Skip to main content

Multiresolution Support for Adaptive Image Restoration Using Neural Networks

  • Conference paper
  • First Online:
Artificial Neural Networks — ICANN 2002 (ICANN 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2415))

Included in the following conference series:

Abstract

This paper treats the restoration problem of degraded and noisy image. In order to keep the image structures unaltered, an adaptive regularization scheme is employed that allows better compromise between the inversion degradation process and the smoothing. The inversion process is achieved by means the modified Hopfield neural network. Moreover, the smoothing operation is accomplished in the wavelets basis by using the à trou algorithm. A multiresolution support is deduced, and combined with a statistics analysis, for computing the adaptive regularization, in which, each scale (sub-image) is assigned to one regularization parameter according to a spatial activity of the pixels which constitute it.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

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. Gonzalez, R.C., Woods, R.E.: Digital Image Processing. Addisson-Wesley (1992)

    Google Scholar 

  2. Banham, M.R., Katsaggelos, A.K.: Digital Image Restoration. IEEE Signal Processing Magazine. (March 1997) 24–41

    Google Scholar 

  3. Strack, J.L., Murtagh, F., Bijaoui, A.: Multiresolution Suppport Applied to Image Filtering and Restoration. Graphical Models and Image Processing. 57 (1995) 420–431

    Article  Google Scholar 

  4. Murtagh, F., Strack, J.L., Bijaoui, A.: Image Restoration with Noise Suppression Using a Multiresolution Support. Astronomy and Astrophysics Supplement Series. (1995) 179–189

    Google Scholar 

  5. Murtagh, F., Strack, J.L.: Image Processing through Multiscale Analysis and Measurement Noise Modeling. Statistics and Computing. 10 (2000) 95–103

    Article  Google Scholar 

  6. Murtagh, F., Strack, J.L., Berry, M.W.: Overcoming the Curse of Dimensionality in Clustering by Means of the Wavelet Transform. The Computer Journal, Vol. 43. 3 (2000) 107–120

    Article  Google Scholar 

  7. Ghennam, S., Benmahammed, K.: Adaptive Image Restoration by Neural Networks. VIPromCom-2001 Proceedings, Zagreb, Croatia. (2001) 237–240

    Google Scholar 

  8. Ghennam, S., Benmahammed, K.: Image Restoration using Neural Networks. Lecture Notes in Computer Sciences, from Springer-Verlag, Vol. 2085. (2001) 227–234

    Google Scholar 

  9. Paik, J.K., Katsaggelos, A.K.: Image Restoration Using Modified Hopfield Neural Network. IEEE Trans. on Image Processing, Vol. 1. (January 1992) 49–63

    Google Scholar 

  10. Sun, Y.: A Generalized Updating Rule For Modified Hopfield Neural Network For Quadratic Optimization. Neurocomputing. 19 (1998) 133–143

    Article  Google Scholar 

  11. Sun, Y.: Hopfield Neural Network Based Algorithms For Image Restoration and Reconstruction-Part I: Algorithms and Simulation. IEEE Trans. on Signal Processing, Vol. 48.7 (July 2000) 2119–2131

    Google Scholar 

  12. Kang, M. G., Katsaggelos, A. K.: General Choice of the Regularization Functional in Regularized Image Restoration. IEEE Trans. on Image Processing, Vol. 4.5 (May 1995)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ghennam, S., Benmahammed, K. (2002). Multiresolution Support for Adaptive Image Restoration Using Neural Networks. In: Dorronsoro, J.R. (eds) Artificial Neural Networks — ICANN 2002. ICANN 2002. Lecture Notes in Computer Science, vol 2415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46084-5_194

Download citation

  • DOI: https://doi.org/10.1007/3-540-46084-5_194

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44074-1

  • Online ISBN: 978-3-540-46084-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics