视距曲线坐标计算法研究及应用

Research and Application of Calculation Method of Sight Distance Curve Coordinate

为简化视距曲线的绘制过程、提高视距曲线的绘制速度和准确性,采用归纳演绎法和理论分析法对现有道路视距计算和检验方法进行分析论证,并根据视距曲线动态形成过程建立视距检验模型,借助二维直角坐标函数关系,推导出一种新的视距曲线计算方法,可用于直接绘制视距曲线,且在实际案例中验证了其准确性和可行性。研究结果表明:1)视距曲线是由相邻视距线的交点连接构成,视距线选取越密则交点越多,连接形成的视距线无限趋近于标准视距包络曲线;2)视距曲线坐标计算法能够直接求解视距曲线上的坐标点,适当选取若干视线点用于计算即可较准确地得到视距曲线,计算结果误差小,且具有安全性,能够用于对道路视距进行安全性检验和评价工作。

In order to simplify the drawing process of the line of sight curve and improve the drawing speed and accuracy of the line of sight curve,the inductive deductive method and theoretical analysis method are used to analyze and demonstrate sight calculation and test method of the existing line,and sight test model is established based on the dynamic formation process of sight curve.Based on the two-dimensional rectangular coordinate function,a new line-of-sight curve calculation method is derived,which can be used to directly draw the line-of-sight curve,and the accuracy and feasibility are verified by actual cases.The research results show that:1)the line-of-sight curve is composed of the intersections of adjacent line-of-sight lines.The more dense the line of sight line is,the more intersection points are,and the line-of-sight line formed by the connection is infinitely close to the standard line-of-sight envelope curve;2)the coordinate calculation method of sight curve can directly solve the coordinate points on the line of sight curve,and appropriate selection of several line of sight points for calculation can obtain the line of sight curve more accurately,and the error of the calculation result is small and safe,and can be used for safety inspection and evaluate work of the road line of sight.