非下采样Contourlet变换域统计模型红外图像去噪

对红外图像进行非下采样 Contourlet 变换, 分析其系数的统计特征, 采用广义高斯分布来模拟系数的概率分布。根据非下采样 Contourlet 变换的带通子带各方向能量不同的特点, 提出修正的贝叶斯阈值公式, 为了克服软、硬阈值函数的缺点, 又提出一种具有可调节自适应性的新阈值函数, 最后利用新阈值函数估计出不含噪声的变换系数, 并通过非下采样 Contourlet 逆变换得到去噪后的红外图像。仿真实验表明, 文中方法在峰值信噪比及视觉效果上均优于经典的小波阈值去噪算法。

Abstract

Infrared image with white Gaussian noise is processed by nonsubsampled Contourlet transform. The statistical characteristic of its coefficients is analyzed and generalized Gaussian distribution is used to describe the probability distribution for coefficients. According to characteristics of different energies in each direction of the nonsubsampled Contourlet transform bandpass subbands, a modified Bayesian threshold formula is proposed. In order to overcome the shortcoming of the soft and hard thresholding function, then a new adjustable and adaptive thresholding function is presented. Lastly, the new thresholding function is used to estimate coefficients without noise, and inverse nonsubsampled Contourlet transformation is performed to get denoised infrared image. Experimental results show that our denoising algorithm outperforms the usual wavelet threshold denoising method in peak signal-to-noise ratio and visual quality.

参考文献

[1] DONOHO D L. Denoising by Soft-thresholding [J]. IEEE Transactions on Information Theory(S0018-9448), 1995, 41(3)： 613-627.

[2] 宫宵霖, 毛瑞全, 刘开华. 基于边缘检测的邻域加窗图像去噪算法 [J]. 光电工程, 2009, 36(11)：112-117.

GONG Xiao-lin, MAO Rui-quan, LIU Kai-hua. Image De-noising Algorithm Based on Edge Detection with Neighborhood Weighed Window [J]. Opto-Electronic Engineering, 2009, 36(11)：112-117.

[3] LEVENT S, IVAN W S. Bivariate Shrinkage With Local Variance Estimation [J]. IEEE Signal Processing Letters(S1070-9908), 2002, 9(12)：438-441.

[4] 励金祥, 林剑辉, 尹曹谦, 等. 基于粒子群优化的多小波图像降噪 [J]. 光电工程, 2011, 38(11)：119-123.

LI Jin-xiang, LIN Jian-hui, YIN Cao-qian, et al. Image Denoising in Multi-wavelet Domain Based on Particle Swarm Optimization [J]. Opto-Electronic Engineering, 2011, 38(11)：119-123.

[5] 焦李成, 谭山. 图像的多尺度几何分析：回顾和展望 [J]. 电子学报, 2003, 31(12A)：1975-1981.

JIAO Li-cheng, TAN Shan. Development and Prospect of Image Multiscale Geometric Analysis [J]. Acta Electronica Sinica, 2003, 31(12A)：1975-1981.

[6] DO M N, VETTERLI M. The Contourlet transform：An Efficient Directional Multiresolution Image Representation [J]. IEEE Transactions on Image Processing(S1057-7149), 2005, 14(12)：2091-2106.

[7] CUNHA A L, ZHOU Jian-ping, DO M N. The Nonsubsampled Contourlet Transform：Theory, Design and Application [J]. IEEE Transactions on Image Processing S1057-7149), 2006, 15(10)：3089-3101.

[8] 贾建, 焦李成, 项海林. 基于双变量阈值的非下采样 Contourlet 变换图像去噪 [J]. 电子与信息学报, 2 009, 31(3)：532-536.

JIA Jian, JIAO Li-cheng, XIANG Hai-lin. Using Bivariate Threshold Function for Image Denoising in NSCT Domain [J]. Journal of Electronics & Information Technology, 2009, 31(3)：532-536.

[9] 常霞, 焦李成, 刘芳, 等. 基于斑点方差估计的非下采样 Contourlet 域 SAR 图像去噪 [J]. 电子学报, 2010, 38(6)： 1328-1333.

CHANG Xia, JIAO Li-cheng, LIU Fang, et al. SAR Image Despeckling Based on the Estimation of Speckle Variance in Nonsubsampled Contourlet Domain [J]. Acta Electronica Sinica, 2010, 38(6)：1328-1333.

[10] CHANG S G, YU Bin, VETTERLI Martin. Adaptive Wavelet Thresholding for Image Denoising and Compression [J]. IEEE Transactions on Image Processing(S1057-7149), 2000, 9(9)：1532-1546.

[11] BURCE A G, GAO H Y. Understanding Waveshrink：Variance and Bias Estimation [J]. Biometrika(S0006-3444), 1996, 83(4)： 727-745.

[12] 李迎春, 孙继平, 付兴建. 基于小波变换的红外图像去噪 [J]. 激光与红外, 2006, 36(10)：988-991.

LI Ying-chun, SUN Ji-ping, FU Xing-jian. Infrared Image Denoising Based On Wavelet Transform [J]. Laser and Infrared, 2006, 36(10)：988-991.

[13] 杨恢先, 王旭四, 谢鹏鹤, 等. 改进阈值与尺度间相关的小波红外图像去噪 [J]. 自动化学报, 2011, 37(10)：1167-1174.

YANG Hui-xian, WANG Xu-si, XIE Peng-he, et al. Infrared Image Denoising Based on Improved Threshold and Inter-scale Correlations of Wavelet Transform [J]. Acta Automatica Sinica, 2011, 37(10)：1167-1174.

殷明, 刘卫, 王治成. 非下采样Contourlet变换域统计模型红外图像去噪[J]. 光电工程, 2012, 39(8): 46. YIN Ming, LIU Wei, WANG Zhi-cheng. Infrared Image Denoising Based on Statistical Model in Nonsubsampled Contourlet Transform Domain[J]. Opto-Electronic Engineering, 2012, 39(8): 46.

非下采样Contourlet变换域统计模型红外图像去噪

关于本站 Cookie 的使用提示

全站搜索

非下采样Contourlet变换域统计模型红外图像去噪

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索