Recent Progress on the Factorization Method for Electrical Impedance Tomography
Please always quote using this URN: urn:nbn:de:bvb:20-opus-96229
- The Factorization Method is a noniterative method to detect the shape and position of conductivity anomalies inside an object. The method was introduced by Kirsch for inverse scattering problems and extended to electrical impedance tomography (EIT) by Brühl and Hanke. Since these pioneering works, substantial progress has been made on the theoretical foundations of the method. The necessary assumptions have been weakened, and the proofs have been considerably simplified. In this work, we aim to summarize this progress and present aThe Factorization Method is a noniterative method to detect the shape and position of conductivity anomalies inside an object. The method was introduced by Kirsch for inverse scattering problems and extended to electrical impedance tomography (EIT) by Brühl and Hanke. Since these pioneering works, substantial progress has been made on the theoretical foundations of the method. The necessary assumptions have been weakened, and the proofs have been considerably simplified. In this work, we aim to summarize this progress and present a state-of-the-art formulation of the Factorization Method for EIT with continuous data. In particular, we formulate the method for general piecewise analytic conductivities and give short and self-contained proofs.…
Author: | Bastian Harrach |
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URN: | urn:nbn:de:bvb:20-opus-96229 |
Document Type: | Journal article |
Faculties: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
Language: | English |
Parent Title (English): | Computational and Mathematical Methods in Medicine |
Year of Completion: | 2013 |
Source: | In: Computational and Mathematical Methods in Medicine (2013), doi:10.1155/2013/425184 |
DOI: | https://doi.org/10.1155/2013/425184 |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Tag: | Mathematik |
Release Date: | 2014/04/23 |
Collections: | Open-Access-Publikationsfonds / Förderzeitraum 2013 |
Licence (German): | CC BY: Creative-Commons-Lizenz: Namensnennung |