Shape Preserving Piecewise Rational Interpolation
Shape Preserving Piecewise Rational Interpolation
复制标题
DOI：
10.1137/0906065
复制
发表时间：
1985-10
期刊：
影响因子：
--
通讯作者：
R. Delbourgo;J. Gregory
中科院分区：
文献类型：
--
作者：
R. Delbourgo;J. Gregory
本文给出了一个C^1 $分段有理三次函数的显式表示，它可以用来解决保形插值问题。结果表明，插值方法可以适用于凸和/或单调的数据集，并给出了插值的误差分析。该格式包括文[1]和[5]中所考虑的单调有理二次插值作为特例。然而，凸性的要求需要推广到这里所采用的有理三次形式。
An explicit representation of a $C^1 $ piecewise rational cubic function is developed which can be used to solve the problem of shape preserving interpolation. It is shown that the interpolation method can be applied to convex and/or monotonic sets of data and an error analysis of the interpolant is given. The scheme includes, as a special case, the monotonic rational quadratic interpolant considered by the authors in [1] and [5]. However, the requirement of convexity necessitates the generalization to the rational cubic form employed here.