Skip to main content

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6216))

Included in the following conference series:

  • 2273 Accesses

Abstract

Wavelet transform has the good characteristic of time-frequency locality and many researches show that it can perform well for denoising in smooth and singular areas. But it isn’t suitable for describing the signals, which have high dimensional singularities. Curvelet is one of new multiscale transform theories, which possess directionality and anisotropy, and it breaks some inherent limitations of wavelet in representing directions of edges in image. So it has superiority in some image analysis, such as image denoising. This paper proposes a new method for denoising, which combines curvelet transform and wavelet transform. The experiment indicates that this method has better performance.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
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.

Similar content being viewed by others

References

  1. Jiao, L., Tan, S.: Development and Prospect of Image Multiscale Geometric Analysis. Acta Electronica Sinica 31(12A), 1975–1981 (2003)

    Google Scholar 

  2. Starck, J.L., Elad, M., Donoho, D.L.: Redundant multiscale transforms and their application for morphological component analysis. Adv. Imaging Electron phys. 82, 287–348 (2004)

    Google Scholar 

  3. Liu, K., Guo, L., Li, H., et al.: Image fusion algorithm using stationary wavelet transform. Computer Engineering and Applications 43(12), 59–61 (2007)

    Google Scholar 

  4. Donoho, D., Duncan, M.: Digital Curvelet Transform: Strategy, Implementation and Experiments. In: Proc. SPIE, vol. 4056, pp. 12–30 (2000)

    Google Scholar 

  5. Saevarsson, B.B., Sveinsson, J.R., Benediktsson, J.A.: Combined wavelet and curvelet denoising of SAR images. In: Proceedings of Geoscience and Remote Sensing Symposium, IGARSS ’04, vol. (6), pp. 4235–4238 (2004)

    Google Scholar 

  6. Saevarsson, B.B., Sveinsson, J.R., Benediktsson, J.A.: Combined Curvelet and Wavelet Denoising. In: Proceedings of the 7th Signal Processing Symposium, NORSIG 2006, Nordic, June 2006, pp. 318–321 (2006)

    Google Scholar 

  7. Starck, J.L., Candes, E., Donoho, D.L.: Astronomical Image Representation by the Curvelet Transform. Astronomy and Astrophysics 398(2), 785–800 (2003)

    Article  Google Scholar 

  8. Candes, E.J., Demanet, L., Donoho, D.L., Ying, L.: Fast Discrete Curvelet Transforms. SIAM Multiscale Model. Simul. 3, 861–899 (2006)

    Article  MathSciNet  Google Scholar 

  9. Candes, E.J., Donoho, D.L.: New tight frames of Curvelets and Optimal representations of Objects with C2 singularities. Comm., on Pure and Appl. Math. 57(2), 219–266 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  10. Starck, J.L., Candes, E., Donoho, D.: The Curvelet Transform for Image Denoising. IEEE Trans. Image Processing 11(6), 670–684 (2002)

    Article  MathSciNet  Google Scholar 

  11. Chang, S.G., Vetterli, M.: Spatial adaptive wavelet thresholding for image denoising. In: Proceeding of International Conference on Image Processing, October 26-29, vol. 2, pp. 374–379 (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, Y., Zhang, S., Hu, J. (2010). Combining Curvelet Transform and Wavelet Transform for Image Denoising. In: Huang, DS., Zhang, X., Reyes García, C.A., Zhang, L. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence. ICIC 2010. Lecture Notes in Computer Science(), vol 6216. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14932-0_40

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-14932-0_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14931-3

  • Online ISBN: 978-3-642-14932-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics