A stochastic filtering technique for fluid flows velocity fields tracking

Anne Cuzol (1) , Etienne Mémin (2)

1 Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance (UMR 3192)
2 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences

In this paper we present a method for the temporal tracking of fluid flows velocity fields. The technique we propose is formalized within a sequential Bayesian filtering framework. The filtering model combines an Itˆo diffusion process coming from a stochastic formulation of the vorticity-velocity form of the Navier-Stokes equation and discrete measurements extracted from the image sequence. In order to handle a state space of reasonable dimension, the motion field is represented as a combination of adapted basis functions, derived from a discretization of the vorticity map of the fluid flow velocity field. The resulting non linear filtering problem is solved with the particle filter algorithm in continuous time. An adaptive dimensional reduction method is applied to the filtering technique, relying on dynamical systems theory. The efficiency of the tracking method is demonstrated on synthetic and real world sequences.

Mots clés: Motion estimation; tracking; non linear stochastic filtering; fluid flows

Domaines: Traitement des images [eess.IV]; Applications [stat.AP]

Anne Cuzol, Etienne Mémin. A stochastic filtering technique for fluid flows velocity fields tracking. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2009, 31 (7), pp.1278-1293. ⟨10.1109/TPAMI.2008.152⟩. ⟨hal-00369016⟩