ABSTRACT

Bezier triangles, short for triangular Bezier patches, actually owe their discovery to P. de Casteljau from Citroen, who outlined their theory in the two technical reports [42] and [43]. Here, we are interested in their rational counterparts, but for the sake of simplicity, we start with an outline of integral, polynomial Bezier triangles in projective space. These will then be projected onto their rational counterparts.