Constrained interpolation using rational cubic spline with three parameters

Samsul Ariffin Abdul Karim, and Mohammad Khatim Hasan, and Ishak Hashim, (2019) Constrained interpolation using rational cubic spline with three parameters. Sains Malaysiana, 48 (3). pp. 685-695. ISSN 0126-6039

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Official URL: http://www.ukm.my/jsm/malay_journals/jilid48bil3_2...

Abstract

The C1 rational cubic spline function (cubic/quadratic) with three parameters is used to construct a constrained interpolating curve that lies below or above an arbitrary straight line or between two straight lines. The data dependent sufficient conditions for the rational cubic interpolant bounded by two straight lines are derived on one parameter, while the other two are free parameters that will be useful for shape modification. Some numerical results will be presented by using Mathematica software. Comparison with some existing schemes shows that the proposed scheme outperforms the existing schemes.

Item Type:Article
Keywords:Constrained interpolation; Continuity; Rational cubic spline
Journal:Sains Malaysiana
ID Code:13329
Deposited By: ms aida -
Deposited On:29 Aug 2019 03:25
Last Modified:29 Aug 2019 21:45

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