Animation of Algebraic Surfaces

Dietmar Saupe and Matthias Ruhl
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Dietmar Saupe: Universität Freiburg, Institut für Informatik
Matthias Ruhl: Universität Freiburg, Institut für Informatik

A chapter in Visualization and Mathematics, 1997, pp 83-92 from Springer

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.

Keywords: Algebraic Surface; Implicit Surface; Kummer Surface; Public Domain Software; Color Section (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59195-2_6

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DOI: 10.1007/978-3-642-59195-2_6

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