Advances in D-bar methods for partial boundary data electrical impedance tomography – From continuum to electrode models and back
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Reconstructions of piecewise constant conductivities by the D-bar method for electrical impedance tomography
The importance of the solution of the boundary integral equation for the exponentially growing solutions to the Schrödinger equation arising from the 2-D inverse conductivity problems is demonstrated by a study of reconstructions of simple piecewise constant conductivities on a disk from two methods of approximating the scattering transform in the Dbar method and from Calderón’s linearization m...
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Electrical impedance tomography is a noninvasive imaging technique for recovering the admittivity distribution inside a body from boundary measurements of current and voltage. In practice, impedance tomography suffers from inaccurate modelling of the measurement setting: The exact electrode locations and the shape of the imaged object are not necessarily known precisely. In this work, we tackle...
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Absolute images have important applications in medical Electrical Impedance Tomography (EIT) imaging, but the computations are very sensitive to modeling errors and noise. In this paper the effects of errors in domain shape and electrode placement on absolute images computed with 2-D D-bar reconstruction algorithms are studied. It is demonstrated with experimental tank data from several EIT sys...
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