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Reproducing Estimators via Least-Squares: An Optimal Alternative to the Helmert Transformation
2003One of the classical procedures for geodetic network densification consists in a free net adjustment, followed by a so-called “Helmert transformation” with respect to the fiducial point set which is kept unchanged. Here we show that this approach is not optimal in terms of the Mean-Squared-Error (MSE) risk, and present a direct derivation, based on the
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On the Use of the Helmert Transformation, and its Applications in Panel Data Econometrics
Journal of Econometric Methods, 2023Gueorgui Kolev
exaly
A note on the Helmert transformation
Communications in Statistics - Theory and Methods, 2022Reza Farhadian, Brenton R Clarke
exaly
Simultaneous Helmert transformations among multiple frames considering all relevant measurements
Measurement Science and Technology, 2018Guobin Chang +3 more
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Iterative solution of Helmert transformation based on a unit dual quaternion
Acta Geodaetica Et Geophysica, 2018Huaien Zeng, Guobin Chang, Haiqing He
exaly
The non-linear 2D symmetric helmert transformation: An exact non-linear least-squares solution
Bulletin Geodesique, 2014Peter J G Teunissen
exaly
Representation of the rotation parameter estimation errors in the Helmert transformation model
Survey Review, 2018exaly

