ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

On the choice of a numerical method for solving the intersection-curve tracing problem in geometric-modelling

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.

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
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
URI: http://eprints.iisc.ernet.in/id/eprint/11189

Actions (login required)

View Item View Item