Sweeping based controllable surface blending

Abstract

In this paper, we propose a novel sweeping surface based blending method. A generator defined by the solution of a vector-valued fourth order ordinary differential equation is swept along the two trimlines, which meets the boundary tangent constraints of the primary surfaces at the trimlines. The blending surface generated therefore satisfies both the positional and tangential continuity constraints at the interfaces between the primary surfaces and the blending surface. Since the vector-valued shape control parameters are embedded in the blending surface, its shape can be effectively controlled and manipulated by adjusting these vector-valued shape control parameters. Several surface blending examples are given to demonstrate the applications of the proposed method.