Computer Science ›› 2014, Vol. 41 ›› Issue (3): 282-285.

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New Wavelet Based Directional Transform

XU Hua-nan,PENG Guo-hua and LIU Zhe   

  • Online:2018-11-14 Published:2018-11-14

Abstract: The directionlet transform is a multidirectional and anisotropic transform for image processing which expands the direction of the wavelet transform.However,not as the wavelet transform,the directionlet don’t retain the resolution-scalability,which leads to weak expressions on the smooth regions in images.To overcome the drawback,wavelet and directionlet transform were combined to construct a multiscale and multidirectional transform called wavelet based directionlet transform.Numerical experiments were performed to assess the applicability of the proposed method.The obtained results show that the proposed method can well express both smooth regions and details in images,and obtain higher PSNR and SSIM than the compared methods.

Key words: Wavelet transform,Directionlet transform,Wavelet based directionlet transform,Image denoising

[1] 刘哲.基于非下采样轮廓小波变换的图像去噪[J].光电子·激光,2009,0(7):954-958
[2] Candès E J.Ridgelets:Theory and Applications [D].USA:Department of Statistics,Stanford University,1998
[3] Candès E J,Donoho D L.Curvelets and curvilinear integrals[R].Department of Statistics.Stanford University,Stanford,CA, 1999
[4] Candès E J,Donoho D L.Curvelets:a surprisingly effective non-adaptive representation for objects with edges[D].Saint-Malo:Vanderbilt University Press,1999
[5] Do M N,Vetterli M.Contourlets[A]∥Stoeckler J,Welland G V,eds.,Beyond Wavelets[C].Academic Press,2002:1-27
[6] Do M N,Vetterli M.The contourlet transform:an efficient directional multiresolution image representation [J].IEEE Trans.on Image Processing,2005,4(12):2091-2106
[7] Velisavlijevic V,Beferull-Lozano B,Vetterli M,et al.Directionlets:Anisotropic multidirectional representation with separable filtering [J].IEEE Trans.on Image Processing,2006,25(7):1916-1933
[8] Velisavlijevic V,Dragotti P L,Vetterli M.Directional wavelet transforms and frames[C]∥IEEE international conference on image processing (ICIP).Rochester:IEEE Press,2002,3:589-592
[9] 闫敬文,屈小波.超小波分析及应用[M].北京:国防工业出版社,2008
[10] 焦李成,侯彪,王爽,等.图像多尺度几何分析理论与应用[M].西安:西安电子科技大学出版社,2008
[11] 林玉池,刘启海,陶力,等.一种基于Directionlet变换的图像融合算法[J].纳米技术与精密工程,2010,8(6):565-568
[12] Reji A P,Thomas T.A Learning Based Single Image Super Resolution Method Using Directionlets [C]∥2010International Conference on Advances in Computer Engineering.2010:69-73
[13] 王贞俭,曲长文.方向小波域的选择性阈值SAR图像去噪[J].中国图象图形学报,2009,4(1):65-70
[14] Ma Ning,Zhou Ze-ming,Zhang Peng,et al.SAR ImageDespeckling using Directionlet Transform and Gaussian Scale Mixtures Model [C]∥20102nd International Conference on Future Computer and Communication.2010,2:636-640
[15] Hou B,Guan H,Jiang J G,et al.SAR Image Despeckling Based on Improved Directionlet Domain Gaussian Mixtures Model[C]∥Geoscience and Remote Sensing Symposium(IGARSS),2011IEEE International.2011:3795-3798
[16] Eslami R,Radha H.Wavelet based contourlet transform and its application to image coding [C]∥2004International Conference on Image Processing (ICIP).2004,5:3189-3192
[17] 徐华楠,刘哲,刘灿.多孔小波和非下采样滤波器组去除遥感图像的多种噪声[J].上海交通大学学报,2012,6(2):233-238
[18] Velisavlijevic V,Beferull-Lozano B,Vetterli M.Space-Frequency Quantization for Image Compression With Directionlets [J].IEEE Transactions on image processing,2007,16(7):1761-1773
[19] Wang Z,Bovik A C,Sheikh H R,et al.Simoncelli.Image quality assessment:From error visibility to structural similarity[J].IEEE Transactions on Image Processing,2004,13(4):600-612
[20] http://www.cns.nyu.edu/lcv/ssim/
[21] 王贞俭,曲长文.Directionalet:一种新的多尺度几何分析方法[J].海军航空工程学院学报,2007,2(2):233-236

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