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Identification of velocity fields for geophysical fluids from a sequence of images

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Abstract

We propose an algorithm to estimate the motion between two images. This algorithm is based on the nonlinear brightness constancy assumption. The number of unknowns is reduced by considering displacement fields that are piecewise linear with respect to each space variable, and the Jacobian matrix of the cost function to be minimized is assembled rapidly using a finite-element method. Different regularization terms are considered, and a multiscale approach provides fast and efficient convergence properties. Several numerical results of this algorithm on simulated and experimental geophysical flows are presented and discussed.

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Acknowledgments

We greatly acknowledge the MOISE research project of INRIA Rhône-Alpes (France) and the Coriolis project of LEGI (Grenoble, France) for providing us the synthetic and real data, respectively. This work is partly done within the MOISE INRIA team and supported by the French National Research Agency (ANR ADDISA). The first author was member of Institut de Mathématiques de Toulouse (Université Paul Sabatier, France) when he contributed to this paper. The authors also thank the referees for their useful comments and perspectives.

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Authors and Affiliations

  1. Laboratoire J. A. Dieudonné, Université de Nice Sophia Antipolis, 06108, Nice cedex 2, France

    Didier Auroux

  2. INRIA, Grenoble, Rhône-Alpes, France

    Didier Auroux

  3. Institut de Mathématiques de Toulouse, Université Paul Sabatier Toulouse 3, 31062, Toulouse cedex 9, France

    Jérôme Fehrenbach

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  1. Didier Auroux
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  2. Jérôme Fehrenbach
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Correspondence to Didier Auroux.

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Auroux, D., Fehrenbach, J. Identification of velocity fields for geophysical fluids from a sequence of images. Exp Fluids 50, 313–328 (2011). https://doi.org/10.1007/s00348-010-0926-9

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  • DOI: https://doi.org/10.1007/s00348-010-0926-9

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