Approximation of full-boundary data from partial-boundary electrode measurements
For practitioners of electrical impedance tomography, this method enhances reconstruction quality when only partial-boundary measurements are available, though it is an incremental improvement over existing approaches.
The study proposes a method to approximate full-boundary data from partial-boundary electrode measurements in electrical impedance tomography, improving reconstruction quality of continuum model based algorithms, demonstrated with a D-bar method on noisy simulated and real data.
Measurements on a subset of the boundary are common in electrical impedance tomography, especially any electrode model can be interpreted as a partial boundary problem. The information obtained is different to full-boundary measurements as modeled by the ideal continuum model. In this study we discuss an approach to approximate full-boundary data from partial-boundary measurements that is based on the knowledge of the involved projections. The approximate full-boundary data can then be obtained as the solution of a suitable optimization problem on the coefficients of the Neumann-to-Dirichlet map. By this procedure we are able to improve the reconstruction quality of continuum model based algorithms, in particular we present the effectiveness with a D-bar method. Reconstructions are presented for noisy simulated and real measurement data.