A new weighted rational cubic interpolation and its approximation

Qi Duan; Liqiu Wang; E. H. Twizell

doi:10.1016/j.amc.2004.09.041

A new weighted rational cubic interpolation and its approximation

Qi Duan, Liqiu Wang, E. H. Twizell

Research output: Journal article publication › Journal article › Academic research › peer-review

17 Citations (Scopus)

Abstract

A weighted rational cubic spline interpolation has been constructed using two kinds of rational cubic spline with quadratic denominator. The degree of smoothness of this spline is C² in the interpolating interval when the parameters satisfy a continuous system. The sufficient and necessary conditions that constrain the interpolant curves to be convex in the interpolating interval or subinterval are derived. Also, the error estimate formulas of this interpolation are obtained.

Original language	English
Pages (from-to)	990-1003
Number of pages	14
Journal	Applied Mathematics and Computation
Volume	168
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2004.09.041
Publication status	Published - 15 Sept 2005
Externally published	Yes

Keywords

Approximation
Computer aided geometric design
Constrained interpolation
Rational spline

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

More information

10.1016/j.amc.2004.09.041

Cite this

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author = "Qi Duan and Liqiu Wang and Twizell, {E. H.}",

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AU - Twizell, E. H.

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PY - 2005/9/15

Y1 - 2005/9/15

N2 - A weighted rational cubic spline interpolation has been constructed using two kinds of rational cubic spline with quadratic denominator. The degree of smoothness of this spline is C2 in the interpolating interval when the parameters satisfy a continuous system. The sufficient and necessary conditions that constrain the interpolant curves to be convex in the interpolating interval or subinterval are derived. Also, the error estimate formulas of this interpolation are obtained.

AB - A weighted rational cubic spline interpolation has been constructed using two kinds of rational cubic spline with quadratic denominator. The degree of smoothness of this spline is C2 in the interpolating interval when the parameters satisfy a continuous system. The sufficient and necessary conditions that constrain the interpolant curves to be convex in the interpolating interval or subinterval are derived. Also, the error estimate formulas of this interpolation are obtained.

KW - Approximation

KW - Computer aided geometric design

KW - Constrained interpolation

KW - Rational spline

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ER -

A new weighted rational cubic interpolation and its approximation

Abstract

Keywords

ASJC Scopus subject areas

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