A projective invariant generalization of the de Casteljau algorithm

A projective invariant generalization of the de Casteljau algorithm is described by using the cross ratio and an auxiliary line. We describe the implicit form of the section conics obtained by the algorithm proposed in this paper. Finally, we show how to construct specific conic sections using this approach.

Research highlights
► Projective invariant generalization of the de Castelaju algorithm.
► Rational Bézier curves.
► Rational parameterization of conics.