| 样条逼近的新方法 |
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| 引用本文： | 林福泳.样条逼近的新方法[J].机械科学与技术(西安),2003,22(Z2):123-125. |
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| 作者姓名： | 林福泳 |
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| 作者单位： | 林福泳（华侨大学机电学院,泉州,362011） |
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| 摘 要： | 样条函数在工程中的应用非常广泛,特别是曲面造型广泛地应用参数样条。目前过顶点的样条函数逼近是通过利用顶点信息求样条曲线的控制顶点,然后应用控制顶点构造样条曲线,如此需要计算一个阶数较大的矩阵,虽然有追赶法可以用于求解,但是对于多节点的计算量仍然相当的大。本文构造正交样条函数,利用正交样条函数计算,直接构造样条曲线。本文的方法具有计算量小,并能实现并行运算等特点,有望大大降低构造样条曲面的计算量。
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| 关 键 词： | 样条函数 正交样条函数 最小二乘法 |
| 文章编号： | 1003-8728(2003)ZK-0123-03 |
| 修稿时间： | 2003年6月4日 |
A New Method of Spline Approach |
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| LIN Fu-yong.A New Method of Spline Approach[J].Mechanical Science and Technology,2003,22(Z2):123-125. |
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| Authors: | LIN Fu-yong |
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| Abstract: | Spline function is widely applied in many engineering fields, especially in the face building. The traditional method of building a spline curve is to calculate the controlling points of spline curve by the given points. When the number of given points is very great the calculation of controlling points will be very great. In this paper, orthogonal spline functions are constructed, and the spline which go through the given points is obtained by using these spline functions. This method will greatly reduce the computation of building spline curves and easily carry out the parallel computation. |
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| Keywords: | spline Least square method Orthogonal spline |
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