Journal of Prime Research in Mathematics
Vol. 1 (2005), Issue 1, pp. 184 – 192
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
On the conversion of rational triangular Bézier surfaces and multi-sided patches
Germain E. Randriambelosoa
Departement of Mathematics and Informatic, University of Tananarive, Tananarive Madagascar.
Malik Zawwar Hussain
Departement of Mathematics, University of the Punjab, Lahore, Pakistan.
\(^{1}\)Corresponding Author: grandri@yahoo.fr
Copyright © 2005 Germain E. Randriambelosoa and Malik Zawwar Hussain. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2005
Abstract
By a convenient parameter change we give a necessary and sufficient condition for the
conversion of a degree \(n\) rational triangular Bézier surfaces to a degree \(n × n\) rectangular surface whose one of the four edges is reduced to a single multiple point. Using then the method of base point we obtain the explicit expression of multi-sided patches in Bézier form.
conversion of a degree \(n\) rational triangular Bézier surfaces to a degree \(n × n\) rectangular surface whose one of the four edges is reduced to a single multiple point. Using then the method of base point we obtain the explicit expression of multi-sided patches in Bézier form.
Keywords:
Bézier rational surfaces.