Adde, Geoffray (2005) Image Processing Methods Applied to the Magneto-Electro-Encephalography Inverse Problem. PhD thesis, ENPC.
Abstract
This PhD work deals with forward and inverse problem in magnetoencephalography (MEG) and electroencephalography (EEG). Three topics are addressed. The forward problem is issued by the boundary element method (BEM). A new formulation, called symmetric formulation, is proposed. This new formulation is then applied to the electrical impedance tomography (EIT) for which two conductivity estimation algorithms are proposed. The inverse problem is addressed in the imaging approach framework. Image regularization techniques by means of diffusion processes are transposed to the inverse problem in order to constrain the reconstruction of distributed sources. Several algorithms are proposed, one of them computes the minimal total variation solution.
| Item Type: | PhD Thesis (PhD) |
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| Thesis Supervisor: | Faugeras, Olivier |
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| Date: | 2005 |
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| Board of examiners: | Baillet, Sylvain and Bloch, Isabelle and Anwander, Alfred and Blum, Jacques and Keriven, Renaud and Faugeras, Olivier |
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| Collection (Fonds): | ENPC |
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| Institution: | ENPC |
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| Subjects: | 2. Information and Communication Sciences and Technologies |
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| Uncontrolled Keywords: | magnetoencephalography (MEG), electroencephalography (EEG), Forward problem, Boundary elements, Symmetric formulation, Conductivity estimation, Electrical Impedance Tomography (EIT), Inverse problem, Source estimation, Imaging approach, Distributed sources, Image regularization, Total variation., magnétoencéphalographie (MEG), électroencéphalographie (EEG), Problème direct, éléments frontière, Formulation symétrique, Estimation de conductivité, tomographie par impédance électrique (EIT), Problème inverse, Estimation de sources, Approche image, Sources distribuées, Régularisation d’image, Variation totale. |
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