A non-iterative method for the electrical impedance tomography based on joint sparse recovery

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The purpose of this paper is to propose a non-iterative method for the inverse conductivity problem of recovering multiple small anomalies from the boundary measurements. When small anomalies are buried in a conducting object, the electric potential values inside the object can be expressed by integrals of densities with a common sparse support on the location of anomalies. Based on this integral expression, we formulate the reconstruction problem of small anomalies as a joint sparse recovery and present an efficient non-iterative recovery algorithm of small anomalies. Furthermore, we also provide a slightly modified algorithm to reconstruct an extended anomaly. We validate the effectiveness of the proposed algorithm over the linearized method and the multiple signal classification algorithm by numerical simulations.
Publisher
IOP PUBLISHING LTD
Issue Date
2015-07
Language
English
Article Type
Article
Citation

INVERSE PROBLEMS, v.31, no.7

ISSN
0266-5611
DOI
10.1088/0266-5611/31/7/075002
URI
http://hdl.handle.net/10203/199511
Appears in Collection
BiS-Journal Papers(저널논문)MA-Journal Papers(저널논문)
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