Fluid flow estimation with multiscale ensemble filters based on motion measurements under location uncertainty

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Abstract

This paper proposes a novel multi-scale fluid flow data assimilation approach, which integrates and complements the advantages of a Bayesian sequential assimilation technique, the Weighted Ensemble Kalman filter (WEnKF) [27]. The data assimilation proposed in this work incorporates measurement brought by an efficient multiscale stochastic formulation of the well-known Lucas-Kanade (LK) estimator. This estimator has the great advantage to provide uncertainties associated to the motion measurements at different scales. The proposed assimilation scheme benefits from this multi-scale uncertainty information and enables to enforce a physically plausible dynamical consistency of the estimated motion fields along the image sequence. Experimental evaluations are presented on synthetic and real fluid flow sequences. © 2013 Global-Science Press.

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Beyou, S., Corpetti, T., Gorthi, S., & Mémin, E. (2013). Fluid flow estimation with multiscale ensemble filters based on motion measurements under location uncertainty. Numerical Mathematics, 6(1), 21–46. https://doi.org/10.4208/nmtma.2013.mssvm02

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