Sweeping Surface Generated by a Class of Generalized Quasi-cubic Interpolation Spline

Abstract

Abstract. In this paper we present a new method for the model of interpolation sweep surfaces by the C 2 -continuous generalized quasicubic interpolation spline. Once given some key position, orientation and some points which are passed through by the spine and initial cross-section curves, the corresponding sweep surface can be constructed by the introduced spline function without calculating control points inversely as in the cases of B-spline and Bézier methods or solving equation system as in the case of cubic polynomial interpolation spline. A local control technique is also proposed for sweep surfaces using scaling function, which allows the user to change the shape of an object intuitively and effectively. On the basis of these results, some examples are given to show how the method is used to model some interesting surfaces.