既有铁路曲线线性的自动识别方法研究

Method of Automatic Identification of Curve Type in Existing Railway

在测量既有铁路曲线时,传统的测量方式是偏角法,计算曲率和拨距的方法是渐伸线法。这种方法的测量效率低,计算结果误差大,因此正逐渐被坐标法代替。针对坐标法,研究了联合采用3点定圆、3点定缓和加权平均来加速计算测点曲率的方法。更重要的是,为了在测点曲率基础上,在不需人工编辑初始条件的情况下,自动识别各测点所属的曲线线性,估计铁路曲线参数,计算测点拨距。生产应用表明,这种方法计算过程简单,计算结果可靠。

The traditional method to measure the curves in exiting railway is the method of deflection angle, while the method to calculate the curvatures and the deflection distance is the involute method. But this measurement is inefficient and brings with itself bigger errors, which explains why it has been gradually superseded by measuring coordinates. For this new measurement, a calculating approach was presented in this paper, which was the combination of the following three ways respectively： three-point circle, three-point easement curve, and weighted average. What＇s more, in order to identify the curve type of each measuring-point, the parameters of one railway curve was estimated, and the deflection distance of the measuring-points was identified automatically without manual initialization. The movement theorem of regression line was proposed and then proved. Its application in practice indicates that the algorithm is simple in calculation and reliable in results.