A Surface Subdivision Scheme Based on Four-Directional S^1_3 Non-Box Splines

Abstract

In this paper, we propose a novel surface subdivision scheme called non-box subdivision, which is generalized from fourdirectional S13 on-box splines. The resulting subdivision surfaces achieve C1 continuity with the convex hull property. This scheme can be regarded as either a four-directional subdivision or a special quadrilateral subdivision. When used as a quadrilateral subdivision, the proposed scheme can control the shape of the limit surface more flexibly than traditional schemes due to the natural introduction of auxiliary face control vertices.