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Using Shear Invariant for Image Denoising in the Contourlet Domain

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Book cover Advances in Machine Vision, Image Processing, and Pattern Analysis (IWICPAS 2006)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4153))

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Abstract

A new contourlet transform based on shear invariant is proposed for image denoising. Image denoising by means of the contourlet transform(CT) introduces many visual artifacts due to the Gibbs-like phenomena. Due to the lack of transform invariance of the contourlet transform, we employ a shear technique to develop shear invariant contourlet denoising scheme (SICT). This scheme achieves enhanced estimation results for images that are corrupted with additive Gaussian noise over a wide range of noise variance. Experiments show that the proposed approach outperforms the translation invariant wavelets method and translation invariant contourlets method both visually and in terms of the PSNR values at most cases. Especially, SICT yields better visual results even has worse PSNR result than translation invariant contourlet transform.

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References

  1. Po, D.D., Do, M.N.: Directional multiscale modeling of images using the contourlet transform. In: 2003 IEEE Workshop on Statistical Signal Processing, September 28 - October 1, pp. 262–265 (2003)

    Google Scholar 

  2. Eslami, R., Radha, H.: Image Denoising Using Translation Invariant Contourlet Transform. In: Acoustics, Speech, and Signal Processing, 2005. Proceedings (ICASSP 2005). IEEE International Conference, pp. 557–560 (2005)

    Google Scholar 

  3. Candès, E.J., Donoho, D.L.: Curvelets - A Surprisingly Effective Nonadaptive Representation for Objects with Edges. In: Schumaker, L.L., et al. (eds.) Curves and Surfaces, Vanderbilt University Press, Nashville (1999)

    Google Scholar 

  4. Do, M.N., Vetterli, M.: The contourlet transform: an efficient directional multiresolution image representation. IEEE Trans. on Image Pmrersing 14(12), 2091–2106 (2005)

    Article  MathSciNet  Google Scholar 

  5. Arthur, L., da Cunha, M.N.: Do: Bi-Orthogonal Filter Banks with Directional Vanishing Moments [image representation applications]. In: Acoustics, Speech, and Signal Processing, 2005. Proceedings (ICASSP 2005). IEEE International Conference, March 18-23, 2005, vol. 4, pp. 553–556 (2005)

    Google Scholar 

  6. Do, M.N., Vetterli, M.: Pyramidal directional filter banks and curvelets. In: Proc. of IEEE International Conference on Image Processing (ICIP), October 7-10, 2001, vol. 3, pp. 158–161 (2001)

    Google Scholar 

  7. Do, M.N., Vetterli, M.: Contourlets: a directional multiresolution image representation. In: Image Processing, 2002, Proceedings. 2002 International Conference, September 2002, vol. 1, pp. 357–360 (2002)

    Google Scholar 

  8. Do, M. N.: Contourlet Toolbox at, http://www.ifp.uiuc.edu/~minhdo/software/

  9. Eslami, R., Radha, H.: The Contourlet Transform for Image De-noising Using Cycle Spinning. In: Signals, Systems & Computers, 2003, Conference Record of the Thirty-Seventh Asilomar Conference, November 9-12, 2003, vol. 2, pp. 1982–1986 (2003)

    Google Scholar 

  10. Donoho, D.L.: Wavelab802 at, http://www-stat.stanford.edu/~wavelab/

  11. Stéphane Mallat, A.: Wavelet Tour of Signal Processing. Academic Press, London (1999)

    MATH  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Jia, J., Jiao, L. (2006). Using Shear Invariant for Image Denoising in the Contourlet Domain. In: Zheng, N., Jiang, X., Lan, X. (eds) Advances in Machine Vision, Image Processing, and Pattern Analysis. IWICPAS 2006. Lecture Notes in Computer Science, vol 4153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11821045_40

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  • DOI: https://doi.org/10.1007/11821045_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37597-5

  • Online ISBN: 978-3-540-37598-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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