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Authors: Dominique Béréziat 1 and Isabelle Herlin 2

Affiliations: 1 Université Pierre et Marie Curie, LIP6, France ; 2 INRIA, CEREA, Joint Laboratory ENPC-EDF R&D, Université Paris-Est, France

Keyword(s): Data Assimilation, Ill-posed Problem, Variational Formulation, Optical Flow, Missing Data.

Related Ontology Subjects/Areas/Topics: Applications ; Computer Vision, Visualization and Computer Graphics ; Human-Computer Interaction ; Image and Video Analysis ; Methodologies and Methods ; Motion and Tracking ; Motion, Tracking and Stereo Vision ; Pattern Recognition ; Physiological Computing Systems ; Software Engineering ; Video Analysis

Abstract: Data Assimilation is a mathematical framework used in environmental sciences to improve forecasts performed by meteorological, oceanographic or air quality simulation models. Data Assimilation techniques require the resolution of a system with three components: one describing the temporal evolution of a state vector, one coupling the observations and the state vector, and one defining the initial condition. In this article, we use this framework to study a class of ill-posed Image Processing problems, usually solved by spatial and temporal regularization techniques. A generic approach is defined to convert an ill-posed Image Processing problem in terms of a Data Assimilation system. This method is illustrated on the determination of optical flow from a sequence of images. The resulting software has two advantages: a quality criterion on input data is used for weighting their contribution in the computation of the solution and a dynamic model is proposed to ensure a significant tempor al regularity on the solution. (More)

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Paper citation in several formats:
Béréziat, D. and Herlin, I. (2009). SOLVING ILL-POSED PROBLEMS USING DATA ASSIMILATION - Application to Optical Flow Estimation. In Proceedings of the Fourth International Conference on Computer Vision Theory and Applications (VISIGRAPP 2009) - Volume 1: VISAPP; ISBN 978-989-8111-69-2; ISSN 2184-4321, SciTePress, pages 595-602. DOI: 10.5220/0001792205950602

@conference{visapp09,
author={Dominique Béréziat. and Isabelle Herlin.},
title={SOLVING ILL-POSED PROBLEMS USING DATA ASSIMILATION - Application to Optical Flow Estimation},
booktitle={Proceedings of the Fourth International Conference on Computer Vision Theory and Applications (VISIGRAPP 2009) - Volume 1: VISAPP},
year={2009},
pages={595-602},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001792205950602},
isbn={978-989-8111-69-2},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the Fourth International Conference on Computer Vision Theory and Applications (VISIGRAPP 2009) - Volume 1: VISAPP
TI - SOLVING ILL-POSED PROBLEMS USING DATA ASSIMILATION - Application to Optical Flow Estimation
SN - 978-989-8111-69-2
IS - 2184-4321
AU - Béréziat, D.
AU - Herlin, I.
PY - 2009
SP - 595
EP - 602
DO - 10.5220/0001792205950602
PB - SciTePress