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

@inproceedings{Faugeras1999TheIE,
  title={The Inverse EEG and MEG Problems : The Adjoint State Approach I: The Continuous Case},
  author={Olivier D. Faugeras and François Cl{\'e}ment and Rachid Deriche and Renaud Keriven and Th{\'e}odore Papadopoulo and Jean E. Roberts and Thierry Vi{\'e}ville and Frederic Devernay and Jos{\'e} Gomes and Gerardo Hermosillo and Pierre Kornprobst and Diane Lingrand},
  year={1999}
}
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 rst one is the optimal control of systems governed by elliptic partial diierential equations, the second is the regularization of the solutions while preserving the discontinuities (the edges), and the third one is the use of geometric… CONTINUE READING

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