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Acta Geodaetica et Geophysica Hungarica, 2012
The laws of nature in general, and the relations and laws in geodesy in particular can be expressed in most cases by nonlinear equations which are in general solved by transforming them to linear form and applying iteration. The process of bringing the equations to linear form implies neglections and approximation.
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The laws of nature in general, and the relations and laws in geodesy in particular can be expressed in most cases by nonlinear equations which are in general solved by transforming them to linear form and applying iteration. The process of bringing the equations to linear form implies neglections and approximation.
openaire +2 more sources
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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A note on the Helmert transformation
Communications in Statistics - Theory and Methods, 2022Reza Farhadian, Brenton R Clarke
exaly
On the Use of the Helmert Transformation, and its Applications in Panel Data Econometrics
Journal of Econometric Methods, 2023Gueorgui I Kolev, Helmuts Āzacis
exaly
On least-squares solution to 3D similarity transformation problem under Gauss–Helmert model
Journal of Geodesy, 2015Guobin Chang
exaly
Representation of the rotation parameter estimation errors in the Helmert transformation model
Survey Review, 2018Guobin Chang
exaly
Iterative solution of Helmert transformation based on a unit dual quaternion
Acta Geodaetica Et Geophysica, 2018Huaien Zeng, Guobin Chang, Haiqing He
exaly