一元四次有理插值样条曲线的应用

摘要

一元四次有理插值样条对于非封闭曲线进行了很好地数学描述。本文提出了一元四次有理插值样条的方法，探究了这种插值函数的单调性，连续性，误差估计证实其保形性，最后用实际的数值实例来说明该方法的有效性。A four quadratic rational spline interpolation for non closed curves was well described. This paper presents an approach of four quadratic rational interpolation spline and explores the interpolation function monotonicity and continuity. Error estimates confirm the conformality and numerical practical examples illustrate the effectiveness of the method.