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依据逆向工程中曲线重构理论的分析,三次样条曲线拟合铁路既有曲线平面线形时的拟合误差主要来自数学模型产生的拟合误差和既有曲线变形产生的拟合误差。既有曲线参数对拟合误差影响的分析结果表明:数学模型产生的既有曲线曲率、一阶导数和点位拟合误差随既有曲线半径的增大而减小,三者的最大值随着既有曲线缓和曲线长度的增大有先降后增的趋势,既有曲线的总转角对三者的影响较小,可忽略不计。既有曲线变形产生的既有曲线点位拟合误差近似等于既有曲线的变形量。在此基础上,提出1种能够得到既有曲线上任意一点拨距量的整正方法,并利用VC++6.0软件编制相关计算程序,且用实例验证了此方法的实用性。
According to the analysis of the theory of curve reconstruction in reverse engineering, the fit error of the cubic spline curve when fitting the existing curve plane line of the railway mainly comes from the fitting error produced by the mathematical model and the fitting error caused by the deformation of the existing curve. The analysis of the influence of the existing curve parameters on the fitting error shows that the curve curvature, the first derivative and the fitting error of the point produced by the mathematical model decrease with the increase of the existing curve radius. The maximum value of the three With the curve of the existing curve to ease the increase in the length of the curve first and then increase the trend of the existing curve of the total angle of the three smaller, negligible. The fitting error of the existing curve point produced by the existing curve deformation is approximately equal to the deformation amount of the existing curve. On the basis of this, a new rectification method is proposed, which can obtain the arbitrary distance between existing curves and the VC ++ 6.0 software is used to compile the relevant calculation program. The practicality of this method is verified by an example.