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: grandri@yahoo.fr

### 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.

#### Keywords:

Bézier rational surfaces.