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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.

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Volltext §
DOI: 10.5445/IR/1000054135
Coverbild
Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Hochschulschrift
Jahr 2016
Sprache Englisch
Identifikator urn:nbn:de:swb:90-541356
KITopen-ID: 1000054135
Verlag KIT, 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
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
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