| 样条插值算法在汽车门曲线设计中的应用 |
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| 引用本文： | 王福鑫,刘石强,廖芳芳.样条插值算法在汽车门曲线设计中的应用[J].湘南学院学报,2014(2):111-114. |
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| 作者姓名： | 王福鑫 刘石强 廖芳芳 |
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| 作者单位： | 湘南学院数学系,湖南郴州423000 |
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| 基金项目： | 湖南省大学生研究性学习与创新性实验项目（2012） |
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| 摘 要： | 在汽车门曲线设计中,运用三次样条插值法构造了严格对角占优的三弯矩方程组,利用追赶法求解方程组,并用Matlab进行了数值实验得到了数值解,汇出了曲线图,进而,我们将三次样条插值算法与分段线性插值、分段抛物插值、邻近点插值的结果进行比较,实验结果表明,三次样条插值算法能获得高精度的插值结果.
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| 关 键 词： | 三次样条插值 三弯矩方程组 追赶法 数值解 |
The Application of Spline Interpolation Algorithm in the Design of Car Door Curves |
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| Wang Fuxin,Liu Shiqiang,Liao Fangfang.The Application of Spline Interpolation Algorithm in the Design of Car Door Curves[J].Journal of Xiangnan University,2014(2):111-114. |
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| Authors: | Wang Fuxin Liu Shiqiang Liao Fangfang |
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| Institution: | (Department of Mathematics, Xiangnan University, Chenzhou 423000, China) |
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| Abstract: | In the design of car door curves ,we used the method of cubic spline interpolation and constructed a ma-trix tridiagonal equations which is strictly diagonally dominant .And then we used the method of speedup substitu-tion to solve the equations .Meanwhile ,by means of mathematical analysis and simulation based on Matlab tool-box ,we got the numerical solutions and obtain the curve graph .Experiments showed that the spline interpolation can get high precision results . |
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| Keywords: | method of cubic spline interpolation tridiagonal equations method of speedup numerical solutions |
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