Title :
Error analysis for the evaluation of rational Bezier curves
Author_Institution :
Dept. de Matematica Aplicada, Zaragoza Univ., Spain
Abstract :
Rational Bezier curves provide flexibility in curve design. The goal of this paper is to perform error analysis of Farin´s (1983, 1986) algorithm for the evaluation of these curves. It is shown that a similar error analysis can be applied for the algorithms in rational spaces obtained from spaces admitting shape preserving representations
Keywords :
CAD; computational geometry; curve fitting; engineering graphics; error analysis; polynomials; rational functions; curve design; error analysis; rational Bezier curve evaluation; rational spaces; shape preserving representations; Algorithm design and analysis; Error analysis; Floating-point arithmetic; Performance evaluation; Polynomials; Roundoff errors; Shape;
Conference_Titel :
Information Visualisation, 2001. Proceedings. Fifth International Conference on
Conference_Location :
London
Print_ISBN :
0-7695-1195-3
DOI :
10.1109/IV.2001.942098
