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Optimisation d'algorithmes en tomographie optique de fluorescence 3D

Apport des ondelettes pour la modélisation

Language FrenchFrench
Book Paperback
Book Optimisation d'algorithmes en tomographie optique de fluorescence 3D Anne Landragin-Frassati
Libristo code: 15199555
Publishers Éditions universitaires européennes, November 2015
La tomographie optique diffuse de fluorescence permet de développer des systčmes d'imagerie fonction... Full description
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La tomographie optique diffuse de fluorescence permet de développer des systčmes d'imagerie fonctionnelle. Elle permet le suivi in vivo de la biodistribution de marqueurs spécifiques fluorescents, dans le but de développer de nouvelles thérapies, en particulier dans le domaine de l'étude de cancers. Le travail est appliqué au problčme mathématique de la tomographie, qui peut ętre formulé en termes de paramčtres physiques dans un ensemble d'Equations aux Dérivées Partielles. La Méthode des Eléments Finis a été choisie ici pour résoudre ces EDPs, mais elle consomme beaucoup de temps et de mémoire de calcul. Notre objectif est d'accélérer la résolution du systčme. Dans un premier temps, une analyse multirésolution a été choisie: les matrices apparaissant dans la version discrétisée des EDPs sont projetées sur une base orthonormale d'ondelettes de Haar. On obtient des approximations des matrices. Dans un deuxičme temps, la méthode de Galerkin-ondelettes est choisie ŕ la place de la MEF standard: les polynômes d'interpolation classiquement utilisés par la MEF sont directement remplacés par des ondelettes de Daubechies. On s'affranchit alors de l'étape de maillage.

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About the book

Full name Optimisation d'algorithmes en tomographie optique de fluorescence 3D
Author Anne Landragin-Frassati
Language French
Binding Book - Paperback
Date of issue 2016
Number of pages 228
EAN 9783639745276
Libristo code 15199555
Publishers Éditions universitaires européennes
Weight 358
Dimensions 150 x 220 x 14

Categories

Mathematics & Science > Mathematics
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