基于小波域Curvelet变换的湍流图像去噪算法

王珺楠; 邱欢; 张丽娟; 李阳; 刘颖

doi:10.3788/YJYXS20173211.0905

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基于小波域Curvelet变换的湍流图像去噪算法

图像处理 | 更新时间：2020-08-12

- 基于小波域Curvelet变换的湍流图像去噪算法
- Atmospheric turbulence image denoising algorithm based on wavelet-domain curvelet transform
- 液晶与显示 2017年32卷第11期页码：905-913
- 作者机构：
  
  1.长春工业大学计算机科学与工程学院, 吉林长春 130012
  2.吉林财经大学管理科学与信息工程学院, 吉林长春 130117
- 作者简介：
  
  [ "王珺楠(1981-), 男, 吉林桦甸人, 硕士, 讲师, 2005年于长春工业大学获得学士学位, 2013年于长春工业大学获得硕士学位, 主要从事计算机应用及图像处理方面的研究。E-mail:jsj@ccut.edu.cn" ]
  [ "张丽娟(1978-), 女, 吉林梅河口人, 博士, 副教授, 2001年于吉林师范大学获得学士学位, 2004年于长春理工大学获得硕士学位, 2015年于长春理工大学获得博士学位, 主要从事计算机视觉及光学图像处理等方面研究。E-mail:zhanglijuan@ccut.edu.cn" ]
- 基金信息：
  
  国家自然科学基金(61402193);吉林省教育厅科学技术研究规划项目(JJKH20170575KJ);National Natural Science Foundation of China(61402193);Scientific and Technological Research Project of the Department of Education in Jilin Province(JJKH20170575KJ)
- DOI：10.3788/YJYXS20173211.0905
  中图分类号： TP391.4
- 收稿日期：2017-06-01，
  
  录用日期：2017-8-14，
  
  纸质出版日期：2017-11-05
- 稿件说明：
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王珺楠, 邱欢, 张丽娟, 等. 基于小波域Curvelet变换的湍流图像去噪算法[J]. 液晶与显示, 2017,32(11):905-913.

Jun-nan WANG, Huan QIU, Li-juan ZHANG, et al. Atmospheric turbulence image denoising algorithm based on wavelet-domain curvelet transform[J]. Chinese journal of liquid crystals and displays, 2017, 32(11): 905-913.
王珺楠, 邱欢, 张丽娟, 等. 基于小波域Curvelet变换的湍流图像去噪算法[J]. 液晶与显示, 2017,32(11):905-913. DOI： 10.3788/YJYXS20173211.0905.

Jun-nan WANG, Huan QIU, Li-juan ZHANG, et al. Atmospheric turbulence image denoising algorithm based on wavelet-domain curvelet transform[J]. Chinese journal of liquid crystals and displays, 2017, 32(11): 905-913. DOI： 10.3788/YJYXS20173211.0905.

摘要

为了提高湍流图像的空间分辨率，提出了一种基于小波域Curvelet变换（wavelet domain Curvelet transform，WDCT）的湍流图像去噪算法。该算法根据湍流退化图像噪声的统计特性，结合贝叶斯萎缩方法优化阈值选择。首先，对含噪湍流图像进行单层二维离散小波变换，接着提取高频系数并对它作快速离散Curvelet变换，最后根据贝叶斯准则估计阈值

，改进阈值的自适应选取方法，获得最优阈值，最后给出湍流图像去噪实现过程。为验证本文算法，根据客观评价标准峰值信噪比（peak signal to noise ratio，PSNR）和均方根误差（mean square error，MSE），对模拟图像和实测湍流图像进行去噪实验。与DWT-NABayesShrink算法、UWT算法相比，视觉效果更好，PSNR值分别提高7.27%和4.92%，MSE值分别降低26.3%和23.1%。本文算法得到较清晰的目标图像，对湍流退化图像去噪有一定的应用价值。

Abstract

To enhance the spatial resolution of the atmospheric turbulence image

an atmospheric turbulence image denoising algorithm based on wavelet domain Curvelet transform (WDCT) is proposed in this paper. This algorithm bases on the statistical property of the image noise and combines with Bayes Shrink theory to optimize threshold selecting. Firstly

the turbulence degraded image is performed to a single 2-D discrete wavelet transform (2-D DWT)

then extracts the high frequency coefficients and make the fast discrete Curvelet transform for the degraded image. Finally

we estimate the threshold value

according to the Bayesian criterion

and improve the adaptive method of selecting threshold

obtain the optimized threshold. Therefore

the implementation process of the proposed algorithm is addressed. In order to verify the effectiveness of the proposed denoising method

basing on the objective evaluation that are the peak signal to noise ratio (PSNR) and mean square error (MSE)

a series of denoising experiments are performed on simulated images and practical observed turbulence image. The experiment results show that

compared to DWT-NABayesShrink method and UDWT method

the visual effect is better

PSNR value has improved 7.27% and 4.92%

respectively

and MSE value are degraded 26.3% and 23.1%

respectively. Our algorithm can obtain the clear image

so the research results have application values for turbulence image denoising work.

关键词

Keywords

references

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