Constrained Rational Cubic Spline and Its Application

Constrained Rational Cubic Spline and Its Application

Year:    2001

Author:    Qi Duan, Huan-Ling Zhang, Xiang Lai, Nan Xie, Fu-Hua Cheng

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 143–150

Abstract

In this paper, a kind of rational cubic interpolation function with linear denominator is constructed. The constrained interpolation with constraint on shape of the interpolating curves and on the second-order derivative of the interpolating function is studied by using this interpolation, and as the consequent result, the convex interpolation conditions have been derived.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-8966

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 143–150

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Rational spline Constrained design Constrained interpolation Convex interpolation Shape control.

Author Details

Qi Duan

Huan-Ling Zhang

Xiang Lai

Nan Xie

Fu-Hua Cheng