A Client-Server System for the Visualisation of Algebraic Surfaces on the Web

Richard Morris
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Richard Morris: University of Leeds, Department of Statistics

A chapter in Algebra, Geometry and Software Systems, 2003, pp 239-253 from Springer

Abstract: 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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-05148-1_13

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DOI: 10.1007/978-3-662-05148-1_13

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