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

Figure 1

Red bullets and red lines represent initial points and initial polygon, respectively. Blue bullets and blue curve are the points and limiting curve generated by the 4-point scheme by Deslauriers and Dubuc [8], respectively, after 4 subdivision levels. Whereas black bullets and black curve are the points and limiting curve generated by the 4-point relaxed B-spline scheme, respectively, after 4 subdivision levels.