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应用CatMull-Rom样条曲线描述道路透视图中心线特征的方法研究

DOI: 10.3969/j.issn.1674-0696.2015.04.08, PP. 45-51

Keywords: 道路工程,CatMullRom样条曲线,道路透视图中心线,视曲线长,视曲率,roadengineering,CatMull-Romspline,roadcenterlineinperspectiveview,thevisualcurvelength,thevisualcurvecurvature

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Abstract:

:?采用三次Bezier曲线、三次B样条曲线和CatMull-Rom样条曲线分别拟合道路透视图中心线,并进行对比研究,分析了各自描述道路透视图中心线时控制点确定和拟合产生残差的情况,结果显示,在描述道路透视图中心线特征方面,CatMull-Rom样条曲线更为高效和精准,可以适应绝大部分道路几何设计形成的透视图中心线特征描述的需要。将道路透视图划分为“近景”、“中景”和“远景”3个不同功能区域,提出视曲线长和视曲率概念和相应的计算方法,将视曲线长和视曲率作为描述透视图中心线特征的形状参数,并结合运行车速进行了相关性分析。研究表明形状参数和运行车速密切相关。

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