3-D Contrast Source Inversion-Electrical Properties Tomography

Contrast source inversion-electrical properties
tomography (CSI-EPT) is an iterative reconstruction
method to retrieve the electrical properties (EPs) of tissues
from magnetic resonance data. The method is based on
integral representations of the electromagnetic field and
has been shown to allow EP reconstructions of small structures
as well as tissue boundaries with compelling accuracy.
However, to date, the CSI-EPT has been implemented
for 2-D configurations only, which limits its applicability.
In this paper, a full 3-D extension of the CSI-EPT method is
presented, to enable CSI-EPT to be applied to realistic 3-D
scenarios. Here, we demonstrate a proof-of-principle of 3-D
CSI-EPT and present the reconstructions of a 3-D abdominal
body section and a 3-D head model using different settings
of the transmit coil. Numerical results show that the full 3-D
approach yields accurate reconstructions of the EPs, even
at tissue boundaries and is most accurate in regions where
the absolute value of the electric field is highest.