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Open AccessArticle

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

Department of Mathematics, Lock Haven University, Lock Haven, PA 17745, USA
Math. Comput. Appl. 2018, 23(2), 18; https://doi.org/10.3390/mca23020018
Received: 18 February 2018 / Revised: 13 March 2018 / Accepted: 21 March 2018 / Published: 23 March 2018
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. View Full-Text
Keywords: interpolating subdivision scheme; Gibbs phenomenon; convergence; smoothness; nonlinear subdivision scheme interpolating subdivision scheme; Gibbs phenomenon; convergence; smoothness; nonlinear subdivision scheme
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Aslam, M. A Family of 5-Point Nonlinear Ternary Interpolating Subdivision Schemes with C2 Smoothness. Math. Comput. Appl. 2018, 23, 18.

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