C2 biquintic interpolation spline curve and surface

In this paper, we derive a new basis for constructing C2 quintic interpolation spline curve that is called BB spline. The C2 biquintic interpolation spline surface is briefly constructed by tension-product and has properties of interpolation, C2-continuity and locality. The local shape of interpolation spline curve and surface can be modified by the change of shape-parameters. The effects of the shape-parameters are also discussed.