CONVEXITY-PRESERVING INTERPOLATORY PARAMETRIC SPLINES OF NONUNIFORM POLYNOMIAL DEGREE

In this paper we present a simple automatic algorithm for constructing C2 continuous planar parametric interpolants, which preserve the loca l-convexity information contained in the interpolation point set and t he imposed boundary conditions. The algorithm exploits the shape-prese rving capabilities of a special family of polynomial splines of non-un iform degree, introduced, for the case of functional data, in (Kaklis and Pandelis, 1990). The numerical performance of the algorithm is dis cussed for three data sets and various parameterizations.