COLLOQUIUM 1/31/05

SPEAKER:  Samu Siltanen (GE Healthcare, Helsinki, Finland)

TITLE:    Electrical impedance tomography and Mittag-Leffler's 
          function

ABSTRACT: Electrical impedance tomography (EIT) is an imaging 
technique where currents are fed to an unknown physical 
body through electrodes attached to the boundary of the body. 
The  resulting voltages at the electrodes are measured, 
and information of the conductivity distribution inside
the body is reconstructed from the data. In this talk,
the conductivity inside a two-dimensional slice 
is assumed to contain inclusions in homogeneous background. 
Using Mittag-Leffler's function it is possible in theory to 
detect whether a given cone intersects the inclusions or not. 
A numerical algorithm based on the theory is introduced
and reconstructions from simulated data are presented.
The number of inclusions located away from each other 
can be estimated using the method, but the shape of the 
inclusions cannot be recovered.