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Volume 19, Issue 2
Constrained Rational Cubic Spline and Its Application

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

J. Comp. Math., 19 (2001), pp. 143-150.

Published online: 2001-04

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  • 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.  

  • Keywords

Rational spline, Constrained design, Constrained interpolation, Convex interpolation, Shape control.

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-143, author = {Duan , QiZhang , Huan-LingLai , XiangXie , Nan and Cheng , Fu-Hua}, title = {Constrained Rational Cubic Spline and Its Application}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {2}, pages = {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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8966.html} }
TY - JOUR T1 - Constrained Rational Cubic Spline and Its Application AU - Duan , Qi AU - Zhang , Huan-Ling AU - Lai , Xiang AU - Xie , Nan AU - Cheng , Fu-Hua JO - Journal of Computational Mathematics VL - 2 SP - 143 EP - 150 PY - 2001 DA - 2001/04 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8966.html KW - Rational spline, Constrained design, Constrained interpolation, Convex interpolation, Shape control. AB -

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.  

Duan , QiZhang , Huan-LingLai , XiangXie , Nan and Cheng , Fu-Hua. (2001). Constrained Rational Cubic Spline and Its Application. Journal of Computational Mathematics. 19 (2). 143-150. doi:
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