Constrained interpolation using rational cubic spline with linear denominators

Qi Duan; Gongxue Xu; Aikui Liu; Xuefu Wang; Fuhua Cheng

doi:10.1007/bf02941918

Constrained interpolation using rational cubic spline with linear denominators

Qi Duan, Gongxue Xu, Aikui Liu, Xuefu Wang, Fuhua Cheng

Computer Science

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

29 Scopus citations

Abstract

In this paper, a rational cubic interpolant spline with linear denominator has been constructed, and it is used to constrain interpolation curves to be bounded in the given region. Necessary and sufficient conditions for the interpolant to satisfy the constraint have been developed. The existence conditions are computationally efficient and easy to apply. Finally, the approximation properties have been studied.

Original language	English
Pages (from-to)	203-215
Number of pages	13
Journal	Journal of Applied Mathematics and Computing
Volume	6
Issue number	1
DOIs	https://doi.org/10.1007/bf02941918
State	Published - Jan 1999

Keywords

Approximation
Constrained design
Constrained interpolation
Rational spline
Shape control

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/bf02941918

Cite this

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title = "Constrained interpolation using rational cubic spline with linear denominators",

abstract = "In this paper, a rational cubic interpolant spline with linear denominator has been constructed, and it is used to constrain interpolation curves to be bounded in the given region. Necessary and sufficient conditions for the interpolant to satisfy the constraint have been developed. The existence conditions are computationally efficient and easy to apply. Finally, the approximation properties have been studied.",

keywords = "Approximation, Constrained design, Constrained interpolation, Rational spline, Shape control",

author = "Qi Duan and Gongxue Xu and Aikui Liu and Xuefu Wang and Fuhua Cheng",

year = "1999",

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doi = "10.1007/bf02941918",

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T1 - Constrained interpolation using rational cubic spline with linear denominators

AU - Duan, Qi

AU - Xu, Gongxue

AU - Liu, Aikui

AU - Wang, Xuefu

AU - Cheng, Fuhua

PY - 1999/1

Y1 - 1999/1

N2 - In this paper, a rational cubic interpolant spline with linear denominator has been constructed, and it is used to constrain interpolation curves to be bounded in the given region. Necessary and sufficient conditions for the interpolant to satisfy the constraint have been developed. The existence conditions are computationally efficient and easy to apply. Finally, the approximation properties have been studied.

AB - In this paper, a rational cubic interpolant spline with linear denominator has been constructed, and it is used to constrain interpolation curves to be bounded in the given region. Necessary and sufficient conditions for the interpolant to satisfy the constraint have been developed. The existence conditions are computationally efficient and easy to apply. Finally, the approximation properties have been studied.

KW - Approximation

KW - Constrained design

KW - Constrained interpolation

KW - Rational spline

KW - Shape control

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U2 - 10.1007/bf02941918

DO - 10.1007/bf02941918

M3 - Article

AN - SCOPUS:0013408930

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SP - 203

EP - 215

JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 1

ER -

Constrained interpolation using rational cubic spline with linear denominators

Abstract

Keywords

ASJC Scopus subject areas

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