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Reports Year : 2003

Integral Formulations for the EEG Problem

Maureen Clerc
  • Function : Author
  • PersonId : 843531
Toufic Abboud
  • Function : Author
Olivier Faugeras
Renaud  Keriven
  • Function : Author
Théodore Papadopoulo


The forward electro-encephalography (EEG) problem involves finding a potential V from the Poisson equation (V)=f, in which f represents electrical sources in the brain, and the conductivity of the head tissues. In the piecewise constant conductivity head model, this can be accomplished by the Boundary Element Method (BEM) using a suitable integral formulation. Most previous work is based on the same integral formulation, based on a double-lay- er potential. In this article we detail several alternative possibilities. We present a dual approach which involves a single-layer potential. Finally, we propose a symmetric formulation, which combines single and double-layer potentials, and which is new to the field of EEG, although it has been applied to other problems in electromagnetism. The three methods have been evaluated numerically using a semi-realistic geometry with known analytical solution, and the symmetric method achieves a significantly higher accuracy.


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Dates and versions

inria-00071852 , version 1 (23-05-2006)


  • HAL Id : inria-00071852 , version 1


Jan Kybic, Maureen Clerc, Toufic Abboud, Olivier Faugeras, Renaud  Keriven, et al.. Integral Formulations for the EEG Problem. RR-4735, INRIA. 2003. ⟨inria-00071852⟩
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