Region control and approximation of a weighted rational interpolating curves

Qi Duan; Yunfeng Zhang; Liqiu Wang; E. H. Twizell

doi:10.1002/cnm.797

Region control and approximation of a weighted rational interpolating curves

Qi Duan, Yunfeng Zhang, Liqiu Wang, E. H. Twizell

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

6 Citations (Scopus)

Abstract

A weighted rational cubic spline interpolation has been constructed using two kinds of rational cubic spline with quadratic denominator. The sufficient conditions that constrain the interpolant curves to be in the given region are derived, also the error estimate formulas of this interpolation are obtained.

Original language	English
Pages (from-to)	41-53
Number of pages	13
Journal	Communications in Numerical Methods in Engineering
Volume	22
Issue number	1
DOIs	https://doi.org/10.1002/cnm.797
Publication status	Published - Jan 2006
Externally published	Yes

Keywords

Approximation
Computer-aided geometric design
Constrained interpolation
Rational spline

ASJC Scopus subject areas

Software
Modelling and Simulation
General Engineering
Computational Theory and Mathematics
Applied Mathematics

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10.1002/cnm.797

Cite this

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title = "Region control and approximation of a weighted rational interpolating curves",

abstract = "A weighted rational cubic spline interpolation has been constructed using two kinds of rational cubic spline with quadratic denominator. The sufficient conditions that constrain the interpolant curves to be in the given region are derived, also the error estimate formulas of this interpolation are obtained.",

keywords = "Approximation, Computer-aided geometric design, Constrained interpolation, Rational spline",

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

year = "2006",

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doi = "10.1002/cnm.797",

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AU - Zhang, Yunfeng

AU - Wang, Liqiu

AU - Twizell, E. H.

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KW - Approximation

KW - Computer-aided geometric design

KW - Constrained interpolation

KW - Rational spline

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U2 - 10.1002/cnm.797

DO - 10.1002/cnm.797

M3 - Journal article

AN - SCOPUS:29744434197

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JF - Communications in Numerical Methods in Engineering

IS - 1

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Region control and approximation of a weighted rational interpolating curves

Abstract

Keywords

ASJC Scopus subject areas

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