Journal article
Iterative Reconstruction Methods for Hybrid Inverse Problems in Impedance Tomography
For a general formulation of hybrid inverse problems in impedance tomography the Picard and Newton iterative schemes are adapted and four iterative reconstruction algorithms are developed. The general problem formulation includes several existing hybrid imaging modalities such as current density impedance imaging, magnetic resonance electrical impedance tomography, and ultrasound modulated electrical impedance tomography, and the unified approach to the reconstruction problem encompasses several algorithms suggested in the literature.
The four proposed algorithms are implemented numerically in two dimensions and the properties of the algorithms and the implementations are investigated, both theoretically and on simulated data obtained from a numerical phantom. The numerical results show similarities and differences between the proposed algorithms, and they justify that the choice of algorithm should be based on a theoretical analysis of the underlying inverse problem.
Language: | English |
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Publisher: | Springer US |
Year: | 2014 |
Pages: | 1-27 |
Journal subtitle: | Continuing Subsurface Sensing Technologies and Applications |
ISSN: | 15572072 , 15572064 and 15660184 |
Types: | Journal article |
DOI: | 10.1007/s11220-014-0096-6 |
ORCIDs: | Knudsen, Kim |
Current density impedance imaging Electrical Engineering Engineering Hybrid inverse problems Imaging / Radiology Impedance tomography Iterative reconstruction methods Magnetic resonance electrical impedance tomography Microwaves, RF and Optical Engineering Ultrasound modulated electrical impedance tomography