期刊论文详细信息
Mathematical and Computational Applications | |
A Family of 5-Point Nonlinear Ternary Interpolating Subdivision Schemes with C2 Smoothness | |
Muhammad Aslam1  | |
[1] Department of Mathematics, Lock Haven University, Lock Haven, PA 17745, USA; | |
关键词: interpolating subdivision scheme; Gibbs phenomenon; convergence; smoothness; nonlinear subdivision scheme; | |
DOI : 10.3390/mca23020018 | |
来源: DOAJ |
【 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】
Unknown