Simultaneous blending of convex polyhedra by S32 algebraic splines

In this paper, we present a method of simultaneous blending of implicitly defined convex polyhedral angles and solid models. This algorithm starts with a new suitable partition of the nn-simplex over which the algebraic splines are defined. Then a cubic algebraic spline is constructed which meets the initial surfaces with G2G2 continuity. Examples are provided to demonstrate the blending process. The results show some advantages of the new blending method.