Rendering Lines on Curved Surfaces

  • Jarke J. van Wijk
Part of the Focus on Computer Graphics book series (FOCUS COMPUTER)


The visualization of functions over surfaces is a classical application of scientific visualization. Several techniques, such as grid-lines, contours, and smooth shading, can be employed, each with their own advantages. The result of the combined use of those techniques is often disappointing because the lines, drawn in image space, are unrelated to the surface, rendered in object space. A better result can be achieved if the lines are modelled in three dimensions. A model for lines as semi-transparent tape stuck on the surface is presented. Its integration in rendering systems is discussed, and an implementation and results are presented.


Computer Graphic Image Space Object Space Texture Mapping Geometric Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1]
    J F Blinn. Simulation of Wrinkled Surfaces. Computer Graphics, 12(3):286–292, 1987.CrossRefGoogle Scholar
  2. [2]
    E Catmull. A Subdivision Algorithm for Computer Display of Curved Surfaces. Technical Report UTEC-CSc-74-133, University of Utah, Computer Science Department, December 1974.Google Scholar
  3. [3]
    R L Cook. Shade Trees. Computer Graphics, 18(3):223–231, 1984.CrossRefGoogle Scholar
  4. [4]
    R L Cook, L Carpenter, and E Catmull. The Reyes Image Rendering Architecture. Computer Graphics, 21(3):95–102, 1987.CrossRefGoogle Scholar
  5. [5]
    F C Crow. Summed-Area Tables for Texture Mapping. Computer Graphics, 18(3):207–212, 1984.CrossRefGoogle Scholar
  6. [6]
    J D Foley and A van Dam. Fundamentals of Interactive Computer Graphics. Addison-Wesley, 1982.Google Scholar
  7. [7]
    P Heckbert. Color Image Quantization for Frame Buffer Display. Computer Graphics, 16(3):297–307, 1982.CrossRefGoogle Scholar
  8. [8]
    H.C. Raven. Variations on a Theme by Dawson. In Proceedings of the 17th Symposium on Naval Hydrodynamics, The Hague, pages 151–172, 1988.Google Scholar
  9. [9]
    P K Robertson and J F O’Callaghan. The Application of Scene Synthesis Techniques to the Display of Multidimensional Image Data. ACM Transactions on Graphics, 4(4):247–275, 1985.CrossRefGoogle Scholar
  10. [10]
    E Tufte. The Visual Display of Quantitative Information. Cheshire, 1985.Google Scholar
  11. [11]
    T Whitted. An Improved Illumination Model for Shaded Display. Communications of the ACM, 23(6):343–349, 1980.CrossRefGoogle Scholar
  12. [12]
    L Williams. Pyramidal Parametrics. Computer Graphics, 17(3):1–11, 1983.CrossRefGoogle Scholar

Copyright information

© EUROGRAPHICS The European Association for Computer Graphics 1994

Authors and Affiliations

  • Jarke J. van Wijk

There are no affiliations available

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