Detection and characterization of inclusions in impedance tomography [Elektronische Ressource] / von Susanne Schmitt

Description

Detection and Characterizationof Inclusions in ImpedanceTomographyZur Erlangung des akademischen Grades einesDoktors der Naturwissenschaftenvon der Fakult at fur Mathematik desKarlsruher Instituts fur TechnologiegenehmigteDissertationvonDipl. Math. techn. Susanne Schmittaus SchwetzingenTag der mundlic hen Prufung: 22. 12. 2010Referent: Prof. Dr. Andreas KirschKoreferent: PD Dr. Tilo ArensPrefaceThe topic of this thesis are two further developments of the Factorizationmethod for electrical impedance tomography (EIT). In EIT current isapplied to the surface of the investigated subject and the resulting voltageis measured at the surface. From these measurements one tries to recoverinformation about the conductivity inside the subject. The Factorizationmethod for EIT is a noniterative method to detect domains inside theinvestigated subject that exhibit a di erent conductivity than the a prioriknown background medium.We start by giving an introduction to the direct and the inverse problemof EIT in Chapter 1. We show how our mathematical model can be derivedfrom Maxwell’s equations and give an outline of the functional analyticsetting we are dealing with. Afterwards we discuss the direct and theinverse problem of EIT and give a short summary of some reconstructionmethods and in particular the Factorization method.

Sujets

• Mathematics

Informations

• Publié par: karlsruher_institut_fur_technologie
• Publié le: 01 janvier 2010
• Nombre de lectures: 21
• Langue: English
• Poids de l'ouvrage: 4 Mo

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