A Family of 5-Point Nonlinear Ternary Interpolating Subdivision Schemes with C2 Smoothness

Mathematical and Computational Applications

Aslam, Muhammad¹ 

关键词: interpolating subdivision scheme;    Gibbs phenomenon;    convergence;    smoothness;    nonlinear subdivision scheme;   

DOI  :  10.3390/mca23020018

学科分类：计算数学

来源: mdpi

【 摘 要 】

The occurrence of the Gibbs phenomenon near irregular initial data points is a widely known fact in curve generation by interpolating subdivision schemes. In this article, we propose a family of 5-point nonlinear ternary interpolating subdivision schemes. We provide the convergence analysis and prove that this family of subdivision schemes is C 2 continuous. Numerical results are presented to show that nonlinear schemes reduce the Gibbs phenomenon significantly while keeping the same order of smoothness.

【 授权许可】

CC BY