基于多因素的道路线形拟合方法综合评价

Study on Comprehensive Evaluation of Road Alignment Fitting Method Based on Multi-factor

为研究不同道路线形拟合方法的优缺点,对道路改扩建工程线形拟合方法选择提供一定的指导,故选取了基于GPS数据的最小二乘法、基于MATLAB的半自动线形拟合法、三次样条曲线法3种拟合方法,对这3种方法进行多因素评价。提出了基于层次分析法的多因素评价体系,对3种方法的精度、稳定性、难易性进行了探究。结果表明:最小二乘法精度最高;样条曲线法最简便;稳定性方面基于MALTLAB的半自动拟合最强。最后利用层次分析法进行拟合方法评价,最小二乘法评分最高,基于MATLAB的半自动化拟合法是基于GPS数据的最小二乘法的61.05%,三次样条曲线法是最小二乘法的42.72%。

In order to study the advantages and disadvantages of different road alignment fitting methods and provide a guidance to select alignment fitting method for road reconstruction and extension engineering, the least square method based on GPS data, the semi automatic alignment fitting method based on MATLAB, and the cubic spline curve fitting method are selected and evaluated by mutil-factor. The multi-factor evaluation based on AHP is proposed to explore the reliabilities, the precisions and the difficulty degrees of the 3 methods. The result shows that （1） the least square method has the highest precision; （2） the spline curve method is the simplest; （3） the MATLAB based semi automatic fitting method has a strongest stability. Adopting AHP to evaluate these 3 fitting methods, the least square has a highest score, the score of the MATLAB based semi automatic fitting method is 61.05% of the score of least square, and the score of the cubic spline method is only the 42. 72% of that of least square method.