Acta Optica Sinica, Volume. 29, Issue 9, 2390(2009)

Image Denoising Method Based on Curvelet Transform and Total Variation

Ni Xue*, Li Qingwu, Meng Fan, Shi Dan, and Fan Xinnan
Author Affiliations
  • [in Chinese]
  • show less
    References(16)

    [1] [1] Candes E J, Donoho D L. Curvelets-A surprisingly effective non-adaptive representation for objects with edges[C]. Nashville, TN: Vanderbilt University Press, 2000: 105-120

    [2] [2] Candes E J, Donoho D L. New tight frames of curvelets and optimal representations of objects with C2 singularities[J]. Commun Pure Appl. Math, 2004, 57(2): 219-266

    [3] [3] Candes E J, Demanet L, Donoho D L. Fast discrete curvelet transforms[R]. Applied and Computational Mathematics. California Institute of Technology, 2005: 1-43

    [4] [4] Starck J L, Candes E J, Donoho D L. The curvelet transform for image denoising[J]. IEEE Trans. Image Processing, 2002, 11(6): 670-684

    [5] [5] Yang Jiahong, Xu Canhui, Wang Yaonan. Image de-noising algorithm based on fast curvelet transform[J]. Comput. Engin. Appl., 2007, 43(6): 31-33

    [7] [7] Xiao Xiaokui, Li Shaofa. Edge-preserving image denoising method using Curvelet transform[J]. J. China Inst. Commun. 2004, 25(2): 9-15

    [8] [8] Perona P, Malik J. Scale-space and edge detection using anisotropic diffusion[J]. IEEE Trans. Pattern Anal. Mach. Intell., 1990, 12(7): 629-639

    [9] [9] Rudin L, Osher S, Fatemi E. Nonlinear total variation based noise removal algorithms [J]. Physica D, 1992, 60(1/4): 259-268

    [10] [10] Rudin L, Osher S. Total variation based image restoration with free local constraints[C]. Proceedings of the IEEE International Conference on Image Processing, 1994: 31-35

    [11] [11] Chan T F, Osher S, Shen J. The digital TV filter and nonlinear denoising [J]. IEEE Trans Imag. Proc. 2001, 10(2): 231-241

    Tools

    Get Citation

    Copy Citation Text

    Ni Xue, Li Qingwu, Meng Fan, Shi Dan, Fan Xinnan. Image Denoising Method Based on Curvelet Transform and Total Variation[J]. Acta Optica Sinica, 2009, 29(9): 2390

    Download Citation

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

    Category: Image Processing

    Received: Oct. 27, 2008

    Accepted: --

    Published Online: Oct. 9, 2009

    The Author Email: Xue Ni (nixue1213@126.com)

    DOI:10.3788/aos20092909.2390

    Topics