Reflections on the Inverse EEG and MEG Problems

Thursday, October 12, 2000 - 10:15am - 10:55am
Keller 3-180
Olivier Faugeras (Institut National de Recherche en Informatique Automatique (INRIA))
I discuss the problem of the three-dimensional reconstruction of the electrical activity of the brain from electroencephalography (EEG) and magnetoencephalography (MEG). I propose 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. Some preliminary results of implementations of these ideas are presented.