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) …

A new method through Gauss–Helmert model of adjustment is presented for the solution of
the similarity transformations, either 3D or 2D, in the frame of errors-in-variables (EIV) model …

To obtain more accurate formulas for precision estimation and to continue work on the
adjustment of total least squares (TLS), the second-order approximation function method for …

Abstract Three-dimensional (3D) coordinate transformations, generally consisting of origin
shifts, axes rotations, scale changes, and skew parameters, are widely used in many …

The partial errors-in-variables (PEIV) model is an structured errors-in-variables (SEIV) model
reformulated by collecting all the random elements of the coefficient matrix into an auxiliary …

Total least squares (TLS) has been comprehensively explored over the last few decades
due to its excellent statistical properties. However, the unsatisfactory efficiency of TLS from …

The horizontal alignment geometric parameter is an important basis for road management,
safety analysis, and railway maintenance. Therefore, the identification of horizontal curve …

Weighted total least-squares (WTLS) adjustment is a rigorous method used for estimating
parameters in the errors-in-variables (EIV) model. However, its computational efficiency is …

Abstract Three-dimensional (3D) similarity transformation is popularly applied for
measurement datum transformation. In this study, a seamless partial errors-in-variables …

The total least squares (TLS) method within the Errors-In-Variables (EIV) model has been
comprehensively investigated in measurement and its relevant fields. However, when prior …