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Approximation of full-boundary data from partial-boundary electrode measurements

Hauptmann, A; (2017) Approximation of full-boundary data from partial-boundary electrode measurements. Inverse Problems , 33 (12) , Article 125017. 10.1088/1361-6420/aa8410. Green open access

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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 > Provost and Vice Provost Offices
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: http://discovery.ucl.ac.uk/id/eprint/10045242
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