Skip to main content

Abstract

Image operations play an important role in computer graphics. Unless we explicitly say otherwise, in this chapter we will suppose that a digital image is given by its matrix representation. We’ll illustrate certain operations using one-dimensional signals instead of images; this allows a better understanding of the two-dimensional case. You can always think of a one-dimensional signal as the restriction of an image to a single scanline (row of its matrix representation).

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
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover 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. Adelson, E. H., Anderson, C. H., Bergen, J. R., Burt, P. J., and Ogden, J. M. (1984). Pyramid methods in image processing. RCA Engineer, 29(6).

    Google Scholar 

  2. Burt, P. J. and Adelson, E. H. (1983). The laplacian pyramid as a compact image code. IEEE Trans. Commun., 532–540.

    Google Scholar 

  3. Catmull, E. (1979). A tutorial on compensation tables. Computer Graphics (SIGGRAPH ’79 Proceedings), 13(3):1–7.

    Article  Google Scholar 

  4. Cook, R. L. and Torrance, K. E. (1981). A reflectance model for computer graphics. Computer Graphics (SIGGRAPH ’81 Proceedings), 15(3):307–316.

    Article  Google Scholar 

  5. Daubechies, I. (1992). Ten Lectures on Wavelets. Number 61 in CBMS-NSF Series in Applied Mathitatics. SIAM Publications, Philadelphia.

    Google Scholar 

  6. Hall, R. A. (1989). Illumination and Color in Computer Generated Imagery. Springer-Verlag, New York.

    Google Scholar 

  7. Jahne, B. (1993). Digital Image Processing: Concepts, Algorithms and Scientific Applications, second ed. Springer-Verlag, New York.

    Google Scholar 

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

    Google Scholar 

  9. Meyer, Y. (1989). Wavelets Algorithms and Applications. Society for Industrial and Applied Mathitatics (SIAM), Philadelphia.

    Google Scholar 

  10. Pavlidis, T. (1982). Algorithms for Graphics and Image Processing. Computer Science Press, Rockville, MD.

    Google Scholar 

  11. Ritter, G. X., Wilson, J. N., and Davidson, J. L. (1990). Image algebra: An overview. Computer Vision, Graphics and Image Processing, 49:297–331.

    Article  Google Scholar 

  12. Russ, J. C. (1989). The Image Processing Handbook. CRC Press, Boca Raton, FL.

    Google Scholar 

  13. Serra, J. P. (1982). Image Analysis and Mathitatical Morphology. Acaditic Press, New York.

    Google Scholar 

  14. Serra, J. P. (1988). Image Analysis and Mathitatical Morphology: Theoretical Advances. Acaditic Press, London.

    Google Scholar 

  15. Wolberg, G. (1990). Digital Image Warping. IEEE Computer Society Press, Washington, DC.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag London Limited

About this chapter

Cite this chapter

Velho, L., Frery, A., Gomes, J. (2009). Operations on Images. In: Image Processing for Computer Graphics and Vision. Texts in Computer Science. Springer, London. https://doi.org/10.1007/978-1-84800-193-0_7

Download citation

  • DOI: https://doi.org/10.1007/978-1-84800-193-0_7

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84800-192-3

  • Online ISBN: 978-1-84800-193-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics