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.