Application of weighted total least-square adjustment to the versine fitting of the railway curve
WU Gui-qin · Computer Engineering and Applications Journal · 2014
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 P y, P x and P 0 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.