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Research Article Open access CC BY 3.0

A New Class of Odd-Point Ternary Non-Stationary Schemes

Ghulam Mustafa, Mehwish Bari

Journal of Advances in Mathematics and Computer Science · pp. 133–152 · Published 16 Oct 2013

10.9734/BJMCS/2014/3736

Abstract

In this paper we generate a new family of odd point ternary non-stationary interpolating subdivision schemes by using Lagrange identities. It is to be observed that the limiting ellipse, generated by proposed schemes compared to the existing non-stationary interpolating schemes, has less deviation from being an exact ellipse. The proposed non-stationary schemes are asymptotically equivalent to converging stationary schemes [1,2,3,4,5,6]. The performance and comparison of the schemes are verified by examples.

Subdivision interpolation non-stationary smoothness tension control conics reproduction.

Cited by 9

A new class of odd-point ternary non-stationary approximating schemes

Ghulam Mustafa, Mehwish Bari · SeMA Journal · 2015

Construction and Application of Septic B-Spline Tensor Product Scheme

Mudassar Iqbal, Samsul Ariffin Abdul Karim, Muhammad Sarfraz · Studies in Systems, Decision and Control · 2020

A Five-Point Non-Stationary Interpolating Scheme

Fei Yi Yan, Hong Chan Zheng · Applied Mechanics and Materials · 2014

A family of 4-point odd-ary non-stationary subdivision schemes

Ghulam Mustafa, Pakeeza Ashraf · SeMA Journal · 2015

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