@Article{Clerc-JIP2007,
  IS = { zkontrolovano 30 Nov 2007 },
  UPDATE  = { 2007-11-30 },
  author =       {Clerc, Maureen and Kybic, Jan},
  title =        {Cortical mapping by {L}aplace-{C}auchy transmission
                  using a boundary element method.},
  journal =      {Journal on Inverse Problems},
  publisher =    {Institute of Physics},
  address =      {Institute of Physics Publishing, Dirac House, 
                  Temple Back, BS1 6BE, Bristol, UK},
  issn =         {0266-5611},
  project =      {MSM6840770012},
  authorship =   {50-50},
  month =        {December},
  number =       {6},
  volume =       {23},
  pages =        {2589--2601},
  url = {ftp://cmp.felk.cvut.cz/pub/cmp/articles/kybic/Clerc-JIP2007.pdf},
  psurl =        {[PDF,2MB]},
  year =         {2007},
  annote = {The Laplace-Cauchy problem of propagating Dirichlet and
    Neumann data from a portion to the rest of the boundary is an
    ill-posed inverse problem. Many regularizing algorithms have been
    recently proposed, in order to stabilize the solution with respect
    to noisy or incomplete data. Our main application is in
    electro-encephalography (EEG) where potential measurements
    available at part of the scalp are used to reconstruct the
    potential and the current on the inner skull surface. This
    problem, known as cortical mapping, and other applications --- in
    fields such as nondestructive testing, or biomedical engineering
    --- require to solve the problem in realistic, three-dimensional
    geometry. The goal of this article is to present a new boundary
    element based method for solving the Laplace-Cauchy problem in
    three dimensions, in a multilayer geometry. We validate the method
    experimentally on simulated data.},
  keywords =     {Cauchy problem, Boundary Element Method, 
                  Cortical Mapping, Electroencephalography},
}