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Reports (Research Report) Year : 1999

The Inverse EEG and MEG Problems : The Adjoint State Approach I: The Continuous Case

Olivier Faugeras
Rachid Deriche
  • Function : Author
  • PersonId : 943743
Théodore Papadopoulo
Thierry Viéville
José Gomes
Pierre Kornprobst
Diane Lingrand

Abstract

In this report, we study the problem of the three-dimensional reconstruction of the electrical activity of the brain from electroencephalography (EEG) and magnetoencephalography (MEG). We use a variational approach based upon three main methods and ideas. The first one is the optimal control of systems governed by elliptic partial differential equations, the second is the regularization of the solutions while preserving the discontinuities (the edges), and the third one is the use of geometric information obtained from magnetic resonance images (MRI) to constrain the solutions in an anatomically «reasonable» way.
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Dates and versions

inria-00077112 , version 1 (29-05-2006)

Identifiers

  • HAL Id : inria-00077112 , version 1

Cite

Olivier Faugeras, François Clément, Rachid Deriche, Renaud Keriven, Théodore Papadopoulo, et al.. The Inverse EEG and MEG Problems : The Adjoint State Approach I: The Continuous Case. [Research Report] RR-3673, INRIA. 1999, pp.28. ⟨inria-00077112⟩
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