Constrained interpolation using rational cubic spline with three parameters

Samsul Ariffin Abdul Karim; Mohammad Khatim Hasan; Ishak Hashim

doi:10.17576/jsm-2019-4803-23

Constrained interpolation using rational cubic spline with three parameters

Samsul Ariffin Abdul Karim
, Mohammad Khatim Hasan
, Ishak Hashim

Universiti Teknologi Petronas
Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	685-695
Number of pages	11
Journal	Sains Malaysiana
Volume	48
Issue number	3
DOIs	https://doi.org/10.17576/jsm-2019-4803-23
State	Published - Mar 2019
Externally published	Yes

Keywords

Constrained interpolation
Continuity
Rational cubic spline

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10.17576/jsm-2019-4803-23

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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.",

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AU - Karim, Samsul Ariffin Abdul

AU - Hasan, Mohammad Khatim

AU - Hashim, Ishak

PY - 2019/3

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N2 - 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.

AB - 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.

KW - Constrained interpolation

KW - Continuity

KW - Rational cubic spline

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JF - Sains Malaysiana

IS - 3

ER -

Constrained interpolation using rational cubic spline with three parameters

Abstract

Keywords

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