A C/sup 2/ interpolant for spherical scattered data

Given a set of points defined over a sphere, we wish to interpolate these points such that the resulting surface possesses C/sup 2/ continuity. The basis of our work is a hybrid interpolant which is a convex combination of three quintic Bezier schemes. This interpolant is of degree 9 over degree 4 and it requires the evaluation of 27 control points.