Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (1): 232-234.
Previous Articles Next Articles
WU Guiqing, HU Xian, ZHANG Limin
Online:
Published:
吴桂清,胡 弦,张利民
Abstract: According to the features of versine data of the railway curve and for the independent variables and the dependent variable both contain random errors, the Weighted Total Least-Square(WTLS) adjustment in curve fitting based on the EIV(Error-in-Variables) model is included. The weighted matrix[Py], [Px] and [P0] are introduced by analyzing fitting point contributions to the uncertainty and amending to the column vectors of the design matrix[A]. In addition, the selecting weight iteration algorithm is given. The calculate example proves that WTLS is greater accurate indeed than?the traditional LS and TLS methods.
Key words: versine fitting, Error-in-Variables(EIV)model, Weighted Total Least-Square(WTLS);selecting weight?iteration
摘要: 针对铁路线路正矢数据特征,考虑自变量、因变量同时存在误差的情况,提出EIV(Error-in-Variables)模型下的加权总体最小二乘法(WTLS)进行曲线拟合。通过分析拟合点贡献的不等确定度以及修正设计矩阵[A]的列向量分别引入权阵[Py、][Px、][P0],并给出选权迭代算法。经实例证明,WTLS比传统的LS、TLS方法具有更高的拟合精度。
关键词: 正矢拟合, EIV模型, 加权总体最小二乘法(WTLS), 选权迭代
WU Guiqing, HU Xian, ZHANG Limin. Application of weighted total least-square adjustment to the versine fitting of the railway curve[J]. Computer Engineering and Applications, 2014, 50(1): 232-234.
吴桂清,胡 弦,张利民. 加权总体最小二乘在铁路曲线正矢拟合的应用[J]. 计算机工程与应用, 2014, 50(1): 232-234.
0 / Recommend
Add to citation manager EndNote|Ris|BibTeX
URL: http://cea.ceaj.org/EN/
http://cea.ceaj.org/EN/Y2014/V50/I1/232