B样条系数矩阵的快速递推法

A Fast Recurrent Method for The Coefficient Mathix of B-Splines

本文给出了一种等距节点B样条系数矩阵的快速递推法。这种方法十分简便,计算量极小,递推迅速,且非常直观醒目,易于掌握和记忆。一般利用手算即可很快地推出任意高阶的系数矩阵。它进一步完善了B样条理论,且为高阶B样条的研究提供了方便。

This paper describes a fast recurrent method for calculating the coefficient matrix of equidistance node B-splines. Its advantages are simplicity, convenience, straightforward, small amount of calculation and fast recurrent. So it is easy to understand and remember. According to this method, the coefficient metrix of any high-order B-splines can generally be deduced quickly by means of hand-calculation. It not only perfects the theory of B-splines but facilitates the research of high-order B-splines.