A NEW CLASS OF INTERPOLATORY HERMITE SUBDIVISION SCHEMES REPRODUCING POLYNOMIALS
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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.
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.
참고문헌 (16)
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