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线路坐标计算的通用模型
引用本文:郭子珍,蒋理兴,石晶.线路坐标计算的通用模型[J].测绘学院学报,2006(4).
作者姓名:郭子珍  蒋理兴  石晶
作者单位:信息工程大学测绘学院 河南郑州450052(郭子珍,蒋理兴),河南省基础地理信息中心 河南郑州450003(石晶)
摘    要:介绍了一种适合电算的线路坐标计算通用模型。首先,引入了曲线元的概念,使线路的平面线形三要素(直线、圆曲线、缓和曲线)得到了统一。然后,以曲线元作为组成线路的最小单元,推导了线路坐标计算的通用数学模型。该模型形式简单,易于编程实现。不但能解算S型、卵型、复合型、C型等复杂组合线形的任意指定点的坐标,而且能将线路中桩、边桩以及与线路非正交交叉的特殊点位(如桥墩、电线杆等)的坐标解算统一了起来。

关 键 词:线路坐标  曲线元  圆曲线  缓和曲线  数学模型  独立坐标系

The Universal Model of Route Coordinates Calculation
GUO Zi-zhen,JIANG Li-xing,SHI Jing.The Universal Model of Route Coordinates Calculation[J].Journal of Institute of Surveying and Mapping,2006(4).
Authors:GUO Zi-zhen  JIANG Li-xing  SHI Jing
Institution:GUO Zi-zhen~1,JIANG Li-xing~1,SHI Jing~2
Abstract:Route coordinates calculation was the precondition of road stake-out.In this paper,a universal mathematical model to calculate route coordinates was introduced.The paper firstly unified the horizontal alignment with the curve element,then proposed the general model.The expression of the model was simple and fit to program.With this model,not only the coordinates of any fixed point of corresponding curves were worked out,but also the coordinates calculation of the center-stake,side-stake and special points being not perpendicular with center line were unified.
Keywords:route coordinates  curve element  circular curve  spiral curve  mathematical model  independent coordinate system
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