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Authors: Isabelle Herlin 1 ; Dominique Béréziat 2 and Nicolas Mercier 1

Affiliations: 1 INRIA, Institut National de Recherche en Informatique et Automatique and Université Paris-Est, France ; 2 UPMC and Université Pierre et Marie Curie, France

Keyword(s): Optical Flow, Data Assimilation, Optimal Control.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Motion, Tracking and Stereo Vision ; Optical Flow and Motion Analyses

Abstract: Image assimilation methods are nowadays widely used to retrieve motion from image sequences with heuristics on the underlying dynamics. A mathematical model on the temporal evolution of the motion field has to be chosen, according to these heuristics, that approximately describes the evolution of the velocity at a pixel over the sequence. In order to quantify this approximation, we add an error term in the evolution equation of the motion field and design a weak formulation of 4D-Var image assimilation. The designed cost function simultaneously depends on the initial motion field and on the error value at each time step. The BFGS solver performs minimization to retrieve both motion field and errors. The method is evaluated and quantified on twin experiments, as no ground truth would be available for real data. The results demonstrate that the motion field is better estimated thanks to the error control.

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Paper citation in several formats:
Herlin, I.; Béréziat, D. and Mercier, N. (2012). IMPROVEMENT OF MOTION ESTIMATION BY ASSESSING THE ERRORS ON THE EVOLUTION EQUATION. In Proceedings of the International Conference on Computer Vision Theory and Applications (VISIGRAPP 2012) - Volume 1: VISAPP; ISBN 978-989-8565-04-4; ISSN 2184-4321, SciTePress, pages 235-240. DOI: 10.5220/0003815802350240

@conference{visapp12,
author={Isabelle Herlin. and Dominique Béréziat. and Nicolas Mercier.},
title={IMPROVEMENT OF MOTION ESTIMATION BY ASSESSING THE ERRORS ON THE EVOLUTION EQUATION},
booktitle={Proceedings of the International Conference on Computer Vision Theory and Applications (VISIGRAPP 2012) - Volume 1: VISAPP},
year={2012},
pages={235-240},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003815802350240},
isbn={978-989-8565-04-4},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the International Conference on Computer Vision Theory and Applications (VISIGRAPP 2012) - Volume 1: VISAPP
TI - IMPROVEMENT OF MOTION ESTIMATION BY ASSESSING THE ERRORS ON THE EVOLUTION EQUATION
SN - 978-989-8565-04-4
IS - 2184-4321
AU - Herlin, I.
AU - Béréziat, D.
AU - Mercier, N.
PY - 2012
SP - 235
EP - 240
DO - 10.5220/0003815802350240
PB - SciTePress

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