Rauh, Andreas ; John, Kristine ; Wüstenhagen, Carolin ; Bruschewski, Martin ; Grundmann, Sven
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
In the frame of stochastic filtering for nonlinear (discrete-time) dynamic systems, the unscented transformation plays a vital role in predicting state information from one time step to another and correcting a priori knowledge of uncertain state estimates by available measured data corrupted by random noise. In contrast to linearization-based techniques, such as the extended Kalman filter, the use of an unscented transformation not only allows an approximation of a nonlinear process or measurement model in terms of a first-order Taylor series expansion at a single operating point, but it also leads to an enhanced quantification of the first two moments of a stochastic probability distribution by a large signal-like sampling of the state space at the so-called sigma points which are chosen in a deterministic manner. ; In this paper, a novel application of the unscented transformation technique is presented for the stochastic analysis of measurement uncertainty in magnet resonance imaging (MRI). A representative benchmark scenario from the field of velocimetry for engineering applications which is based on measured data gathered at an MRI scanner concludes this contribution.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 31, number 1 (2021) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
18 lip 2025
18 lip 2025
8
https://zbc.uz.zgora.pl/repozytorium/publication/101330
Rauh, Andreas Jaulin, Luc Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Rauh, Andreas Minisini, Johanna Hofer, Eberhard P. Rauh, Andreas - ed. Auer, Ekaterina - ed. Hofer,Eberhard P. - ed. Luther, Wolfram - ed.
Rauh, Andreas Brill, Michael Günther, Clemens Rauh, Andreas - ed. Auer, Ekaterina - ed. Hofer,Eberhard P. - ed. Luther, Wolfram - ed.
Auer, Ekaterina Kiel, Stefan Rauh, Andreas Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Rauh, Andreas Butt, Saif S. Aschemann, Harald Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Rauh, Andreas Senkel, Luise Aschemann, Harald Saurin, Vasily V. Kostin, Georgy V. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.