Skip to main content

Bayesian VQ image filtering design with fast adaption competitive neural networks

  • Images
  • Conference paper
  • First Online:
Engineering Applications of Bio-Inspired Artificial Neural Networks (IWANN 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1607))

Included in the following conference series:

Abstract

Vector Quantization (VQ) is a well known technique for signal compression and codification. In this paper we propose the filtering of images based on the codebooks obtained from Vector Quantization design algorithms under a Bayesian framework. The Bayesian VQ filter consists in the substitution of the image pixel by the central pixel of the codevector that encodes the pixel and its neighborhood. This process can be interpreted as a Maximum A Posteriori restoration based on the codebook estimated from the image. We apply the VQ filter to noise removal in images from micromagnetic resonance. We compare our approach with the more conventional approach of applying VQ compression as a noise removal filter. Some visual results show the improvement introduced by our approach.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A.K. Jain “Fundamentals of digital image processing” Englewood-Cliffs: Prentice-Hall (1989)

    MATH  Google Scholar 

  2. S. Geman, D. Geman “Stochastic relaxation, Gibbs Distributions and the Bayesian Restoration of Images” IEEE trans. PAMI (1984) vol 6 pp. 721–741

    MATH  Google Scholar 

  3. P.C. Cosman, K.L. Oehler, E.A. Riskin, R.M. Gray (1993) “Using Vector Quantization for Image Processing,” IEEE Proceedings 81 (4) pp.1326–1341

    Article  Google Scholar 

  4. A. Gersho, R.M. Gray “Vector Quantization and Signal Compression” Kluwer (1992)

    Google Scholar 

  5. T. Kohonen “Self Organizing Maps” Springer-Verlag (1995)

    Google Scholar 

  6. R.O. Duda, P.E. Hart “Pattern Classification and Scene Analysis” Wiley (1973).

    Google Scholar 

  7. A. I. Gonzalez, M. Graña, A. D'Anjou, F.X. Albizuri, M. Cottrell “A sensitivity analysis of the Self Organizing Map as an Adaptive One-pass Non-stationary Clustering algorithm: the case of Color Quantization of image sequences” Neural Processing Letter (1997) vol 6 pp. 77–89

    Article  Google Scholar 

  8. B.K. Natarajan “Filtering Random Noise via Data Compression”, Proc. IEEE Data Compression Conference, Snowbird, Utah, pp. 60–69. (1993).

    Google Scholar 

  9. B.K. Natarajan “Filtering Random Noise from Deterministic Signals via Data Compression” IEEE Trans. on Signal Processing, vol 43, n.11, pp.2595–2605. (1995)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

José Mira Juan V. Sánchez-Andrés

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

González, A.I., Graña, M., Echave, I., Ruiz-Cabello, J. (1999). Bayesian VQ image filtering design with fast adaption competitive neural networks. In: Mira, J., Sánchez-Andrés, J.V. (eds) Engineering Applications of Bio-Inspired Artificial Neural Networks. IWANN 1999. Lecture Notes in Computer Science, vol 1607. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0100501

Download citation

  • DOI: https://doi.org/10.1007/BFb0100501

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66068-2

  • Online ISBN: 978-3-540-48772-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics