Curvature Continuity Solid Blending

This paper presents a solid blending method with up to curvature continuities. The method is based on the solution to a vector-valued sixth order partial differential equation containing three parametric variables subjected to solid blending boundary constraints. A simple and efficient method is developed to solve the partial differential equation. The shape of the created blending solids is manipulated effectively through changing tangent and curvature boundary constraints together with vector-valued shape control parameters. The blending examples given in this paper demonstrated the validity of the proposed approach.