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A model-aware inexact Newton scheme for electrical impedance tomography

Winkler, Robert

Abstract:
This work gives new insights into the EIT model. Firstly, a novel relation between the conductivity and the data is derived, giving quantitative insights about the instability of the inverse problem. Secondly, a reconstruction framework is introduced which estimates unknown model parameters and then solves the problem with a tailored Newton method. Additional problem-specific optimizations are incorporated into the framework. Simulations verify its efficiency for simulated and measured data.


Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Hochschulschrift
Jahr 2016
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000054135
URN: urn:nbn:de:swb:90-541356
KITopen ID: 1000054135
Verlag Karlsruhe
Umfang V, 168 S.
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Angewandte und Numerische Mathematik (IANM)
Prüfungsdaten 20.04.2016
Referent/Betreuer Prof. A. Rieder
Schlagworte Impedance, Tomography, Newton, Electrode, MANTIS
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