Orthonormal matrices, Procrustes and quaternion analysis are closed form solutions of the configuration matching problem, common in geodesy as in the datum transformation problem. Literature reports more Procrustes based geodetic applications than Quaternions, which are more used in other application fields, such as aerospace navigation, robotics and computer vision. The large popularity of Procrustes in geodesy is mainly due to its capability to take into account a priori observation weighting in a simple way.
A review on non iterative closed form configuration matching and rotations estimation / DE AGOSTINO, Mattia; Porporato, CHIARA MARIA; Roggero, Marco. - STAMPA. - 137:(2012), pp. 347-352. (Intervento presentato al convegno VII Hotine-Marussi Symposium on Mathematical Geodesy tenutosi a Roma nel 6-10 giugno 2009) [10.1007/978-3-642-22078-4_52].
A review on non iterative closed form configuration matching and rotations estimation
DE AGOSTINO, MATTIA;PORPORATO, CHIARA MARIA;ROGGERO, MARCO
2012
Abstract
Orthonormal matrices, Procrustes and quaternion analysis are closed form solutions of the configuration matching problem, common in geodesy as in the datum transformation problem. Literature reports more Procrustes based geodetic applications than Quaternions, which are more used in other application fields, such as aerospace navigation, robotics and computer vision. The large popularity of Procrustes in geodesy is mainly due to its capability to take into account a priori observation weighting in a simple way.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2372830
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