Second-order geometric continuous processing of singular points

Abstract

Abstract. This paper presents a shape adjustable C-C subdivision algorithm by introducing adjusting parameter (01) cc ≤≤ . Based on this algorithm, this paper proposes a shape adjustable 2 G surface modeling method with explicit solutions of Bézier 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 2 G , but also solve the problem of adjustable surface design at the singular points.