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旧路按照测量数据拟合其平面线形参数,关键在于拟合模型的选取及参数的解析精度,参数的正确求解与拟合模型和采样点步长紧密相关。提出基于三次样条函数拟合公路平面线形的基本原理,分析拟合误差的来源,讨论了不同采样点步长对拟合成果的影响。结合某高速公路实施改扩建为例,计算出不同采样点步长对拟合成果的影响误差,得出采用三次样条函数拟合公路平面线形时采样点步长取值的合适范围,宜在直线部分采样点步长取50 m、曲线部分取20 m较合适。
The key point of the old road fitting the plane linear parameters according to the measured data is the selection of the fitting model and the resolution accuracy of the parameters. The correct solution of the parameters is closely related to the fitting model and the sampling point step. The basic principle of fitting the plane shape of the highway based on the cubic spline function is proposed. The sources of the fitting error are analyzed. The influence of different sampling points on the fitting result is discussed. Taking the expansion and expansion of a highway as an example, the influence error of different sample points’ step size on the fitting result is calculated. The suitable range of sampling point step value when using the cubic spline function to fit the plane shape of the highway is obtained. Straight line part of the sampling point to take 50 m, 20 m curve part is more appropriate.