Variations in 2D and 3D Models by a New Family of Subdivision Schemes and Algorithms for its Analysis

Figure 6

Black bullets are the initial control points, dashed lines polygons are the initial polygons, while black solid curves show the limit curves generated by the proposed subdivision schemes after 6 subdivision levels in (a) by the 4-point scheme from outer to inner with , in (b) by the 6-point scheme from outer to inner with and in (c) by the 8-point scheme from outer to inner with .

(a)

(b)

(c)