Analyse multirésolution opérée sur des exposants de singularité en formalisme microcanonique: détermination de la dynamique océanique et des échanges océan/atmosphère submésoéchelle

Joel Sudre 1, 2 Hussein Yahia 3 Véronique Garçon 1, 2
2 DYNBIO LEGOS
LEGOS - Laboratoire d'études en Géophysique et océanographie spatiales
Abstract : This article introduces a novel methodology for the determination of super-resolution surface ocean dynamics (submesoscale). The method applies as well for the generation of physical variables at high resolution in complex signals from low resolution data; it makes use of inference along the scales of information propagated with a multiresolution analysis computed on the multiscale hierarchy present in complex systems acquisitions. We demonstrate the generality of the approach by computing at high resolution pCO2 pression maps from low resolution data, thus showing the potential of the method in super-resolution mapping of ocean/atmosphere interaction. The key idea is to perform a multiresolution analysis computed on transitions in a complex signal, these transitions being given by singularity exponents computed in a microcanonical framework.
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Joel Sudre, Hussein Yahia, Véronique Garçon. Analyse multirésolution opérée sur des exposants de singularité en formalisme microcanonique: détermination de la dynamique océanique et des échanges océan/atmosphère submésoéchelle. XXIVe Colloque Gretsi - Traitement du Signal et des Images, Gretsi 2013, Sep 2013, Brest, France. ⟨hal-00823579v2⟩

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