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.
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.
出处
《西南民族大学学报（自然科学版）》
CAS
2007年第3期486-490,共5页
Journal of Southwest Minzu University(Natural Science Edition)
关键词
分段函数
曲线拟合
函数光滑
piecewise function
curve-fitting
smoothing of functions
