Hauptmann, A;
(2017)
Approximation of full-boundary data from partial-boundary electrode measurements.
Inverse Problems
, 33
(12)
, Article 125017. 10.1088/1361-6420/aa8410.
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Abstract
Measurements on a subset of the boundary are common in electrical impedance tomography, especially because any electrode model can be interpreted as a partial-boundary problem. The information obtained is different to full-boundary measurements as modelled 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 to 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.
| Type: | Article |
|---|---|
| Title: | Approximation of full-boundary data from partial-boundary electrode measurements |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1361-6420/aa8410 |
| Publisher version: | https://doi.org/10.1088/1361-6420/aa8410 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | electrical impedance tomography, partial-boundary data, Neumann-to-Dirichlet map, complete electrode model, D-bar methods |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10045242 |
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