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.
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© 1997 Springer-Verlag Berlin Heidelberg
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Saupe, D., Ruhl, M. (1997). Animation of Algebraic Surfaces. In: Hege, HC., Polthier, K. (eds) Visualization and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59195-2_6
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DOI: https://doi.org/10.1007/978-3-642-59195-2_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63891-6
Online ISBN: 978-3-642-59195-2
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