Abstract
A simple methods is given for constructing the Bézier 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 Bézier points of C 2 splines from their B-spline control points. The new construction allows the use of all results of the powerful Bernstein-Bézier 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.
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