PARABOLIC BLENDING SURFACES ALONG POLYHEDRON EDGES

Abstract

In this paper parabolic blending surfaces are defined along a chain of polyhedron edges. The profile curve of each sweep surface generated for a given edge is a conic section, and every point of it moves on a conic section around a vertex. According to this, the patches at the corners are given in rational biquadratic form and they join to the cylindrical surfaces replacing the edges with 1st order continuity.