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2014 Local Control of the Curves Using Rational Cubic Spline
Samsul Ariffin Abdul Karim, Kong Voon Pang
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/872637

Abstract

This paper discussed the local control of interpolating function by using rational cubic spline (cubic/quadratic) with three parameters originally proposed by the authors. The rational spline has C1 continuity. The bounded properties of the rational cubic interpolants and shape controls of the rational interpolants are discussed in detail. The value control, inflection point control, and convexity control at a point by using the proposed rational cubic spline are constructed. Several numerical results are presented to show the capability of the method. Numerical comparisons with the existing scheme are also further elaborated. From the results, it was indicated that the scheme works well and it is comparable with the established existing scheme.

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Samsul Ariffin Abdul Karim. Kong Voon Pang. "Local Control of the Curves Using Rational Cubic Spline." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/872637

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010782
MathSciNet: MR3178976
Digital Object Identifier: 10.1155/2014/872637

Rights: Copyright © 2014 Hindawi

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