Constrained interpolation using rational cubic spline with three parameters

Samsul Ariffin Abdul Karim, Mohammad Khatim Hasan, Ishak Hashim

Research output: Contribution to journalArticle

Abstract

The C 1 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.

Original languageEnglish
Pages (from-to)685-695
Number of pages11
JournalSains Malaysiana
Volume48
Issue number3
DOIs
Publication statusPublished - 1 Mar 2019

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Splines
Interpolation

Keywords

  • Constrained interpolation
  • Continuity
  • Rational cubic spline

ASJC Scopus subject areas

  • General

Cite this

Constrained interpolation using rational cubic spline with three parameters. / Karim, Samsul Ariffin Abdul; Hasan, Mohammad Khatim; Hashim, Ishak.

In: Sains Malaysiana, Vol. 48, No. 3, 01.03.2019, p. 685-695.

Research output: Contribution to journalArticle

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