Parametric G(n) blending of curves and surfaces

We introduce a simple blending method for parametric curves and surfaces th at produces families of parametrically defined, Gn-continuous blending curv es and surfaces. The method depends essentially on the parameterizations of the curves/surfaces to be blended. Hence, the flexibility of the method re lies on the existence of suitable parameter transformations of the given cu rves/surfaces. The feasibility of the blending method is shown by several e xamples. The shape of the blend curve/surface can be changed in a predictab le way with the aid of two design parameters (thumb weight and balance).