Parametric -blending Curves and Surfaces

Erich Hartmann

(The Visual Computer (2001) 17, pp 1-13)

Abstract:
A simple blending method for parametric curves and surfaces is introduced which produces pencils of parametrically defined -continuous blending curves and surfaces. The method depends essentially on the parameterizations of the curves/surfaces to be blended. Hence the flexibility of the method relies on the existence of suitable parameter transformations of the given curves/surfaces. The feasibility of the blending method is demonstrated by several examples. Two design parameters (balance and thumbweight) allow to change the shape of the blend curve/surface in a predictable way.

Keywords: -continuity, -blending, parametric blending curves, parametric blending surfaces

 
Figure 1: -blending surface between two tensor product Bézier surfaces (left) and between a cylinder and an inclined plane (right)