Acta Optica Sinica, Volume. 28, Issue 11, 2090(2008)

Analysis of Frequency Aliasing of Contourlet Transform Based on Laplace Pyramidal Transform

Feng Peng*, Wei Biao, Pan Yingjun, and Mi Deling
Author Affiliations
  • [in Chinese]
  • show less
    References(22)

    [1] [1] Yang Fusheng, The practical analysis of wavelet transform and its applications[M]. Beijing: Science Press, 1999

    [2] [2] Stephen Mallat. A wavelet tour of signal processing[M]. Yang Lihua Transl., Beijing, China Machine Press, 2003

    [3] [3] Jiao Licheng, Tan Shan. Development and prospect of image multiscale geometric analysis[J]. Acta Electronica sinica, 2003, 31(13A): 1975~1981

    [4] [4] E. J. Candès. Ridgelets: Theory and application[D]. USA: Stanford University, 1998

    [5] [5] E. J. Candès. Harmonic analysis of neural networks[J]. Applied and Computational Harmonic Analysis, 1999, 6(2): 197~218

    [6] [6] E. J. Candès, D. L. Donoho. Continuous curvelet transform: I. Resolution of the wavefront set[J]. Applied and Computational Harmonic Analysis, 2005, 19(2): 162~197

    [7] [7] E. J. Candès, D. L. Donoho. Continuous curvelet transform: II. Discretization and frames[J]. Applied and Computational Harmonic Analysis, 2005, 19(2): 198~222

    [8] [8] M. N. Do, M.Vetterli. The contourlet transform: an efficient directional multiresolution image representation[J]. IEEE Trans. on Image Processing, 2005, 14(12): 2091~2106

    [9] [9] M. N. Do. Directional multiresolution image representations[D]. Swiss Federal Institute of Technology, 2001

    [10] [10] P. J. Burt, E. H. Adelson. The laplacian pyramid as a compact image code[J]. IEEE Trans. on Communication, 1983, 31(4): 532~540

    [11] [11] R. H. Bamberger, M. J. T. Smith. A filter bank for the directional decomposition of images: Theory and design[J]. IEEE Trans. on Signal Processing, 1992, 40(4): 882~893

    [12] [12] D. D.-Y. Po, M. N. Do. Directional multiscale modeling of images using the contourlet transform[J]. IEEE Trans.on Image Processing, 2006, 15(6): 1610~1620

    [13] [13] E. J. Candès, L. Demanet, D. L. Donoho. Fast discrete curvelet transforms[R]. USA: California Institute of Technology, 2005

    [14] [14] R. Eslami, H. Radha. Translation-invariant contourlet transform and its application to image denoising[J]. IEEE Trans. on Image Processing, 2006, 15(11): 3362~3374

    [15] [15] A. L. Cunha, J. P. Zhou, M. N. Do, The nonsubsampled contourlet transform: Theory, design, and applications[J]. IEEE Trans. on Image Processing, 2006, 16(10): 3089~3101

    [16] [16] Li Huihui, Guo Lei, Liu Hang, Research on image fusion based on the second generation curvelet transform[J]. Acta Optica Sinica, 2006, 26(5): 657~662

    [17] [17] Wang Gang, He Anzhi, Xiao Liang. Algorithm research in ridgelet transform domain based on the image content of freeway local linear crack[J]. Acta Optica Sinica, 2006, 26(3): 341~346

    [18] [18] Miao Qiguang, Wang Baoshu. Multi-sensor image fusion based on improved laplacian pyramid transform[J]. Acta Optica Sinica, 2007, 27(9): 1605~1610

    [19] [19] Tao Ran, Zhang Huiyun, Wang Yue. The theory of multirate digital signal processing and its applications[M]. Beijing: Tsinghua Univeristy Press, 2007

    [20] [20] Hu Guangshu. Modern Signal Processing[M]. Beijing: Tsinghua University Press, 2004

    [21] [21] T. Chen, P. P. Vaidyanathan. Considerations in multidimensional filter bank design[C]. IEEE International Symposium on Circuit and System, Chicago, USA, 1993, 1: 643~646

    [22] [22] Yi Chen. Design and Application of Quincunx Filter Banks[D]. USA: University of Victoria, 2006

    CLP Journals

    [1] JIN Wei, FU Ran-di, LI Rong-qian, CEN Xiong-ying. Texture Image Segmentation Based on Directional and Phase Features of the Dual Tree Contourlet[J]. Acta Photonica Sinica, 2010, 39(8): 1400

    [2] YAN He, YU Yong-hui, ZHAO Ming-fu. Mixed statistical model image denoising based on shift-invariant non-aliasing Contourlet transform[J]. Optics and Precision Engineering, 2010, 18(10): 2269

    [3] Feng Peng, Wei Biao, Mi Deling, Zheng Xiaolin. Pilot Study of Coefficient Distribution Model of Anti-Aliasing Contourlet Transform[J]. Chinese Journal of Lasers, 2009, 36(s2): 103

    [4] JIAO Bin-liang, ZHAO Peng, WANG Yan-tao. Super-resolution Image Reconstruction Based on Advanced Non-aliasing Contourlet[J]. Opto-Electronic Engineering, 2011, 38(8): 112

    [5] Wu Yan, Xiao Ping, Wang Changming, Li Ming. Fusion Segmentation Algorithm for SAR Images Based on the Persistence and Clustering in the Contourlet Domain[J]. Acta Optica Sinica, 2010, 30(7): 1977

    Tools

    Get Citation

    Copy Citation Text

    Feng Peng, Wei Biao, Pan Yingjun, Mi Deling. Analysis of Frequency Aliasing of Contourlet Transform Based on Laplace Pyramidal Transform[J]. Acta Optica Sinica, 2008, 28(11): 2090

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Image Processing

    Received: Jan. 24, 2008

    Accepted: --

    Published Online: Nov. 17, 2008

    The Author Email: Peng Feng (coe-fp@163.com)

    DOI:

    Topics