A Set Optimization Technique for Domain Reconstruction from Single-Measurement Electrical Impedance Tomography Data

Harrach, Bastian; Rieger, Janosch

doi:10.1007/978-3-030-04161-8_4

Bastian Harrach⁹ &
Janosch Rieger¹⁰

Part of the book series: MATRIX Book Series ((MXBS,volume 2))

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Abstract

We propose and test a numerical method for the computation of the convex source support from single-measurement electrical impedance tomography data. Our technique is based on the observation that the convex source support is the unique minimum of an optimization problem in the space of all convex and compact subsets of the imaged body.

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Authors and Affiliations

Goethe University Frankfurt, Institute for Mathematics, Frankfurt am Main, Germany
Bastian Harrach
Monash University, School of Mathematical Sciences, Clayton, VIC, Australia
Janosch Rieger

Authors

Bastian Harrach
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Janosch Rieger
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Correspondence to Janosch Rieger .

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Editors and Affiliations

The University of Melbourne, Melbourne, Australia
Jan de Gier
University of Western Australia, Perth, Australia
Cheryl E. Praeger
UCLA, Los Angeles, CA, USA
Terence Tao

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Harrach, B., Rieger, J. (2019). A Set Optimization Technique for Domain Reconstruction from Single-Measurement Electrical Impedance Tomography Data. In: de Gier, J., Praeger, C., Tao, T. (eds) 2017 MATRIX Annals. MATRIX Book Series, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-030-04161-8_4

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DOI: https://doi.org/10.1007/978-3-030-04161-8_4
Published: 14 March 2019
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-04160-1
Online ISBN: 978-3-030-04161-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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