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Drawing Lines and Curves

  • Chapter
Introduction to Computer Graphics

Part of the book series: Undergraduate Topics in Computer Science ((UTICS))

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Abstract

Drawing lines and curves on pixel graphic devices needs special attention in computer graphics. Algorithmic aspects of drawing lines and curves, especially the midpoint or Bresenham algorithm, are highlighted in this Chapter as well techniques for antialiasing to avoid staircasing effects. Examples in Java 2D are provided for the use of the techniques.

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Notes

  1. 1.

    To be precise: One addition and one subtraction.

  2. 2.

    Note that (x 0,y 0) and (x 1,y 1) are assumed to be pixels, so that x 0, x 1, y 0 and y 1 must be integer values.

  3. 3.

    H dx−dy D dy means (dx−dy) letters H followed by dy letters D.

References

  1. Bresenham, J.E.: Algorithm for computer control of a digital plotter. IBM Syst. J. 4, 25–30 (1965)

    Article  Google Scholar 

  2. Bresenham, J.E.: A linear algorithm for incremental digital display of circular arcs. Commun. ACM 20, 100–106 (1977)

    Article  MATH  Google Scholar 

  3. Brons, R.: Linguistic methods for the description of a straight line on a grid. Comput. Graph. Image Process. 3, 48–62 (1974)

    Article  MathSciNet  Google Scholar 

  4. Brons, R.: Theoretical and linguistic methods for describing straight lines. In: [6], pp. 19–57

    Google Scholar 

  5. Cyrus, M., Beck, J.: Generalized two- and three-dimensional clipping. Computers and Graphics 3, 23–28 (1978)

    Article  Google Scholar 

  6. Earnshaw, R.A. (ed.): Fundamental Algorithms for Computer Graphics. Springer, Berlin (1985)

    MATH  Google Scholar 

  7. Foley, J.D., van Dam, A., Feiner, S.K., Hughes, J.F.: Computer Graphics: Principles and Practice in C, 2nd edn. Addison-Wesley, Boston (1996)

    MATH  Google Scholar 

  8. Gupta, S., Sproull, R.E.: Filtering edges for gray-scale displays. Comput. Graph. 15, 1–5 (1981)

    Article  Google Scholar 

  9. Hearn, D., Baker, M.P.: Computer Graphics with OpenGL, 3rd edn. Pearson Prentice Hall, Upper Saddle River, NJ (2004)

    Google Scholar 

  10. Kappel, M.R.: An ellipse-drawing algorithm for raster displays. In: [6], pp. 257–280

    Google Scholar 

  11. Pitteway, M.L.V.: Algorithms for drawing ellipses or hyperbolae with a digital plotter. Comput. J. 10, 282–289 (1967)

    Article  Google Scholar 

  12. Pitteway, M.L.V., Watkinson, D.J.: Bresenham’s algorithm with gray scale. Commun. ACM 23, 625–626 (1980)

    Article  Google Scholar 

  13. Van Aken, J.R.: An efficient ellipse-drawing algorithm. IEEE Comput. Graph. Appl. 4, 24–35 (1984)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Computer Science, Ostfalia University of Applied Sciences, Wolfenbüttel, Germany

    Prof. Dr. Frank Klawonn

Authors
  1. Prof. Dr. Frank Klawonn
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© 2012 Springer-Verlag London Limited

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Klawonn, F. (2012). Drawing Lines and Curves. In: Introduction to Computer Graphics. Undergraduate Topics in Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-2733-8_3

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  • DOI: https://doi.org/10.1007/978-1-4471-2733-8_3

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2732-1

  • Online ISBN: 978-1-4471-2733-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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