Abstract
Algebraic surfaces, defined as the zero set of a polynomial function in three variables, present a particular problem for visualising, especially if the surface contains singularities. Most algorithms for constructing a polygonization of the surface will miss the singular points. We present an algorithm for polygonizing such surfaces which attempts to get accurate representations of the singular points. A client-server approach, with a Java applet and a C program as back end, is used to enable the visualisation of the polygonal mesh in a web browser. This system allows algebraic surfaces to be viewed in any web browser and on any platform.
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Morris, R. (2003). A Client-Server System for the Visualisation of Algebraic Surfaces on the Web. In: Joswig, M., Takayama, N. (eds) Algebra, Geometry and Software Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05148-1_13
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DOI: https://doi.org/10.1007/978-3-662-05148-1_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05539-3
Online ISBN: 978-3-662-05148-1
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