茧丝线密度变化的拟合与预测

 茧丝线密度曲线变化形态多样,很难统一用一般多项式数学模型来进行精确拟合。为了提高拟合精度,在分析茧丝线密度曲线的一些特性之后,提出把茧丝线密度曲线预先分离成线性和非线性2部分,然后再进行分项拟合的方法。线性部分直接采用线性函数拟合,而非线性部分则采用行谐波分析和最小二乘法相结合的方法进行拟合。为了使拟合生成的茧丝线密度曲线更符合生产实际,提出茧丝线密度曲线的标准化方法和茧丝线密度曲线头尾两端茧丝线密度值的预测方法,即采用中心对称延拓方法进行平滑延拓。

Fitting and forecasting the silk size curve

It was somewhat difficult to use mathematical models of general polynomial to fit the silk size curve accurately,because the shape of the silk size curve was diverse.To improve precision in fitting the silk size curve,the paper proposed a new way to fit the silk size curve based on the analysis of the characteristics of the silk size curve.The silk size curve was first detached into two parts: the liner formation and the nonlinear formation,then the liner formation and the nonlinear formation were fitted respectively.The linear part was fitted directly using the linear function and the nonlinear was fitted by harmonic analysis and the least squares method.Good results were achieved.In order to make the silk size curve of fitting more practical in actual production,it advanced standardized methods of silk size curve and prediction method,that is,symmetric extension method,to estimate size values of both ends of the silk.