SOLVING ILL-POSED PROBLEMS USING DATA ASSIMILATION - Application to Optical Flow Estimation

Dominique Béréziat, Isabelle Herlin

2009

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 temporal regularity on the solution.

Paper Citation

in Harvard Style

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 - Volume 1: VISAPP, (VISIGRAPP 2009) ISBN 978-989-8111-69-2, pages 595-602. DOI: 10.5220/0001792205950602

in Bibtex Style

@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 - Volume 1: VISAPP, (VISIGRAPP 2009)},
year={2009},
pages={595-602},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001792205950602},
isbn={978-989-8111-69-2},
}

in EndNote Style

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