Skip to main content

Abstract

Each year, terabytes of image data- both medical and non medical- are generated which substantiates the need of image compression. In this paper, the correlation properties of wavelets are utilised in linear predictive coding to compress images. The image is decomposed using a one dimensional wavelet transform. The highest level approximation and a few coefficients of details in every level are retained. Using linear prediction on these coefficients the image is reconstructed.With less predictors and samples from the original wavelet coefficients compression can be achieved. The results are appraised in objective and subjective manner.

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

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. Maragos, P., Schafer, R.W., Mersereau, R.M.: Two-Dimensional Linear Prediction and Its Application to Adaptive Predictive Coding of Images processing in the context of a visual model. IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP  32(6), 1213–1229 (1984)

    Google Scholar 

  2. Rajagopalan, R., Orchard, M.T., Ramchandran, K.: Optimal Supports for Linear Predictive Models. IEEE Transactions on Signal Processing 44(12), 3150–3153 (1996)

    Article  Google Scholar 

  3. Makhoul, J.: Linear Prediction. Proceedings of IEEE 63(4), 561–579 (1975)

    Article  Google Scholar 

  4. Kharate, G.K., Patil, V.H., Bhale, N.L.: Selection of Mother Wavelet for Image Compression on Basis of Nature of Image. Journal of Multimedia, 44–51 (2007)

    Google Scholar 

  5. Vidhya, K., Shenbagadevi, S.: Performance Analysis of Medical Image Compression. In: Proceedings of International Conference on Signal Processing Systems, pp. 979–983. IEEE Computer Society, Washington (2009)

    Google Scholar 

  6. Masud, S., Canny, J.V.M.: Finding a Suitable Wavelet for Image Compression Applications. In: Proc. IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 5, pp. 2581–2584 (May 1998)

    Google Scholar 

  7. Strang, G., Nguyen, T.: Wavelets and Filter Banks. Wellesley Cambridge Press, Wellesley (1996)

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  9. Ruedin, A.M.C., Acevedo, D.G.: Prediction of coefficients for Lossless Compression of Multispectral Images. In: Satellite Data Compression, Communications, and Archiving. SPIE, vol. 5889, 58890N, pp. 202–211(2005)

    Google Scholar 

  10. Lewis, A.S., Knowles, G.: Image Compression Using the 2-D Wavelet Transform. IEEE Transactions on Image Processing 1(2), 244–250 (1992)

    Article  Google Scholar 

  11. Shahhoseini, E., Nejad, N.A., Behnam, H., Shahhoseini, A.: A new approach to compression of medical ultrasound images using wavelet transform. In: International Conference on Advances in Circuit, Electronics and Micro-Electronics, pp. 40–44. IEEE Computer Society, Washington (2010)

    Google Scholar 

  12. Hu, J.H., Wang, Y., Cahill, P.T.: Multispectral Code Excited Linear Prediction Coding and Its Application in Magnetic Resonance Images. IEEE Transactions on Image Processing 6(11), 1555–1566 (1997)

    Article  Google Scholar 

  13. Hayes, M.H.: Statistical Digital Signal Processing and Modeling, pp. 108–116, 188–200. John Wiley, New York (1996)

    Google Scholar 

  14. Huang, J.S., Nguyen, D.T., Negnevitsky, M., Philips, C.J.E.: Correlation Properties of Wavelet Transform and Applications in Image Coding. In: Proceedings of Fifth International Symposium on Signal Processing and its Applications, pp. 611–614 (August 1999)

    Google Scholar 

  15. Gonzalez, R.C., Woods, R.E.: Digital Image Processing, pp. 419–420. Prentice-Hall, India (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

About this paper

Cite this paper

Arya Devi, P.S., Mini, M.G. (2012). Compression of Gray Scale Images Using Linear Prediction on Wavelet Coefficients. In: Meghanathan, N., Chaki, N., Nagamalai, D. (eds) Advances in Computer Science and Information Technology. Computer Science and Information Technology. CCSIT 2012. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27317-9_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-27317-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27316-2

  • Online ISBN: 978-3-642-27317-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics