曲线积分模型在道路坐标计算中的应用

Application of Curvilinear Integral model in Coordinate Calculation of Center Line

道路中线线型组合形式众多,但其都是由直线、圆曲线、缓和曲线这三种线元组成。目前,通用的线路坐标计算公式都是近似推导公式,计算公式繁杂,参数多,难以满足其他一些特殊线型坐标计算的要求,如卵形曲线,复合型曲线等,给野外测量技术人员带来了极大的麻烦。因此,为了方便、快捷准确的进行坐标计算,本文通过曲线积分模型推导出一种通用的计算公式,解决不同线元组合的线路坐标计算方法。该方法计算公式简单,计算精度高,便于计算机编程计算,是一种适用、逻辑性强的计算方法.在公路、铁路坐标计算中发挥了重要作用,在工程施工单位和勘测单位中有着广泛的应用价值。

There are many combination forms of line type in center line, but they are all composited by straight lines, cir- cular curves and transition curves. Right now, general formulate of coordinate calculation in center line is the approximate derivate formulate, which gets the surveyors into lots of trouble in the field, it is very complicate and lots of parameters, and it is difficult to satisfy the requirement of coordinate calculation in particular line types, for example Oval Curve, Composite Curve and so on. This paper solves the coordinate calculation method of combinations with different linear ele- ments by expounding and deriving principle about curvilinear integral to get the general mathematical model for coordinate calculation equipment and handiness. This methodology is easy to calculate, high precision and convenient for program- ming of the computer, it is a high utility and logical methodology . This methodology plays an important role in coordinate calculation in the field of road and railway. There are a lot of advantages and the widespread application values.