旧路平面线形拟合参数初始数据处理
发布时间：2019-03-19 21:44
【摘要】：在利用测量数据确定旧路平面线形拟合参数初始值的问题上,相关理论技术还不够完善。而旧路平面线形拟合参数初始值在旧路改造工程中,对于旧路平面线形调整、提高旧路平面线形拟合的准确性等都起着比较重要的作用。本文在长沙理工大学刘苏教授“旧路平面线形计算机辅助拟合技术研究”的基础上,结合G321线改扩建工程对旧路平面线形拟合参数初始值进行进一步研究。旧路平面线形拟合参数初始值包括直线拟合参数初始值和曲线拟合参数初始值。本文利用一元线性回归最小二乘拟合得到各直线方程,确定出直线拟合参数初始值。曲线拟合参数初始值确定包括圆曲线半径、圆心坐标和缓和曲线长度的确定。缓和曲线长度在圆曲线半径和圆心坐标确定的基础上,通过相应的函数关系唯一确定,相对简单。因此,确定平面线形拟合参数初始值的关键在于如何求取圆曲线拟合参数初始值(包括圆曲线半径和圆心坐标)。本文主要针对圆曲线拟合点数量大于3个的情况进行分析,提出了一种新的圆曲线拟合方法一多组合平均值法,以提高圆曲线拟合参数初始值的精度。在确定圆曲线拟合点的前提下,分别采用不同组合方法取平均值求取圆曲线拟合参数初始值,每种平均值组合都有对应的圆曲线拟合中误差,将中误差最小的组合对应的圆曲线拟合参数初始值作为最终的圆曲线拟合参数初始值。同时将多组合平均值法与其它方法作比较,验证它的适用性。利用VB语言编写程序实现了多组合平均值法在平面线形拟合中的应用。通过多个路段圆曲线拟合CAD图论证了圆曲线拟合中误差的大小取决于圆曲线拟合点的离散度大小,分析了离散度的影响因素,确定路面分中误差是引起路面分中点离散度的主要原因,通过采用相应办法,提高路面分中的准确性。本文结合321国道旧路改造项目进行实例分析研究,利用VB程序(其结合了一元线性回归最小二乘拟合原理和多组合平均值法)确定了全路段的平面线形拟合参数初始值,最后根据规范及对称缓和曲线的原则,对计算得到的旧路平面线形拟合参数初始值进行调整,得到调整后的旧路平面线形拟合参数初始值。
[Abstract]:On the problem of determining the initial values of the plane linear fitting parameters of the old road by using the measured data, the relevant theoretical techniques are not perfect enough. The initial values of the plane alignment fitting parameters of the old road play an important role in the old road reconstruction project, such as adjusting the plane alignment of the old road and improving the accuracy of the plane alignment fitting of the old road. On the basis of Professor Liu Su of Changsha University of Science and Technology "Research on computer aided fitting Technology of plane alignment of Old Road", this paper further studies the initial value of plane alignment fitting parameter of old road combined with G321 line reconstruction and expansion project. The initial values of the old plane linear fitting parameters include the initial values of the linear fitting parameters and the initial values of the curve fitting parameters. In this paper, the linear equations are obtained by linear regression least square fitting, and the initial values of the fitting parameters are determined. The initial values of curve fitting parameters include the radius of circle curve, the coordinate of circle center and the length of transition curve. On the basis of the radius of circle curve and the coordinate of circle center, the length of transition curve is determined only by the corresponding function relation, which is relatively simple. Therefore, the key to determine the initial values of plane linear fitting parameters is how to obtain the initial values of circular curve fitting parameters, including the radius of circular curve and the coordinate of circle center. In this paper, the number of fitting points of circular curve is more than 3, and a new method of circular curve fitting-multi-combination average method is proposed to improve the accuracy of initial value of circular curve fitting parameters in order to improve the accuracy of the initial value of the fitting parameters of circular curve. On the premise of determining the fitting point of the circular curve, the initial values of the fitting parameters of the circular curve are calculated by means of different combination methods, and each combination of the average values has the corresponding error in the fitting of the circular curve. The initial value of the fitting parameter of the circular curve corresponding to the combination with the minimum error is taken as the initial value of the final fitting parameter of the circular curve. At the same time, the multi-combinatorial average method is compared with other methods to verify its applicability. The application of multi-combination average method in plane linear fitting is realized by VB programming. Through the CAD diagram of circle curve fitting of several sections, it is proved that the error of circle curve fitting depends on the discreteness of the fitting point of circle curve, and the influencing factors of the degree of dispersion are analyzed. In order to improve the accuracy of road surface grading, the main reason for the dispersion degree of road surface center point is to determine the error of road surface centralization, and adopt the corresponding method to improve the accuracy of road surface grading. Based on the case study of the old road reconstruction project of National Highway 321, the initial values of plane linear fitting parameters of the whole road are determined by using the VB program (which combines the principle of linear regression least square fitting and the multi-combination average method). Finally, according to the criterion and the principle of symmetry transition curve, the initial values of the calculated old road plane alignment fitting parameters are adjusted, and the original values of the adjusted old road plane alignment fitting parameters are obtained.
