Terrestrial laser scanning (TLS) has gained prominence as a deformation monitoring
technology in various fields such as bridges and tunnels. This paper offers a comprehensive …

The weighted total least squares (TLS) method has been developed to deal with observation
equations, which are functions of both unknown parameters of interest and other measured …

A standard errors-in-variables (EIV) model refers to a Gauss–Markov model with an
uncertain model matrix from a geodetic perspective. Least squares within the EIV model is …

In this contribution it is shown that the so-called “total least-squares estimate”(TLS) within an
errors-in-variables (EIV) model can be identified as a special case of the method of least …

目的提出了一种基于整体最小二乘的空间直线拟合方法. 首先, 对空间直线的标准式方程进行
变换, 并附加参数转换的过程, 将6 个参数简化为4 个; 然后, 将方程改写为矩阵形式 …

Although data processing in geodetic applications often relies on the least-squares method,
the Gauss-Markov model with uncertain model matrix has to be solved rigorously using the …

In this contribution, an iterative algorithm is developed for parameter estimation in a
nonlinear measurement error model y− e=(A− EA) x, which is based on the complete …

Point cloud fitting plays an important role in various applications of laser scanning
technology. Currently, the most dominant algorithms are the linear least-squares (LS) …

Large-span suspended domes often serve as landmarks for cities or countries. This paper
proposes a videogrammetric method for monitoring the 3D deformation of internal key nodes …

Accurate absolute measurement of existing lines is a task of fundamental importance to
provide scientific basis for reconstruction. Traditional railway track survey methods in …