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http://dx.doi.org/10.7858/eamj.2022.024

A NEW CLASS OF INTERPOLATORY HERMITE SUBDIVISION SCHEMES REPRODUCING POLYNOMIALS  

Jeong, Byeongseon (Major in Mathematics, College of Natural Science, Keimyung University)
Publication Information
East Asian mathematical journal / v.38, no.3, 2022 , pp. 365-377 More about this Journal
Abstract
In this paper, we present a new class of interpolatory Hermite subdivision schemes of order 2 reproducing polynomials. Each member in this class, denoted by Hn for n ≥ 1, preserves polynomials of degree up to 4n + 1 admitting the approximation order of 4n + 2. Furthermore, it has free parameters which provide flexibility in designing curves/surfaces. H1, the simplest and the most attractive scheme in this class, achieves C4 smoothness with the parameters in certain ranges, and its performance is demonstrated with numerical examples.
Keywords
Interpolation; Hermite subdivision schemes; Smoothness; Polynomial reproduction;
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