Interpolating Subdivisions Based on Difference Interpolating Functions

Abstract

Subdivision algorithm defines a very powerful way of constructing smooth, continuous, seamless surface. This paper proposed to construct families of interpolating subdivision from approximating subdivision by combining an approximating scheme with a difference interpolating function. By combining Loop subdivision with two-point linear interpolation, the modified Butterfly scheme is generated. Additionally, a new interpolating subdivision scheme, Loop-Butterfly, was constructed by combining Loop subdivision with Butterfly interpolation. The results show that the proposed method keeps the fairing surface of approximating schemes.