Curvature continuous curves and surfaces

A simple methods is given for constructing the Bezier points of curvature continuous cubic spline curves and surfaces from their B-spline control points. The method is similar to the well-known construction of Bezier points of C^2 splines from their B-spline control points. The new construction allows the use of all results of the powerful Bernstein-Bezier technique in the realm of geometric splines. A simple introduction to nu- and beta-splines is also derived, as well as some simple geometric properties of beta-splines.