Articles with "helmert transformation" as a keyword



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Iterative solution of Helmert transformation based on a unit dual quaternion

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Published in 2018 at "Acta Geodaetica et Geophysica"

DOI: 10.1007/s40328-018-0241-0

Abstract: The rigid motion involving both rotation and translation in the 3D space can be simultaneously described by a unit dual quaternion. Considering this excellent property, the paper constructs the Helmert transformation (seven-parameter similarity transformation) model… read more here.

Keywords: quaternion; helmert transformation; dual quaternion; transformation ... See more keywords
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Helmert transformation solutions combination and update with new measurements

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Published in 2019 at "Acta Geodaetica et Geophysica"

DOI: 10.1007/s40328-019-00249-5

Abstract: This work is concerned with refining the Helmert solutions in two different cases, namely combining different solutions and updating old solutions with newly available measurement data. The parameters to be estimated in the solutions here… read more here.

Keywords: helmert transformation; solutions combination; update new; combination update ... See more keywords