Signal and Information Processing

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

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.

Cite this article

FANG Jing1,2, XIAO Yang1, WANG Dong1 . De-noising of SAR Images Based on Wavelet-Contourlet Transform with Recursive Cycle Spinning[J]. Journal of Applied Sciences, 2014 , 32(6) : 605 -610 . DOI: 10.3969/j.issn.0255-8297.2014.06.009

References

[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.
 
Outlines

/