摘要
为解决由多线元组成复杂曲线和单一线元组成简单曲线形成的一般曲线或回头曲线的通用计算问题,本文探讨通过线元在线元坐标系中的坐标,计算相关辅助点在圆心坐标系中的坐标,获取平面曲线要素的通用计算方法。该方法适用于曲线转角及线元偏角均小于360°的线元组合的曲线要素计算,解决了现有教材、相关丛书和参考文献无法解决的平面曲线要素通用计算问题。
To solve the problem of general calculation of curve elements for general curves or switch back curves formed by complex curves composed of multiple line elements and simple curves composed of single line elements,this paper discusses the general calculation method of plane curve elements obtained by calculating the coordinates of relevant auxiliary points in the central coordinate system through the coordinates of line elements in line element coordinate system.This method is applicable to the calculation of curve elements of any combination of line elements with curve corner and any line element deflection angle less than 360°,and solves the general calculation problem of plane curve elements that cannot be solved in existing teaching materials,related books and references.
作者
杨维裕
周适
粟剑
王靠省
YANG Weiyu;ZHOU Shi;SU Jian;WANG Kaosheng(Measurement Center,China Railway No.2 Engineering,Chengdu,Sichuan 610031,China;Second Company,China Railway No.2 Engineering,Chengdu,Sichuan 610051,China)
出处
《测绘标准化》
2023年第4期53-59,共7页
Standardization of Surveying and Mapping
关键词
广义缓和曲线
复合曲线
线元要素
线元坐标系
圆心坐标系
辅助点坐标
generalized transition curve
complex curve
line element
line element coordinate system
central coordinate system
auxiliary point coordinates
