ABSTRACT
B-spline methods have several advantages over Bezier techniques. B-spline curves and surfaces are piecewise polynomials that meet smoothly at their common boundaries independent of the location of the control points. This guaranteed smoothness allows designers to use low degree polynomial pieces to construct complicated freeform shapes. In addition, a control point of a B-spline curve or surface has no influence on parts of the curve or surface that are far removed from the control point. Thus B-splines provide designers with local control over the shape of a curve or surface.
