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Animation of Algebraic Surfaces

In: Visualization and Mathematics

Author

Listed:
  • Dietmar Saupe

    (Universität Freiburg, Institut für Informatik)

  • Matthias Ruhl

    (Universität Freiburg, Institut für Informatik)

Abstract

Summary This contribution is a practise-and-experience report on the visualization of parameter dependent algebraic surfaces. An important example of a deformation of algebraic surfaces was proposed by Kummer in the last century. The techniques in computer graphics algorithms, software and hardware for the animated real-time display of many types of surfaces have been established in recent years. We present an application of this technology and a raytracer to the Kummer family and others. The purpose of this report is to demonstrate the feasibility of such studies by combining several pieces of readily available software and off-the-shelf hardware with only a minimal investment of extra programming. Raytracing produces high quality renderings, however, the method requires much processing time. Faster alternatives are methods yielding polygonalizations or using physically-based approaches. These provide less quality but allow near real-time user interaction. We present some examples for them.

Suggested Citation

  • Dietmar Saupe & Matthias Ruhl, 1997. "Animation of Algebraic Surfaces," Springer Books, in: Hans-Christian Hege & Konrad Polthier (ed.), Visualization and Mathematics, pages 83-92, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59195-2_6
    DOI: 10.1007/978-3-642-59195-2_6
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