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High-resolution ocean dynamics from microcanonical formulations in non linear complex signal analysis
Yahia H., Sudre J., Garçon V., Pottier C.
AGU FALL MEETING, San Francisco : États-Unis (2011) - http://hal.inria.fr/hal-00650224
Conférences invitées
Informatique/Traitement du signal et de l'image
Sciences de l'ingénieur/Traitement du signal et de l'image
High-resolution ocean dynamics from microcanonical formulations in non linear complex signal analysis
Hussein Yahia () 1, J. Sudre 2, 3, V. Garçon 2, 3, Claire Pottier 2, 4
1 :  Geostat (INRIA Bordeaux - Sud-Ouest)
INRIA
France
2 :  Laboratoire d'études en Géophysique et océanographie spatiales (LEGOS)
http://www.legos.obs-mip.fr/
CNRS : UMR5566 – Institut de recherche pour le développement [IRD] – CNES – Observatoire Midi-Pyrénées – INSU – Université Paul Sabatier [UPS] - Toulouse III
14 avenue Edouard Belin 31400 Toulouse
France
3 :  Equipe Dynamique Physique/Biogéochimie Marine (DynBio)
http://www.legos.obs-mip.fr/fr/equipes/couleur/
CNRS : UMR5566 – Laboratoire D'Étude en Géophysique et Océanographie Spatiales – CNES – Université Paul Sabatier [UPS] - Toulouse III – Institut de Recherche pour le Développement
LEGOS/OMP - 14, Av. Edouard Belin - 31400 Toulouse
France
4 :  Centre National d'Etudes Spatiales (CNES)
Ministère de l'Enseignement Supérieur et de la Recherche Scientifique
18 avenue Edouard Belin - 31055 Toulouse Cedex
France
This article develops on a microcanonical formulation for the analysis of the dynamics in acquisitions of remotely sensed oceanographic images using non-linear methods. In new approaches to complexity, fundamental quantities such as singularity exponents (SEs) are computed without any stationary hypothesis, i.e. in situations far from statistical equilibrium, as it is the case in Oceanography. SEs characterize rigorously complex oceanographic coherent structures and their relations. These quantities can be computed from the acquired data using advanced signal processing tools. Computational precision is pivotal and we first give some details on techniques available in non-linear signal processing for computing SEs. SEs relate to the geometric structures linked with the cascading properties of indefinitely divisible variables in turbulent flows. In a second step, we show how cascading properties can be represented by optimal wavelets (OWs); this opens new and fascinating directions of research for the determination of ocean motion field at high spatial resolution. OWs in a microcanonical sense pave the way for the determination of the energy injection mechanisms between the scales. We describe a new method for the complete evaluation of oceanic motion field which consists in propagating along the scales the norm and the orientation of ocean dynamics deduced at low spatial resolution (geostrophic from altimetry and a part of ageostrophic from wind stress products). Using this approach, there is no need to use several temporal occurences as in Optical Flow, Maximum Cross Correlation or FSLE techniques. Instead, the proper determination of the turbulent cascading and energy injection mechanisms in oceanographic signals allows the determination of oceanic motion field at the SST or Ocean colour spatial resolution (pixel size: 4 kms) which often surpasses the results obtained with SQG models. We use the Regional Ocean Modelling System (ROMS) to validate the results on simulated data and compare the motion fields obtained with other techniques.
Anglais

09/12/2011
internationale
AGU FALL MEETING
San Francisco
États-Unis
05/12/2011
09/12/2011
American Geophysical Union
http://geostat.bordeaux.inria.fr/index.php/agu.html

01/09/2011
Contrat HIRESUBCOLOR OSTST CNES/NASA