应用样条函数整编水文测验资料

APPLICATION OF SPLINE FUNCTION IN DATA PROCESSING OF NEARSHORE HYDROMETRY

本文在水文测验资料整编中,以三次样条插值函数拟合流速,含沙量及水位等的过程线,比利用拉格朗日分段二次插值方法具有更大的优越性,在微机上对100多条上述过程线进行了样条插值、绘线处理,效果良好。

The cubic spline interpolation function is used in the coastal hydrometry data processing: to interpolate and plot the hydrographs. The fitting process is similar in the mechanical background to those of connecting the discrete points by the spline and avoids the defect of the second-degree Lagrange's interpolation in which the second derivative of the interpolation function is not continuous at many knots and, the figure of the function is unsmooth at these points, being unconform to the actual conditions. With the advanced treatment, more than 100 of the approximation curves have been calculated and plotted in the computer, from which, rather satisfying effects have proved the method to be more suitable to hydrometric data processing.