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An adjoint field ap...
An adjoint field approach to Fisher information-based sensitivity analysis in electrical impedance tomography
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- Nordebo, Sven (author)
- Linnéuniversitetet,Lund University,Lunds universitet,Institutionen för elektro- och informationsteknik,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Electrical and Information Technology,Departments at LTH,Faculty of Engineering, LTH,Institutionen för datavetenskap, fysik och matematik, DFM
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- Bayford, R.H. (author)
- Middlesex University
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Bengtsson, B.A. (author)
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- Fhager, Andreas, 1976 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Gustafsson, Mats (author)
- Lund University,Lunds universitet,Institutionen för elektro- och informationsteknik,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Electrical and Information Technology,Departments at LTH,Faculty of Engineering, LTH
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- Hashemzadeh, P. (author)
- Middlesex University
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- Nilsson, Börje (author)
- Linnéuniversitetet,Institutionen för datavetenskap, fysik och matematik, DFM
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- Rylander, Thomas, 1972 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Sjödén, Therese (author)
- Linnéuniversitetet,Institutionen för datavetenskap, fysik och matematik, DFM
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(creator_code:org_t)
- 2010-11-02
- 2010
- English.
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In: Inverse Problems. - : IOP Publishing. - 1361-6420 .- 0266-5611. ; 26:12
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Abstract
Subject headings
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- An adjoint field approach is used to formulate a general numerical framework for Fisher information-based sensitivity analysis in electrical impedance tomography. General expressions are given for the gradients used in standard least-squares optimization, i.e. the Jacobian related to the forward problem, and it is shown that these gradient expressions are compatible with commonly used electrode models such as the shunt model and the complete electrode model. By using the adjoint field formulations together with a variational analysis, it is also shown how the computation of the Fisher information can be integrated with the gradient calculations used for optimization. It is furthermore described how the Fisher information analysis and the related sensitivity map can be used in a preconditioning strategy to obtain a well-balanced parameter sensitivity and improved performance for gradient-based quasi-Newton optimization algorithms in electrical impedance tomography. Numerical simulations as well as reconstructions based on experimental data are used to illustrate the sensitivity analysis and the performance of the improved inversion algorithm in a four-electrode measurement set-up.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)
Keyword
- shape
- electrode
- reconstruction
- optimization
- Waves and Signals
Publication and Content Type
- art (subject category)
- ref (subject category)
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- By the author/editor
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Nordebo, Sven
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Bayford, R.H.
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Bengtsson, B.A.
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Fhager, Andreas, ...
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Gustafsson, Mats
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Hashemzadeh, P.
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show more...
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Nilsson, Börje
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Rylander, Thomas ...
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Sjödén, Therese
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show less...
- About the subject
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- ENGINEERING AND TECHNOLOGY
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ENGINEERING AND ...
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and Electrical Engin ...
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and Signal Processin ...
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- ENGINEERING AND TECHNOLOGY
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ENGINEERING AND ...
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and Electrical Engin ...
- Articles in the publication
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Inverse Problems
- By the university
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Chalmers University of Technology
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Lund University
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Linnaeus University