Affiliation:
1. Computer Graphics Laboratory, New York Institute of Technology, Old Westbury, New York
Abstract
Many interesting surfaces can be written as polynomial functions of the spatial coordinates, often of low degree. We present a method based on a ray casting algorithm, extended to work in more than three dimensions, to produce pictures of these surfaces. The method uses a symbolic algebra system to automatically derive the equation of intersection between the ray and the surface and then solves this equation using an exact polynomial root finding algorithm.
Included are illustrations of the cusp catastrophe surface, and two unusually shaped quartic surfaces, Kummer's quadruple and Steiner's surface.
Publisher
Association for Computing Machinery (ACM)
Subject
Computer Graphics and Computer-Aided Design,General Computer Science
Cited by
43 articles.
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