细分节点的样条插值及其二步算法

Splines Interpolation over Refined Knuts and Its Two-step Algorithm

在讨论细分节点的样条插值基础上,提出了在B样条曲线插值中如何利用前一次插值的结果进行曲线修改的问题,最后得到一个二步算法。由于B样条有局部支撑性,所以方法简单易行,而且插值曲线有良好性质。

Based on the theory of B-spline interpolation over refined knots, the problem about how to use the result of B-spline interpolation to modify the curve is discussed. At the end, the Two-step algorithm is got. Because of the local support character of B-spline, this algorithm has good properties and is very easy to put into practice.