摘要
为了做到改扩建公路平面设计参数获取的规范性和科学性,由实测道路中线现有坐标建立适合的曲线模型,获取线形参数至关重要.研究讨论了拉格朗日插值法、最小二乘法、三次样条曲线法及纬地软件等几种曲线拟合方法应用特点.应用上述四种方法,以既有道路为例,基于其中线逐桩坐标,借助Matlab工具软件,分别对设计线形进行拟合,将计算得到的参数与已知设计结果进行对比,得出三次样条曲线拟合法较拉格朗日插值法、最小二乘法、路线设计软件等方法,具有表达公路平面曲线特征更适宜、拟合线形参数误差小、精度高等优势.结合某公路改扩建实际应用结果表明,运用三次样条函数拟合得到平面线形参数使得改扩建设计线形达到了预期目的,利用原路段的中线吻合较好,对于部分线形需改善的路段,获取了相应的参数,保证了整个线形的平顺、流畅.
In order to acquire standardization and scientificalness in obtaining plane design parameters for reconstruction and expansion of highways,it is very important to establish a suitable curve model from the existing coordinates of the center line of the measured road and obtain the alignment parameters..This paper discussed the practical characteristics of several curve fitting methods such as Lagrange interpolation method,least square method,three spline curve method and HintCAD.Using the above four methods and taking the existing road as an example,the design line is fitted with the help of Matlab based on coordinates of piles on the center line of alignment originated from existing roads.Comparing the calculated parameters with known design results,it proves that the cubic spline fitting method has the advantages of more suitable expression of highway plane curve characteristics,less error in fitting line parameters,high accuracy compared with Lagrange interpolation,least squares,HintCAD and other methods.Combined with the reconstruction and the expansion of a practical road,the results show that the alignment parameters fitted by cubic spline curve method enable the reconstruction and extension design line shape to achieve the desired purpose.For some sections where the alignment needs to be improved,the corresponding parameters are obtained to ensure the smoothness and smoothness of the entire alignment.
作者
张航
韦金君
张肖磊
ZHANG Hang ,WEI Jinjun, ZHANG Xiaolei(School of Transportation, Wuhan University of Technology, Wuhan 430063, China)
出处
《武汉理工大学学报（交通科学与工程版）》
2018年第4期594-598,603,共6页
Journal of Wuhan University of Technology（Transportation Science & Engineering）
基金
国家自然科学基金项目(51678460)
湖北省交通运输厅科技项目(2014-721-2-7)资助
