Bezier representation of epitrochoids and hypotrochoids

Citation
J. Sanchez-reyes, Bezier representation of epitrochoids and hypotrochoids, COMPUT AID, 31(12), 1999, pp. 747-750
Citations number
10
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTER-AIDED DESIGN
ISSN journal
00104485 → ACNP
Volume
31
Issue
12
Year of publication
1999
Pages
747 - 750
Database
ISI
SICI code
0010-4485(199910)31:12<747:BROEAH>2.0.ZU;2-C
Abstract
We developed a simple method to obtain the rational Bezier representation f or segments of epitrochoids and hypotrochoids. This was achieved by adding two circular arcs expressed in Bernstein-like trigonometric basis functions , and considering the equivalence between this trigonometric form and the s tandard rational Bezier representation. (C) 1999 Elsevier Science Ltd. All rights reserved.