A non-uniform 3-point ternary interpolatory subdivision scheme with variable subdivision weights is introduced. Its support is computed. The C 0 and C 1 convergence analysis are presented. To elevate its controllability, a modified edition is proposed. For every initial control point on the initial control polygon a shape weight is introduced. These weights… (More)
Hassan et al. proposed a 4-point ternary interpola-tory scheme with smaller sizes of the templates for the local averaging rules and with higher order smoothness property compared to most of the existing binary ones. It can be C 2-continuous when the subdivision parameter is chosen in a certain range. In this paper, we further investigate its differentiable… (More)
Subdivision scheme is a discrete modeling method that breaches old model of surface modeling, namely, from discrete data to continuous data and last to discrete data. The method is simple, small computing and fast in modeling. This paper presents a classification standard of subdivision scheme, discusses and compares several subdivision schemes in brief.