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B样条系数矩阵的快速递推法
引用本文:马丽华. B样条系数矩阵的快速递推法[J]. 五邑大学学报(社会科学版), 1988, 0(2)
作者姓名:马丽华
摘    要: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。

关 键 词:B样条  递推  位矢  边矢  特征多边形

A Fast Recurrent Method for The Coefficient Mathix of B-Splines
Ma Lihua. A Fast Recurrent Method for The Coefficient Mathix of B-Splines[J]. Journal of Wuyi University(Social Sciences Edition), 1988, 0(2)
Authors:Ma Lihua
Abstract:This paper describes a fast recurrent method for calculatingthe coefficient matrix of equidistance node B-splines. Its advantages aresimplicity, convenience, straightforward, small amount of calculation andfast recurrent. So it is easy to understand and remember. According tothis method, the coefficient metrix of any high-order B-splines cangenerally be deduced quickly by means of hand-calculation. It not onlyperfects the theory of B-splines but facilitates the research of high-orderB-splines.
Keywords:B-splines   Recurrent   Locate-vector   Siae-Vecter   Eigenpolygon.
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