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. (Request a copy)Abstract
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 |
|---|---|
| Publisher: | CSC |
| 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 |
| Date Deposited: | 21 Jan 2008 |
| Last Modified: | 12 Jan 2012 08:15 |
| URI: | http://eprints.iisc.ac.in/id/eprint/11189 |
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