Geodesic
Boundary Element formulation for Electrical Impedance Tomography
M. Clerc1 ; J.-M. Badier2 ; G. Adde1 ; J. Kybic3 ; T. Papadopoulo1
1Odyssée Laboratory, ENPC–ENS Ulm–INRIA, France , ,
2Laboratoire de Neurophysiologie et Neuropsychologie, INSERM Université de la Méditerranée, Marseille, France
3Center for Machine Perception, CTU, Prague, Czech Republic
ESAIM. Proceedings, Tome 14 (2005), pp. 63-71
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This paper concerns the modelisation and simulation of the forward problem of Electrical Impedance Tomography (EIT), i.e. the computation of an electrical potential due to an applied boundary current. The underlying goal is the estimation of the conductivities of the head tissues, in particular the skull, in order to improve the head models used in Electroencephalography (EEG). In the quasistatic approximation, the problem can be modeled by a Poisson equation with a non-vanishing Neumann boundary condition. We introduce a symmetric boundary integral formulation, which is discretized using mixed finite elements, and show its application to an EIT experiment in view of estimating skull conductivity.
DOI : 10.1051/proc:2005006

M. Clerc  1   ; J.-M. Badier  2   ; G. Adde  1   ; J. Kybic  3   ; T. Papadopoulo  1

1 Odyssée Laboratory, ENPC–ENS Ulm–INRIA, France , ,
2 Laboratoire de Neurophysiologie et Neuropsychologie, INSERM Université de la Méditerranée, Marseille, France
3 Center for Machine Perception, CTU, Prague, Czech Republic 
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     author = {M. Clerc and J.-M. Badier and G. Adde and J. Kybic and T. Papadopoulo},
     title = {Boundary {Element} formulation for {Electrical} {Impedance} {Tomography}},
     journal = {ESAIM. Proceedings},
     pages = {63--71},
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     doi = {10.1051/proc:2005006},
     language = {en},
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M. Clerc; J.-M. Badier; G. Adde; J. Kybic; T. Papadopoulo. Boundary Element formulation for Electrical Impedance Tomography. ESAIM. Proceedings, Tome 14 (2005), pp. 63-71. doi: 10.1051/proc:2005006

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