信号与信息处理

小波-Contourlet 与迭代Cycle Spinning 相结合的SAR 图像去噪

展开
  • 1. 北京交通大学信息科学研究所,北京100044
    2. 山东师范大学物理与电子科学学院,济南250014  
方敬,博士生,研究方向:SAR图像去噪、特征提取、压缩编码,E-mail: shanshifangjing@sina. com;肖扬,教授,博导,研究方向:SAR信号处理、多维信号处理,E-mail: yxiao@bjtu.edu.cn

收稿日期: 2014-04-04

  修回日期: 2014-09-28

  网络出版日期: 2014-09-28

基金资助

国家自然科学基金(No.61106022);北京市自然科学基金(No.4143066)资助

De-noising of SAR Images Based on Wavelet-Contourlet Transform with Recursive Cycle Spinning

Expand
  • 1. Institute of Information Science, Beijing Jiaotong University, Beijing 100044, China
    2. College of Physics and Electronics, Shandong Normal University, Ji’nan 250014, China

Received date: 2014-04-04

  Revised date: 2014-09-28

  Online published: 2014-09-28

摘要

通过分析合成孔径雷达图像的相干斑噪声模型,提出一种小波-Contourlet 与迭代Cycle spinning 相结
合的SAR 图像去噪方法. 小波-Contourlet 比小波变换、Contourlet 变换能更稀疏地表达图像,更好地获得图像
结构特征. Contourlet 变换缺乏移不变性,导致小波-Contourlet 也是缺乏移不变性的,对系数进行阈值处理会
产生伪吉布斯现象. Cycle spinning 算法可以有效地减少伪吉布斯现象,但不是最优的. 为此,用小波变换代替
LP(Laplacian pyramid) 变换作子带分解,以迭代Cycle spinning 代替多次移位取平均值. 仿真结果表明,该方法
不仅可以显著去除相干斑噪声,达到较高的峰值信噪比,而且还保留了图像的细节,改善了视觉效果.

本文引用格式

方敬1,2, 肖扬1, 王东1 . 小波-Contourlet 与迭代Cycle Spinning 相结合的SAR 图像去噪[J]. 应用科学学报, 2014 , 32(6) : 605 -610 . DOI: 10.3969/j.issn.0255-8297.2014.06.009

Abstract

By analyzing a speckle model of synthetic aperture radar (SAR), a de-noising method for SAR
images based on the wavelet-Contourlet transform and recursive cycle spinning is presented. Compared with
wavelet transform and Contourlet transform, wavelet-Contourlet transform can express images more sparsely
and better obtain image structure. Because the Contourlet transform lacks shift invariance, wavelet-Contourlet
transform also lacks shift invariance. Threshold processing on the coefficients may produce pseudo Gibbs
phenomena. Although a cycle spinning algorithm can reduce the pseudo Gibbs phenomena, it is not the
best. In this paper, wavelet transform is used to replace the Laplacian pyramid transform (LPT) for sub-band
decomposition. Recursive cycle spinning is used to replace the cycle spinning. Simulation results show that
the proposed algorithm is efficient, and it performs significantly better in reducing speckle noise, resulting in
higher peak signal-to-noise ratio, more image details and better visual quality.

参考文献

[1] GOODMAN J W. Some fundamental properties of speckle [J]. Journal of the optical society of America, 1976, 66(11): 1145-1150.

[2] HUA X, PIERCE L E, ULABY F T. Despeckling SAR images using a low-complexity wavelet denoising process [C]//Geoscience and Remote Sensing Symposium,2002, 1: 321-324.

[3] Eom Kie B. Anisotropic adaptive filtering for speckle reduction in synthetic aperture radar images[J]. Optical Engineering, 2011, 50(5): 97-108.

[4] GLEICH D, KSENEMAN M, DATCU M. Despeckling of TerraSAR-X data using second-generation wavelets [J]. IEEE Geoscience and Remote Sensing Letters, 2010, 7(1): 68-72.

[5] XIE H, PIERCE LE, ULABY F T. SAR speckle reduction using wavelet denoising and Markov random field modeling [J]. IEEE Transactions on Geoscience and Remote Sensing, 2002, 40(10): 2196-2212.

[6] DO M N. Directional multiresolution image representation [D]. PhD thesis, EPFL, Lausanne, Switzerland, 2001.

[7] DO M N, Vetterli M. Contourlets: a directional multiresolution image representation [C]//Proc of IEEE International Conference on Image Processing. Rochester, NY: 2002. 357-360.

[8] 梁栋,沈敏,高清维,等. 一种基于Contourlet递归Cycle Spinning的图像去噪方法[J]. 电子学报,2005, 33(11): 2044-2046.

LIANG Dong, LI Yao, SHEN Min, GAO Qingwei, BAO Wenxia. An Algorithm for multi-focus image fusion using wavelet based Contourlet transform [J]. Chinese Journal of Electronics, 2007, 35(2): 320-322. (in Chinese)

[9] COIFMAN R R, DONOHO D L. Translation invariant denoising [C]//Wavelets and Statistics, Springer Lecture Notes in Statistics 103. New York: Springer-Verlag. 1995: 125-150.

[10] 刘帅奇,胡绍海,肖扬. 基于小波-Contourlet变换与Cycle Spinning相结合的SAR图像去噪[J].信号处理,2011, 27(06): 837-842.

LIU Shuaiqi, HU Shaohai, XIAO Yang. SAR image de-noised based on wavelet-Contourlet transform with cycle spinning [J]. Chinese Journal of Signal Processing, 2011, 27(06): 837-842.

[11] FLETCHER A K, RAMCHANDRAN K, GOYAL V K. Wavelet denoising by recursive cycle spinning [C]//IEEE International Conference on Image Processing. Rochester, NY, 2002: 873-876.

[12] GOODMAN J W. Some fundamental properties of speckle [J]. Journal Optical Society America, 1976, 6(11): 1145-1150.

[13] 倪伟. 基于多尺度几何分析的图像处理技术研究[D]. 西安:西安电子科技大学,2008.

[14] 刘帅奇,胡绍海,肖扬. 基于局部混合滤波的SAR图像去噪[J]. 系统工程与电子技术,2012, 34(2): 17-23.

 [15] TOSIC I, OLSHAUSEN B A, CULPEPPER B J. Learning sparse representations of depth [J]. IEEE Journal of Selected Topics in Signal Processing, 2011, 5 (5): 941-952.

 [16] CUNHA A L, ZHOU J P, DO M N. The nonsubsampled Contourlet transform: theory, design and application[J]. IEEE Transactions on Image Processing, 2006, 15(10): 3089-3101.

[17] ESLAMI R, RADHA H. Wavelet based Contourlet transform and it’s application to image coding [C]// Singapore: IEEE International Conference on Image Processing, 2004: 3189-3192.

 [18] ESLAMI R, RADHA H. The Contourlet transform for image de-noising using cycle spinning [C]//Asilomar Conference on Signals, Systems, and Computers. Pacific Grove, USA, 2003: 1982-1986.

[19] CHING P C, SO H C. On wavelet denoising and its applications to time delay estimation [J]. IEEE Transactions on SP, 1999, 47(10): 2879-2882.
 
文章导航

/