Skip to main content

Abstract

Image processing and analysis based on continuous or discrete image transforms is a classic processing technique. Image transforms are widely used in image filtering, image data compression, image description, etc.; they were actively studied at the end of the Sixties and in the beginning of the Seventies. This research was highly motivated by space flight achievements; first, an efficient method of image data transmission was needed, and second, transmitted images were often received locally or globally corrupted. Both analogue and discrete methods were investigated — analogue optical methods suffered from a lack of suitable high-resolution storage material, and the rapid development of digital computer technology slowed analogue research in the middle of the Seventies. However, much research is now being devoted to optical methods again, especially with new technological achievements in developing high-resolution optical storage materials. The main focus is in possible real-time image processing.

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. N Ahmed and K R Rao. Orthogonal Transforms for Digital Signal Processing. Springer Verlag, Berlin, 1975.

    Book  MATH  Google Scholar 

  2. H C Andrews. Computer Techniques in Image Processing. Academic Press, New York, 1970.

    Google Scholar 

  3. H C Andrews and B R Hunt. Digital Image Restoration. Prentice-Hall, Englewood Cliffs, NJ, 1977.

    Google Scholar 

  4. R H T Bates and M J McDonnell. Image Restoration and Reconstruction. Clarendon Press, Oxford, England, 1986.

    Google Scholar 

  5. E R Dougherty and C R Giardina. Image Processing - Continuous to Discrete, Vol.1. Prentice-Hall, Englewood Cliffs, NJ, 1987.

    MATH  Google Scholar 

  6. D F Dudgeon and R M Mersereau. Multidimensional Digital Signal Processing. Prentice-Hall, Englewood Cliffs, NJ, 1984.

    MATH  Google Scholar 

  7. M Francon. Optical Image Formation and Processing. Academic Press, New York, 1979.

    Google Scholar 

  8. Gonzalez and Wintz 87] R C Gonzalez and P Wintz. Digital Image Processing. Addison-Wesley, Reading, Ma, 2nd edition, 1987.

    Google Scholar 

  9. E L Hall. Computer Image Processing and Recognition. Academic Press, San Diego-New York, 1979.

    MATH  Google Scholar 

  10. T S Huang. Two-Dimensional Digital Signal Processing II: Transform and Median Filters. Springer Verlag, Berlin-New York, 1981.

    Book  MATH  Google Scholar 

  11. A K Jain. Fundamentals of Digital Image Processing. Prentice-Hall, Englewood Cliffs, NJ, 1989.

    MATH  Google Scholar 

  12. A.C. Kak and M. Slaney. Principles of Computerized Tomographic Imaging. IEEE, Piscataway, NJ, 1988.

    MATH  Google Scholar 

  13. J S Lim. Two-Dimensional Signal and Image Processing. Prentice-Hall, Englewood Cliffs, NJ, 1990.

    Google Scholar 

  14. Nussbaumer 82] H J Nussbaumer. Fast Fourier Transform and Convolution Algorithms. Springer Verlag, Berlin, 2nd edition, 1982.

    Google Scholar 

  15. T Pavlidis. Algorithms for Graphics and Image Processing. Computer Science Press, New York, 1982.

    Book  Google Scholar 

  16. Pratt 91] W K Pratt. Digital Image Processing. John Wiley and Sons, New York, 2nd edition, 1991.

    Google Scholar 

  17. K R Rao and P Yip. Discrete Cosine Transform, Algorithms, Advantages, Applications. Academic Press, Boston, Ma, 1990.

    MATH  Google Scholar 

  18. A Rosenfeld and A C Kak. Digital Picture Processing. Academic Press, New York, 2nd edition, 1982.

    Google Scholar 

  19. J L C Sanz, E B Hinkle, and A K Jain. Radon and Projection Transform-Based Computer Vision. Springer Verlag, Berlin-New York, 1988.

    Book  MATH  Google Scholar 

  20. A R Shulman. Optical Data Processing. John Wiley and Sons, New York, 1970.

    Google Scholar 

  21. H Stark. Applications of Optical Fourier Transforms. Academic Press, New York, 1982.

    Google Scholar 

  22. G Wolberg. Digital Image Warping. IEEE, Los Alamitos, Ca, 1990.

    Google Scholar 

  23. L P Yaroslayskii. Digital Picture Processing: An Introduction. Springer Verlag, Berlin-New York, 1985.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Milan Sonka, Vaclav Hlavac and Roger Boyle

About this chapter

Cite this chapter

Sonka, M., Hlavac, V., Boyle, R. (1993). Linear discrete image transforms. In: Image Processing, Analysis and Machine Vision. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3216-7_11

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-3216-7_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-412-45570-4

  • Online ISBN: 978-1-4899-3216-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics