Polynomial bases for quadratic and cubic polynomials which yield control points with small convex hulls (Q1113261)

The author presents a basis of the space of curves parametrizable by quadratic and cubic polynomials that give base points whose convex hull is much smaller than that of Béziers control points for Bernstein- Bézier splines together with an algorithm that converts Bézier curves into his curves. Because the underlying polynomials are not Bernstein, many useful properties of Bernstein-Bezier curves are lost, so the new basis is useful only in problems helped by small convex hulls.