A Fast Normal-Based Subdivision Scheme for Curve and Surface Design

摘要

Different from the 4-points interpolation subdivision curve scheme, the proposed subdivision curve scheme in this paper is based on cube Bezier curve. More importantly, the normal vectors are used to generate a circle from a triangle with the advantages of only 3 vertices and 3 edges. Furthermore, we make new contributions in the subdivision surface scheme compared to the existing methods. It has excellent smoothness and also can be fast implemented.