| 分段函数的光滑方法及其在曲线拟合中的应用 |
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| 引用本文： | 张兴元. 分段函数的光滑方法及其在曲线拟合中的应用[J]. 西南民族学院学报(自然科学版), 2007, 33(3): 486-490 |
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| 作者姓名： | 张兴元 |
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| 作者单位： | 西南交通大学峨眉校区 四川峨眉614202 |
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| 摘 要： | 在分析复杂实验数据时,常采用分段曲线拟合方法.利用此方法在段内可以实现最佳逼近,但在段边界上却可能不满足连续性和可导性.为了克服这种现象,本文提出了一种分段函数的光滑算法,并给出了相应的误差分析.最后,给出了该方法在分段曲线拟合中的应用方法以及凸轮实验数据自动分段拟合的应用例子.
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| 关 键 词： | 分段函数 曲线拟合 函数光滑 |
| 文章编号： | 1003-2843（2007）03-0486-05 |
| 修稿时间： | 2007-02-05 |
A method for smoothing piecewise functions with application in curve fitting |
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| ZHANG Xing-yuan. A method for smoothing piecewise functions with application in curve fitting[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2007, 33(3): 486-490 |
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| Authors: | ZHANG Xing-yuan |
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| Affiliation: | Emei Campus, Southwest Jiaotong University, Emei 614202, P, R. C. |
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| Abstract: | When analyzing complicated measured data, piecewise curve-fitting is often chosen. The best approximation can be achieved in each piece, but the fitting result is not continuous and differentiability at the boundary point between neighbor pieces. For conquering this limitation, a new method of smoothing piecewise functions is provided, and some error bounds are also given in this paper. At last, the method for using it in piecewise curve fitting is given and an application example is given in analyzing the measure data of cam. |
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| Keywords: | piecewise function curve-fitting smoothing of functions |
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