ALGORITHMS FOR TRIGONOMETRIC CURVES (SIMPLIFICATION, IMPLICITIZATION,PARAMETERIZATION)

Authors
HONG H SCHICHO J
Citation
H. Hong et J. Schicho, ALGORITHMS FOR TRIGONOMETRIC CURVES (SIMPLIFICATION, IMPLICITIZATION,PARAMETERIZATION), Journal of symbolic computation, 26(3), 1998, pp. 279-300
Citations number
38
Categorie Soggetti
Mathematics,"Computer Science Theory & Methods",Mathematics,"Computer Science Theory & Methods
Journal title
Journal of symbolic computation → ACNP
ISSN journal
07477171
Volume
26
Issue
3
Year of publication
1998
Pages
279 - 300
Database
ISI
SICI code
0747-7171(1998)26:3<279:AFTC(I>2.0.ZU;2-R
Abstract
A trigonometric curve is a real plane curve where each coordinate is g iven parametrically by a truncated Fourier series. The trigonometric c urves frequently arise in various areas of mathematics, physics, and e ngineering. Some trigonometric curves can also be represented implicit ly by bivariate polynomial equations. In this paper, we give algorithm s for (a) simplifying a given parametric representation, (b) computing an implicit representation from a given parametric representation, an d (c) computing a parametric representation from a given implicit repr esentation. (C) 1998 Academic Press.