Skip to main content

Entropy Reduction of Foveated DCT Images

  • Conference paper
Advanced Concepts for Intelligent Vision Systems (ACIVS 2005)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3708))

  • 1158 Accesses

Abstract

This contribution addressees the problem of the theoretical assessment of the bit rate reduction that can be achieved through foveated image compression for codecs operating in the DCT domain. Modeling the image components as Compound Gaussian Random Fields (CGRFs), we extend the mathematical analysis of the DCT coefficient distributions reported in [1] to foveated images. As a general result, we demonstrate that the DCT coefficients of low pass filtered image blocks can be effectively modelled with Laplacian distributions. This property allows us to express the Shannon rate reduction achievable with foveated compression in a simple and compact form as function of the foveal filter coefficients. Experiments results used to validate the theoretical analysis are also included.

This work was carried out in the context of the research activities of CoRiTeL Consortium, Via Anagnina 203, 00040 Rome, Italy.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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.

References

  1. Lam, E.Y., Goodman, J.W.: A Mathematical Analysis of the DCT Coefficient Distribution for Images. IEEE Trans. Image Processing 9(10), 1661–1666 (2000)

    Article  MATH  Google Scholar 

  2. Sheikh, H.R., Liu, S., Evans, B.L., Bovik, A.C.: Real-Time Foveation Techniques For H.263 Video Encoding Software. In: 2001 IEEE Int. Conf. on Acoustics, Speech, and Signal Processing, May 2001, vol. 3, pp. 1781–1784 (2001)

    Google Scholar 

  3. Wang, Z., Lu, L.G., Bovik, A.C.: Foveation Scalable Video Coding with Automatic Fixation Selection. IEEE Trans. Image Processing 12(2) (February 2003)

    Google Scholar 

  4. Itti, L.: Automatic Foveation for video compression using a neurobiological model of visual attention. IEEE Trans. Image Processing 13(10) (October 2004)

    Google Scholar 

  5. Geisler, W.S., Perry, J.S.: A real-time foveated multi-resolution for low-bandwidth video communication. In: Proc. SPIE, vol. 3299, pp. 294–305 (1998)

    Google Scholar 

  6. Yao, K.: A Representation Theorem and Ist Applications to Sperically-Invariant Random Processes. IEEE Trans. On Information Theory IT-19(5), 600–608 (1973)

    Google Scholar 

  7. Picinbono, B.: Sperically Invariant and Compound Gaussian Stochastic Processes. IEEE Trans. On Information Theory IT-16(1), 77–79 (1970)

    Article  MathSciNet  Google Scholar 

  8. Chitprasert, B., Rao, K.R.: Discrete cosine transform filtering. Signal Processing 19(3) (April 1990)

    Google Scholar 

  9. Berger, T.: Optimum Quantizers and Permutation Codes. IEEE Trans. Info. Theory IT-18(6) (November 1972)

    Google Scholar 

  10. Netravali, B.H.: Digital Pictures: Representations, Compression, and Standards (Applications of Communications Theory). Plenum Pub. Co., New York (1995)

    Google Scholar 

  11. http://www.ux.his.no/~karlsk/proj99

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Iacovoni, G., Morsa, S., Neri, A. (2005). Entropy Reduction of Foveated DCT Images. In: Blanc-Talon, J., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2005. Lecture Notes in Computer Science, vol 3708. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11558484_50

Download citation

  • DOI: https://doi.org/10.1007/11558484_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29032-2

  • Online ISBN: 978-3-540-32046-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics