Venugopal, K and Keerthi, Sathiya S (1991) On the choice of a numerical method for solving the intersection-curve tracing problem in geometric-modelling. In: Proceedings of the 1991 Summer Computer Simulation Conference. Twenty-Third Annual Summer Computer Simulation Conference, 22-24 July 1991, Baltimore, MD, USA, pp. 1022-1027.Full text not available from this repository.
The problem of numerically computing an approximate parameterization of the curve of intersection of (n-1) surfaces in $R^n$ is considered. A precise definition of an ϵ-approximate parameterization is given. It is shown that, under reasonable conditions, the parameterization computed by marching methods using local error control is ϵ-approximate. Various integration methods are compared. A particular Runge-Kutta method shows up as the strong favourite for use in geometric modelling.
|Item Type:||Conference Paper|
|Additional Information:||Copyright of this article belongs to CSC.|
|Keywords:||computational geometry;curve fitting;integration;Runge-Kutta methods|
|Department/Centre:||Division of Electrical Sciences > Computer Science & Automation (Formerly, School of Automation)|
|Date Deposited:||21 Jan 2008|
|Last Modified:||12 Jan 2012 08:15|
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