Second-order geometric continuous processing of singular points

摘要

This paper presents a shape adjustable C-C subdivision algorithm by introducing adjusting parameter c(0 ≤ c ≤ 1). Based on this algorithm, this paper proposes a shape adjustable G~2 surface modeling method with explicit solutions of Bezier control points by taking 2-ring singular points as the control grid and using cyclic mapping. Compared with the existing, this new method has more advantages, which can not only obtain surfaces reaching G~2, but also solve the problem of adjustable surface design at the singular points.