A Digital Image Denoising Method with Edge Preservation Using Dyadic Lifting Schemes

  • Teruya Minamoto
  • Satoshi Fujii
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5414)


In this paper we proposed a new wavelet denoising method for digital images with edge preservation. Briefly stated, our method consists of a combination of the dyadic lifting schemes with the edge-preserving wavelet thresholding. The dyadic lifting schemes have free parameters which enable us to construct the filters having important image features. We describe how to determine these parameters and the denoising algorithm with edge preservation in detail. Some numerical experiments are presented, and we show that these parameters play an important role to denoise.


  1. 1.
    Aubert, G., Kornprobst, P.: Mathematical problems in image processing, 2nd edn. Partial differential equations and the calculus of variations. Springer, Heidelberg (2006)zbMATHGoogle Scholar
  2. 2.
    Donoho, D.L.: De-noising by soft-thresholding. IEEE Trans. Inform. Theory 41(3), 613–627 (1995)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Mallat, S., Zhong, S.: Characterization of signals from multiscale edges. IEEE trans. pattern anal. mach. intell. 14(7), 710–732 (1992)CrossRefGoogle Scholar
  4. 4.
    Mallat, S.: A wavelet tour of signal processing. Academic press, London (1998)zbMATHGoogle Scholar
  5. 5.
    Papari, G., Campisi, P., Petkov, N., Neri, A.: Contour detection by multiresolution surround inhibition. In: Proc. Int. Conf. on Image Processing ICIP 2006, Atlanta, GA, October 8-11, pp. 749–752 (2006)Google Scholar
  6. 6.
    Türüki, T.A., Hussain, M., Niijima, K., Takano, S.: The dyadic lifting schemes and the denoising of digital images. International Journal of Wavelets, Multiresolution and Information Processing 6(3), 331–351 (2008)MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    Sweldens, W.: The lifting scheme:A construction of second generation wavelets. SIAM J. Math. Anal. 29(2), 511–546 (1997)MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    Lazzaro, D., Montefusco, L.B.: Edge-preserving wavelet thresholding for image denoising. J. Comput. Appl. Math. 210, 222–231 (2007)MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Teruya Minamoto
    • 1
  • Satoshi Fujii
    • 1
  1. 1.Saga UniversitySagaJapan

Personalised recommendations