Skip to main content

Image Denoising Using Neighbouring Contourlet Coefficients

  • Conference paper
Advances in Neural Networks - ISNN 2008 (ISNN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5264))

Included in the following conference series:

Abstract

The denoising of a natural image corrupted by Gaussian white noise is a classical problem in image processing. In this paper, a new image denoising method is proposed by using the contourlet transform. The thresholding process employs a small neighbourhood for the current contourlet coefficient to be thresholded. This is because the contourlet coefficients are correlated, and large contourlet coefficients will normally have large coefficients at its neighbour locations. Experiments show that the proposed method is better than the standard contourlet denoising and the wavelet denoising.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Strela, V., Heller, P.N., Strang, G., Topiwala, P., Heil, C.: The Application of Multiwavelet Filter Banks to Image Processing. IEEE Transactions on Image Processing 8, 548–563 (1999)

    Article  Google Scholar 

  2. Downie, T.R., Silverman, B.W.: The Discrete Multiple Wavelet Transform and Thresholding Methods. IEEE Transactions on Signal Processing 46, 2558–2561 (1998)

    Article  Google Scholar 

  3. Coifman, R.R., Donoho, D.L.: Translation Invariant Denoising. In: Wavelets and Statistics. Springer Lecture Notes in Statistics, vol. 103, pp. 125–150. Springer, New York (1994)

    Google Scholar 

  4. Cai, T.T., Silverman, B.W.: Incorporating Information on Neighbouring Coefficients into Wavelet Estimation. Sankhya: The Indian Journal of Statistics 63(B), pt. 2, 127–148 (2001)

    MathSciNet  Google Scholar 

  5. Chen, G.Y., Bui, T.D.: Multiwavelet Denoising Using Neighbouring Coefficients. IEEE Signal Processing Letters 10, 211–214 (2003)

    Article  Google Scholar 

  6. Bui, T.D., Chen, G.Y.: Translation-invariant Denoising Using Multiwavelets. IEEE Transactions on Signal Processing 46, 3414–3420 (1998)

    Article  Google Scholar 

  7. Chen, G.Y., Bui, T.D., Krzyzak., A.: Image Denoising Using Neighbouring Wavelet Coefficients. Integrated Computer-Aided Engineering 12, 99–107 (2005)

    Google Scholar 

  8. Chen, G.Y., Bui, T.D., Krzyzak., A.: Image Denoising with Neighbour Dependency and Customized Wavelet and Threshold. Pattern Recognition 38, 115–124 (2005)

    Article  Google Scholar 

  9. Mihcak, M.K., Kozintsev, I., Ramchandran, K., Moulin., P.: Low-Complexity Image Denoising Based on Statistical Modeling of Wavelet Coefficients. IEEE Signal Processing Letters 6, 300–303 (1999)

    Article  Google Scholar 

  10. Sendur, L., Selesnick, I.W.: Bivariate Shrinkage Functions for Wavelet-Based Denoising Exploiting Interscale Dependency. IEEE Transactions on Signal Processing 50, 2744–2756 (2002)

    Article  Google Scholar 

  11. Sendur, L., Selesnick, I.W.: Bivariate Shrinkage with Local Variance Estimation. IEEE Signal Processing Letters 9, 438–441 (2002)

    Article  Google Scholar 

  12. Crouse, M.S., Nowak, R.D., Baraniuk, R.G.: Wavelet-Based Signal Processing Using Hidden Markov Models. IEEE Transactions on Signal Processing 46, 886–902 (1998)

    Article  MathSciNet  Google Scholar 

  13. Simoncelli, E.P., Adelson, E.H.: Noise Removal via Bayesian Wavelet Coring. In: The 3rd International Conference on Image Processing, Switzerland, pp. 379–382 (1996)

    Google Scholar 

  14. Do, M.N., Vetterli, M.: The Contourlet Transform: An Efficient Directional Multiresolution Image Representation. IEEE Transactions Image on Processing 14, 2091–2106 (2005)

    Article  MathSciNet  Google Scholar 

  15. Cunha, A.L., Zhou, J., Do, M.N.: The Nonsubsampled Contourlet Transform: Theory, Design, and Applications. IEEE Transactions on Image Processing 15, 3089–3101 (2006)

    Article  Google Scholar 

  16. Eslami, R., Radha, H.: Translation-invariant Contourlet Transform and Its Application to Image Denoising. IEEE Transactions on Image Processing 15, 3362–3374 (2006)

    Article  Google Scholar 

  17. Matalon, B., Zibulevsky, M., Elad, M.: Improved Denoising of Images Using Modeling of the Redundant Contourlet Transform. In: Proc. of the SPIE conference wavelets, vol. 5914 (2005)

    Google Scholar 

  18. Chappelier, V., Guillemot, C., Marinkovic, S.: Image Coding with Iterated Contourlet and Wavelet Transforms. In: Proc. of International Conference on Image Processing, Singapore, pp. 3157–3160 (2004)

    Google Scholar 

  19. Starck, J.L., Candes, E.J., Donoho, D.L.: The Curvelet Transform for Image Denoising. IEEE Transactions on Image Processing 11, 670–684 (2002)

    Article  MathSciNet  Google Scholar 

  20. Chen, G.Y., Kegl, B.: Image Denoising with Complex Ridgelets. Pattern Recognition 40, 578–585 (2007)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Chen, G., Zhu, WP. (2008). Image Denoising Using Neighbouring Contourlet Coefficients. In: Sun, F., Zhang, J., Tan, Y., Cao, J., Yu, W. (eds) Advances in Neural Networks - ISNN 2008. ISNN 2008. Lecture Notes in Computer Science, vol 5264. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87734-9_44

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-87734-9_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87733-2

  • Online ISBN: 978-3-540-87734-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics