基于Shearlets变换的SAR图像去噪

doi:10.3969/j.issn.0255-8297.2012.06.012

Abstract

Abstract: This paper proposes a de-noising algorithm for SAR images based on Shearlets transform. Shearlets transformation is multi-scale geometric analysis which possesses the advantages of Contourlet transform and Curvelet transform. For a singular curve or surface containing C2 high-dimensional signals, it is an optimal approximation. We apply Shearlets to approach SAR images, and use a bivariate threshold according to the Bayesian estimation theory to perform image de-noising. The obtained results show an increase of 2 dB in PSNR as compared to the Contourlet-based method with a bivariate threshold. Compared with the nonsubsampled Contourlet method with a bivariate threshold, the proposed method gives a higher PSNR and smoother denoised images. In addition, computation complexity is reduced.

Key words: de-nosing, Shearlets, Contourlet, synthetic aperture radar (SAR)

CLC Number:

TN911.6

LIU Shuai-qi, HU Shao-hai, XIAO Yang. De-noising of SAR Images Based on Shearlets Transform[J]. Journal of Applied Sciences, 2012, 30(6): 629-634.

References

[1] TOUZI R. A review of speckle filtering in the context of estimation theory [J]. IEEE Transactions on Geoscience and Remote Sensing, 2002, 40(11): 2392-2404.

[2] LIU Z X, HU S H, XIAO Y, QU G Z, KIM K S, SAR image target extraction based on 2-D leapfrog filtering[C]// Proceedings of 2010 IEEE 10th International Conference on Signal Processing, (ICSP2010), 2010:1943-1946.

[3] LEE J S, JURKEVICH L, DEWAELEB P, OOSTERLINCK A. Speckle filtering of synthetic aperture radar images: a review [J]. Remote Sensing Reviews, 1994, 8 (4): 313-340.

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

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

[6] 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.

[7] GUO K, LABATE D. Optimally Sparse multidimensional representation using Shearlets [J]. SIAM Journal on Mathematical Analysis, 2007, 39(1):298-318.

[8] LIM W Q. The discrete Shearlets transform: a new directional transform and compactly supported Shearlets frames [J]. IEEE Transaction Image Processing, 2010, 19 (5): 1166-1180

[9] EASLEY G, LABATE D, LIM W Q. Sparse directional image representation using the discrete Shearlets transform [J]. Applied and Computational Harmonic Analysis, 2008, 25 (1) : 25-46.

[10] 秦翰林，李佳，周慧鑫，赖睿，刘上乾. 采用剪切波变换的红外弱小目标背景抑制 [J]. 红外与毫米波学报，2011,30(2): 162-166.

QIN Hanlin, LI Jia, ZHOU Huixin, LAI Rui, LIU Shangqian. Infrared dim and small target background suppression using shearlet transform [J]. Journal of Infrared and Millimeter Waves, 2011, 30(2): 162-166. (in Chinese)

[11] 侯彪，胡育辉，焦李成. SAR图像水域的改进Shearlet边缘检测 [J]. 中国图像图形学报，2011, 15(10): 1549-1554.

HOU Biao, HU Yucheng, JIAO Licheng. Improved shearlet edge detection for waters of SAR image [J]. Journal of Image and Graphics, 2011, 15(10): 1549-1554. (in Chinese)

[12] 胡海智，孙辉，邓承志，陈习，柳枝华，占惠星. 基于Shearlet变换的图像去噪算法 [J]. 计算机应用，2010, 30 (6): 1562-1564

HU Haizhi, SUN Hui, DENG Chengzhi, CHEN Xi, LIU Zhihua, ZHAN Huixing. Image de-noising algorithm based on Shearlet transform [J]. Journal of Computer Applications, 2010, 30 (6): 1562-1564. (in Chinese)

[13] SVEINSSON J R, BENEDIKTSSON J A. Almost translation invariant wavelet transformations for speckle reduction of SAR images [J]. IEEE Transaction on Geoscience and Remote Sensing, 2003, 41(10): 2404-2408.

[14] SENDUR L, SELESNICK I W. Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency [J]. IEEE Transaction Signal Processing, 2002, 50 (11): 2744-2756

[15] PO D D, DO M N, Directional multiscale modeling of images using the contourlet transform [J]. IEEE Transaction Image Process, 2006, 15(6): 1610-1620

[16] COLONNA F, EASLEY G R. Generalized discrete Radon transforms and their use in the ridgelet transform [J]. Journal of Mathematical Imaging and Vision, 2005, 23 (2): 145-165.

De-noising of SAR Images Based on Shearlets Transform

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