| B样条插值曲线的快速算法 |
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| 引用本文： | 宋松,宋开.B样条插值曲线的快速算法[J].系统工程与电子技术,1995(12). |
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| 作者姓名： | 宋松 宋开 |
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| 作者单位： | 中国医学科学院心血管研究所，北方交通大学 |
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| 摘 要： | ６０年代以来，样条函数特别是Ｂ样条函数的理论有了很大发展，已经成为计算机辅助几何设计（ＣＡＧＤ）工作中的主要数学工具。在利用Ｂ样条函数构造插值曲线时，往往需要求解高阶线性方程组，给计算带来了一定困难。本文针对这一问题提出了一种快速算法，避免了对方程组的直接求解，从而简化了Ｂ样条插值曲线的计算。
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| 关 键 词： | 计算机辅助设计，样条函数，算法。 |
The Fast Computation of B Spline Interpolation |
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| Song Song.The Fast Computation of B Spline Interpolation[J].System Engineering and Electronics,1995(12). |
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| Authors: | Song Song |
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| Abstract: | The theory of spline function especially B spline function has been greatly developed sinee 1960s,It has become one of the main mathematical tools in the Computer Aided Geometry De- sign(CAGD).The solving of sets of high order linear algebraic equations is needed when B spline function is used in the interpolation of curve fitting.This makes some difficulties in the fast computa- tion of B spline interpolation,Afast computation method avoiding direct solving of linear equations isgiven in this paper. |
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| Keywords: | Spline function Fast computation |
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