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Reproducing Estimators via Least-Squares: An Optimal Alternative to the Helmert Transformation

2003
One 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
openaire   +1 more source

A note on the Helmert transformation

Communications in Statistics - Theory and Methods, 2022
Reza Farhadian, Brenton R Clarke
exaly  

Simultaneous Helmert transformations among multiple frames considering all relevant measurements

Measurement Science and Technology, 2018
Guobin Chang   +3 more
openaire   +1 more source

Iterative solution of Helmert transformation based on a unit dual quaternion

Acta Geodaetica Et Geophysica, 2018
Huaien Zeng, Guobin Chang, Haiqing He
exaly  

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