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Designing General p-Ary n-Point Smooth Subdivision Schemes

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Abstract:

In this paper, in order to produce smooth curve, we design a class of n-point p-ary smooth interpolatory subdivision schemes that can reproduce polynomials of degree n-1 with approximation order n. Many classical interpolatory subdivision schemes are special cases of this kind of subdivision. We illustrate the approach with a new 5-point quaternary interpolatory subdivision scheme with two parameters, which reproduces polynomial of degree 4 with approximation order of 5 and can generate new interpolatory curves.

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Mechanical Science and Engineering IV View Preview

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Periodical:

Applied Mechanics and Materials (Volume 472)

Pages:

510-515

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.472.510

Citation:

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Online since:

January 2014

Authors:

Hong Chan Zheng, Qian Song

Keywords:

Continuity Analysis, Integer Point Subdivision Scheme, Lagrange Polynomial, p-Ary Subdivision, Variation of Constants

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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References

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