【学位授予单位】：长沙理工大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：U412;U418.8
本文编号：2443932
[Abstract]:On the problem of determining the initial values of the plane linear fitting parameters of the old road by using the measured data, the relevant theoretical techniques are not perfect enough. The initial values of the plane alignment fitting parameters of the old road play an important role in the old road reconstruction project, such as adjusting the plane alignment of the old road and improving the accuracy of the plane alignment fitting of the old road. On the basis of Professor Liu Su of Changsha University of Science and Technology "Research on computer aided fitting Technology of plane alignment of Old Road", this paper further studies the initial value of plane alignment fitting parameter of old road combined with G321 line reconstruction and expansion project. The initial values of the old plane linear fitting parameters include the initial values of the linear fitting parameters and the initial values of the curve fitting parameters. In this paper, the linear equations are obtained by linear regression least square fitting, and the initial values of the fitting parameters are determined. The initial values of curve fitting parameters include the radius of circle curve, the coordinate of circle center and the length of transition curve. On the basis of the radius of circle curve and the coordinate of circle center, the length of transition curve is determined only by the corresponding function relation, which is relatively simple. Therefore, the key to determine the initial values of plane linear fitting parameters is how to obtain the initial values of circular curve fitting parameters, including the radius of circular curve and the coordinate of circle center. In this paper, the number of fitting points of circular curve is more than 3, and a new method of circular curve fitting-multi-combination average method is proposed to improve the accuracy of initial value of circular curve fitting parameters in order to improve the accuracy of the initial value of the fitting parameters of circular curve. On the premise of determining the fitting point of the circular curve, the initial values of the fitting parameters of the circular curve are calculated by means of different combination methods, and each combination of the average values has the corresponding error in the fitting of the circular curve. The initial value of the fitting parameter of the circular curve corresponding to the combination with the minimum error is taken as the initial value of the final fitting parameter of the circular curve. At the same time, the multi-combinatorial average method is compared with other methods to verify its applicability. The application of multi-combination average method in plane linear fitting is realized by VB programming. Through the CAD diagram of circle curve fitting of several sections, it is proved that the error of circle curve fitting depends on the discreteness of the fitting point of circle curve, and the influencing factors of the degree of dispersion are analyzed. In order to improve the accuracy of road surface grading, the main reason for the dispersion degree of road surface center point is to determine the error of road surface centralization, and adopt the corresponding method to improve the accuracy of road surface grading. Based on the case study of the old road reconstruction project of National Highway 321, the initial values of plane linear fitting parameters of the whole road are determined by using the VB program (which combines the principle of linear regression least square fitting and the multi-combination average method). Finally, according to the criterion and the principle of symmetry transition curve, the initial values of the calculated old road plane alignment fitting parameters are adjusted, and the original values of the adjusted old road plane alignment fitting parameters are obtained.
【学位授予单位】：长沙理工大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：U412;U418.8
【参考文献】
相关期刊论文 前1条
1 廖若宇;陈雨人;;基于数字图像的道路平面线形恢复的研究[J];交通信息与安全;2011年02期
，本文编号：2443932
本文链接：https://www.wllwen.com/kejilunwen/jiaotonggongchenglunwen/2443932.html
