Skip to main content

The Mathematics of Two-Dimensional Graphics

  • Chapter
  • 453 Accesses

Abstract

A major goal in computer graphics is to create pictorial displays out of mathematical descriptions of images. This requires the creation (usually by the host computer) of a display file that is then sent to the graphic device. In vector graphics where the device expects commands such as “draw vector,” the contents of the display file are for the most part primitive instructions. In raster graphics, instructions such as “draw vector” are not primitive and they are translated by the device into pixel configurations in the refresh memory. Strictly speaking, most raster graphics devices do not have a display file. However, it is useful to think in terms of such a file, regardless of how the display device handles it. The creation of a display file is trivial for very simple displays but becomes quite challenging as the complexity of the desired display increases.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Relevant Literature

  1. Fishback, W. T. Projective and Euclidean Geometry, New York: J. Wiley, 1969.

    MATH  Google Scholar 

  2. Guibas, L. J. and Yao, F. F. “On Translating a Set of Rectangles,” Proc. Twelfth ACM Symp. on Theory of Computing, Los Angeles, Calif., (April 1980), pp. 154–160.

    Google Scholar 

  3. Lehmann, C. H. Analytic Geometry, New York: J. Wiley, 1942. (12th printing, 1961.)

    Google Scholar 

  4. Maxwell, E. A. Plane Projective Geometry Based on the use of General Homogeneous Coordinates, Cambridge: University Press, 1957 (reprint of first edition of 1946).

    Google Scholar 

  5. Pedoe, D. An Introduction to Projective Geometry, New York: Mac-Millan, 1963.

    MATH  Google Scholar 

  6. Rosenbaum, R. A. Introduction to Projective Geometry and Modern Algebra, Reading, Mass: Addison-Wesley, 1963.

    MATH  Google Scholar 

  7. Todd, J. A. Projective and Analytic Geometry, New York: Pitman, 1948.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Computer Science Press, Inc.

About this chapter

Cite this chapter

Pavlidis, T. (1982). The Mathematics of Two-Dimensional Graphics. In: Algorithms for Graphics and Image Processing. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93208-3_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-93208-3_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-93210-6

  • Online ISBN: 978-3-642-93208-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics