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Data fusion for electromagnetic and electrical resistive tomography based on maximum likelihood
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. Lund University.ORCID iD: 0000-0002-7018-6248
Lund University.
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
National Research Council, Italy.
2011 (English)In: International Journal of Geophysics, ISSN 1687-885X, E-ISSN 1687-8868, Vol. 2011, article id 617089Article in journal (Refereed) Published
Abstract [en]

This paper presents a maximum likelihood based approach to data fusion for electromagnetic (EM) and electrical resistive (ER) tomography. The statistical maximum likelihood criterion is closely linked to the additive Fisher information measure, and it facilitates an appropriate weighting of the measurement data which can be useful with multiphysics inverse problems. The Fisher information is particularly useful for inverse problems which can be linearized similar to the Born approximation. In this paper, a proper scalar product is defined for the measurements and a truncated Singular Value Decomposition (SVD) based algorithm is devised which combines the measurement data of the two imaging modalities in a way that is optimal in the sense of maximum likelihood. As a multiphysics problem formulation with applications in geophysics, the problem of tunnel detection based on EM and ER tomography is studied in this paper. To illustrate the connection between the Green's functions, the gradients and the Fisher information, two simple and generic forward models are described in detail regarding two-dimensional EM and ER tomography, respectively.

Place, publisher, year, edition, pages
2011. Vol. 2011, article id 617089
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Physics, Waves and Signals
Identifiers
URN: urn:nbn:se:lnu:diva-16729DOI: 10.1155/2011/617089Scopus ID: 2-s2.0-84871880554OAI: oai:DiVA.org:lnu-16729DiVA, id: diva2:476299
Available from: 2012-01-11 Created: 2012-01-11 Last updated: 2017-12-08Bibliographically approved

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Nordebo, SvenSjödén, Therese

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf