欢迎访问《图学学报》 分享到:

图学学报

• 几何与应用 • 上一篇    下一篇

GIS环境下缓和曲线绘制方法研究

  

  • 出版日期:2010-02-26 发布日期:2015-08-11

Study on Drawing Method of Transition Curve in GIS

  • Online:2010-02-26 Published:2015-08-11

摘要: 缓和曲线是构成交通线路中线平面线形的基本要素之一。从分析缓和曲线几何特征和数学模型出发,根据计算机图形学中曲线离散化表达的基本原理,用折线拟合的方法实现了GIS环境下缓和曲线对象的准确绘制。基于数值积分的复化梯形公式,推导出了缓和曲线拟合折线分段数计算的严密数学公式。进一步给出了缓和曲线上任意点坐标与里程间的转换方法,使研究成果更具实用性。该方法在SuperMap GIS平台上实现,其绘图精度和效率能满足应用需求。

关键词: 计算机应用, 缓和曲线绘制, 折线拟合, 地理信息系统

Abstract: Transition curve is a constituent element of highway or railway horizontal alignment. A drawing method of transition curve in GIS is presented. Based on the fundamental of curve drawing method in Computer Graphics and geometrical feature of clothoid, a polylines approach is used to plot transition curve. A precise formula for determining segments number of the polylines is ratiocinated by Compound Trapezia numerical integral method. Further more, conversion method of arc length and point coordinate in transition curve is delivered. This drawing method of transition curve has been programmed in Supermap GIS and is found that the precision and efficiency can fill the requirements of application.

Key words: computer application, drawing transition curve, polylines approach, GIS