A Generalized Four Point Interpolatory Subdivision Scheme for Curve Design
ßIn this paper we propose a new kind of nonlinear and geometry driven subdivision scheme for curve interpolation. We introduce serval parameters in the new scheme.When the parameter ß is taken as 0, the new scheme presented in this paper regresses to the initial four point subdivision scheme, and when ß→∞ , the new scheme is convexity preserving. With proper choices of the subdßivision parameters,it can overcome the shortcoming of the initial four point subdivision scheme proposed.
X. F. Zhang, "A Generalized Four Point Interpolatory Subdivision Scheme for Curve Design", Advanced Materials Research, Vol. 586, pp. 378-383, 2012