小波域中的广义非局部平均去噪算法

doi:10.3969/j.issn.1001-2400.2010.05.029

J4 ›› 2010, Vol. 37 ›› Issue (5): 941-946.doi: 10.3969/j.issn.1001-2400.2010.05.029

小波域中的广义非局部平均去噪算法

冯象初¹;刘涛¹;李亚峰^1，2

(1. 西安电子科技大学理学院，陕西西安 710071；
2. 宝鸡文理学院计算机科学系，陕西宝鸡 721007)

收稿日期:2009-04-10 出版日期:2010-10-20 发布日期:2010-10-11
通讯作者: 冯象初
作者简介:冯象初(1962-)，男，教授，博士，E-mail: xcfeng@mail.xidian.edu.cn．
基金资助:
国家自然科学基金资助项目(60872138);宝鸡文理学院2009年院级科研重点资助项目(ZK09172)

Generalized nonlocal mean denoising research based on the wavelet domain

FENG Xiang-chu¹;LIU Tao¹;LI Ya-feng^1,2

(1. School of Science, Xidian Univ., Xi'an 710071， China;
2. Dept. of Computer Sci., Baoji Univ. of Arts and Sci., Baoji 721007， China)

Received:2009-04-10 Online:2010-10-20 Published:2010-10-11
Contact: FENG Xiang-chu

摘要/Abstract

摘要：

图像小波系数的统计分布具有非高斯特性，可以用广义高斯模型进行描述．使用广义高斯分布对图像子带小波系数进行建模并估计广义高斯分布模型的参数，根据参数确定了非局部平均权值的广义表达式，在此基础上提出了一种基于广义高斯分布的小波域广义非局部平均去噪算法．仿真结果表明，相比小波域阈值去噪和小波域非局部平均去噪算法，该方法的峰值信噪比平均提高1.5～3.3dB，在边缘特征方面保持了良好的视觉效果．

关键词: 小波系数, 广义高斯分布, 非局部平均算法, 图像去噪

Abstract:

The statistics of image wavelet coefficients is non-Gaussian and can be described by generalized Gaussian distribution (GGD). The paper investigates the issues of the GGD statistical model for wavelet coefficients in a subband and the corresponding parameter estimation. The estimated parameters are used to define a generalized nonlocal mean which allows us to restore the original image. A nonlocal mean denoising algorithm in the wavelet domain based on the GGD statistical model is proposed. Simulation results indicate that the proposed method outperforms the others by 1.5～3.3dB in the PSNR, and keeps a better visual result in edges information reservation as well.

Key words: wavelet coefficients, generalized Gaussian distribution, nonlocal means algorithm, image denoising

冯象初;刘涛;李亚峰. 小波域中的广义非局部平均去噪算法[J]. J4, 2010, 37(5): 941-946.

FENG Xiang-chu;LIU Tao;LI Ya-feng. Generalized nonlocal mean denoising research based on the wavelet domain[J]. J4, 2010, 37(5): 941-946.

参考文献

[1] 李敏, 冯象初. 基于总变分和各向异性扩散方程的图像恢复模型[J] . 西安电子科技大学学报, 2006, 33(5): 759-762
Li Min, Feng Xiangchu. Image Restoration Using the Total Variation and the Anisotropic Diffusion Equation[J] . Journal of Xidian University for Nationalities, 2006, 33(5): 759-762.
[2] 李敏,冯象初. 基于权变分和小波方法的图像去噪模型[J] . 西安电子科技大学学报, 2006, 33(6): 980-984.
Li Min, Feng Xiangchu. A Denoising Model Using the Total Variation and Wavelet Method[J] . Journal of Xidian University for Nationalities, 2006, 33(6):980-984.
[3] Buades A, Coll B, Morel J M. A Nonlocal Algorithm for ImageDenoising[C] //IEEE Computer Society Conference on Computer Vision and Pattern Recognition. New York: IEEE, 2005, 2(6):60-65.
[4] Mallat S. A Theory for Multiresolution Signal Decomposition: the Wavelet Representation[J] . IEEE Trans on Pattern Analysis and Machine Intelligence, 1989, 11(7): 674-693.
[5] Souidene W, Beghdadi A. Image Denoising in the Transformed Domain Using Non Local Neighbourhoods[C] //IEEE International Confereence on Acoustics Speech, and Signal Process. France: IEEE, 2006: 869-871.
[6] Moulin P, Liu J. Analysis of Multiresolution Image Denoising Schemes Using Generalized Gaussian and Complexity Priors[J] . IEEE Trans on Information Theory, 1999, 45(3): 909-919.
[7] 侯建华, 熊承义, 田晓梅. 广义高斯分布及其在图像去噪中的应用[J] . 中南民族大学学报, 2005, 24(3): 44-47.
Hou Jianhua, Xiong Chengyi, Tian Xiaomei. Generalized Gaussian Distribution and Its Application in Image Denoising[J] . Journal of South Central University for Nationalities, 2005, 24(3): 44-47.
[8] Buades A, Coll B, Morel J M. A Review of Image Denoising Algorithms, with a New One [J] . Multisacle Model Simul, 2005, 2(4): 490-530.
[9] Sharifi K, Garcia L. Estimation of Shape Parameter for Generalized Gaussian Distribution in Subband Decompositions of Video[J] . IEEE Trans on Circuits and Systems for Video Technology, 1995, 5(1): 52-56.
[10] Do M N, Vetterli M. Wavelet-based Texture Retrieval Using Generalized Gaussian Density and Kullback-Leibler Distance[J] . IEEE Trans on Image Processing, 2002, 11(2): 146-158.
[11] 汪太月, 李志明. 一种广义高斯分布的参数的快速估计算法[J] . 工程地球物理学报, 2006, 3(3):172-176.
Wang Taiyue, Li Zhiming. A Fast Parameter Estimation of Generalized Gaussian Distribution[J] . Chinese Journal of Engineering Geophysics, 2006, 3(3):172-176.
[12] 侯建华, 熊承义, 田金文, 等. 基于MATLAB的图像小波子带广义高斯模型的研究[J] . 计算机应用与软件, 2006, 23(1): 131-132.
Hou Jianhua, Xiong Chengyi, Tian Xiaomei, et al. Matlab Based Generalized Gaussian Model Study for Subband of Image Wavelet Coefficients[J] . Computer Applications and Software, 2006, 23(1):131-132.
[13] Buades A, Coll B, Morel J M. Neighborhood Filters and PDE's[J] . Numerische Mathematik, 2006, 105(1): 1-34.

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小波域中的广义非局部平均去噪算法

Generalized nonlocal mean denoising research based on the wavelet domain

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