A Five-Point Subdivision Scheme with Two Parameters and a Four-Point Shape-Preserving Scheme

Mathematical and Computational Applications

Tan, Jieqing¹ 

关键词: subdivision scheme;    parameter;   

DOI  :  10.3390/mca22010022

学科分类：计算数学

来源: mdpi

【 摘 要 】

In order to improve the flexibility of curves, a new five-point binary approximating subdivision scheme with two parameters is presented. The generating polynomial method is used to investigate the uniform convergence and C k-continuity of this scheme. In a special case, the five-point scheme changes into a four-point scheme, which can generate C 3 limit curves. The shape-preserving properties of the four-point scheme are analyzed, and a few examples are given to illustrate the efficiency and the shape-preserving effect of this special case.

【 授权许可】

CC BY