Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200 A, B-3030 Heverlee, Belgium
Abstract:
We present an efficient algorithm for computing the Bézier points of a generalized cubic β-spline curve and show the connection with multiple knot insertion. We also consider the inverse problem of determining the β-spline vertices of a composite G2 Bézier curve. Finally, we briefly discuss how to construct the Bézier net of a tensor product β-spline surface.