Cubic spline curves with shape control

A constructive approach is adopted to build B-spline like basis for cubic spline curves with a more general continuity than beta-continuity. This method provides not only a large variety of very interesting shape controls like biased, point, and interval tensions but, as a special case, also recovers a number of spline methods like nu-spline of Nielson[9], beta-splines[1], gamma-splines of Boehm[3] and weighted nu-splines[6]. The method for evaluating these generalized beta-splines is suggested by a transformation to Bezier form.