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2015 Shape Preserving Data Interpolation Using Rational Cubic Ball Functions
Ayser Nasir Hassan Tahat, Abd Rahni Mt Piah, Zainor Ridzuan Yahya
J. Appl. Math. 2015: 1-9 (2015). DOI: 10.1155/2015/908924

Abstract

A smooth curve interpolation scheme for positive, monotone, and convex data is developed. This scheme uses rational cubic Ball representation with four shape parameters in its description. Conditions of two shape parameters are derived in such a way that they preserve the shape of the data, whereas the other two parameters remain free to enable the user to modify the shape of the curve. The degree of smoothness is C 1 . The outputs from a number of numerical experiments are presented.

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Ayser Nasir Hassan Tahat. Abd Rahni Mt Piah. Zainor Ridzuan Yahya. "Shape Preserving Data Interpolation Using Rational Cubic Ball Functions." J. Appl. Math. 2015 1 - 9, 2015. https://doi.org/10.1155/2015/908924

Information

Published: 2015
First available in Project Euclid: 17 August 2015

zbMATH: 07132088
MathSciNet: MR3366494
Digital Object Identifier: 10.1155/2015/908924

Rights: Copyright © 2015 Hindawi

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