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

Producción científica: Article › revisión exhaustiva

30 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	203-215
Número de páginas	13
Publicación	Journal of Applied Mathematics and Computing
Volumen	6
N.º	1
DOI	https://doi.org/10.1007/bf02941918
Estado	Published - ene 1999

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/bf02941918

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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

UR - https://www.scopus.com/pages/publications/0013408930

UR - https://www.scopus.com/pages/publications/0013408930#tab=citedBy

U2 - 10.1007/bf02941918

DO - 10.1007/bf02941918

M3 - Article

AN - SCOPUS:0013408930

SN - 1598-5865

VL - 6

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

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