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Imaging by Modification: Numerical Reconstruction of Local Conductivities from Corresponding Power Density Measurements

Abstract:
We discuss the reconstruction of the impedance from the local power density. This study is motivated by a new imaging principle which allows us to recover interior measurements of the energy density by a noninvasive method. We discuss the theoretical feasibility in two dimensions, and propose numerical algorithms to recover the conductivity in two and three dimensions. The efficiency of this approach is documented by several numerical simulations.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1137/080723521

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Fehrenbach, J More by this author
de Gournay, F More by this author
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Grant:
(AN-06-Blan-0089)
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM JOURNAL ON IMAGING SCIENCES Journal website
Volume:
2
Issue:
4
Pages:
1003-1030
Publication date:
2009
DOI:
EISSN:
1936-4954
ISSN:
1936-4954
URN:
uuid:3eae0100-79ef-4176-a632-543365df5d80
Source identifiers:
60509
Local pid:
pubs:60509

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