG Qiu-xiang, LEI Hai-wei. An Improved Total Variation for Image Denoising Based on Compressed Sensing[J]. 2016, 33(6): 100-103. DOI：

摘要

提出了一种基于压缩感知理论的改进的全变分算法来实现图像的去噪.该方法中

首先对含噪图像进行稀疏表示

然后采用高斯随机矩阵进行测量

最后通过全变分(TV)算法重建图像.仿真实验表明

与传统的去噪方法相比

该方法能有效地去除图像中的噪声

获得更高的峰值信噪比

并且图像的边缘细节得到了很好的保护

验证了算法的有效性.

Abstract

This paper uses the improved total variation for image denosing based on compressed sending. In this method

nosiy image is transformed and sensed through a Gaussian random projection

then original images is reconstructed using the total variation reconstruction algorithms. Simulation experiments show that comparing to the original method

the method can eliminate the noise in image effectively and get a higher peak signal to noise ratio

and the image detail can be well protected and proves the effeciency of the algorithm.

关键词

Keywords

references

Tropp J A, Gilbert A C. Signal recovery from random measurements via orthogonal matching pursuit[J]. IEEE Transactions on Information Theory, 2007, 53(12): 4655-4666. DOI: 4655

Candes E, Romberg J. Sparsity and Incoherence in Compressive Sampling[J]. Inverse problems, 2007, 23(3): 969-985. DOI: 969

Bo Han, Jintao Xiong, Jianyu Yang. Research on millimeter-wave image denoising method based on contourlet and compressed sensing[J]. IEEE International Conference on Signal Processing Systems, 2010, 1(2): 471-475. DOI: 471

何坤, 林涛, 琚生根, 等. TV数值计算的图像去噪[J]. 电子科技大学学报, 2013, 42(3): 459-463. DOI: 459

焦李成, 杨淑媛, 刘芳, 等. 压缩感知回顾与展望[J]. 电子学报, 2011, 39(7): 1651-1662 DOI: 1651

谢殿广, 杨进华, 申琳, 等. 基于改进的自适应全变差模型的图像去噪算法[J]. 长春理工大学学报(自然科学版), 2010, 33(4): 98-100. DOI: 98

刘国庆, 林京. 基于单层小波变换的自适应压缩感知图像处理[J]. 合肥工业大学学报(自然科学版), 2012, 35(1): 141-144. DOI: 141

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