Fast 3D Partial Boundary Data EIT Reconstructions using Direct Inversion CGO-based Methods
Journal:
arXiv
Published Date:
Dec 13, 2024
Abstract
The first partial boundary data complex geometrical optics based methods for
electrical impedance tomography in three dimensions are developed, and tested,
on simulated and experimental data. The methods provide good localization of
targets for both absolute and time-difference imaging, when large portions of
the domain are inaccessible for measurement. As most medical applications of
electrical impedance tomography are limited to partial boundary data, the
development of partial boundary algorithms is highly desirable. While iterative
schemes have been used traditionally, their high computational cost makes them
cost-prohibitive for applications that need fast imaging. The proposed
algorithms require no iteration and provide informative absolute or
time-difference images exceptionally quickly in under 2 seconds.
Reconstructions are compared to reference reconstructions from standard linear
difference imaging (30 seconds) and total variation regularized absolute
imaging (several minutes) The algorithms perform well under high levels of
noise and incorrect domain modeling.