Journal of Prime Research in Mathematics

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:


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.


Bézier rational surfaces.