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Optimal finite element modelling and efficient reconstruction in non-linear 3D electrical resistance tomography

Optimal finite element modelling and efficient reconstruction in non-linear 3D electrical resistance tomography
Optimal finite element modelling and efficient reconstruction in non-linear 3D electrical resistance tomography
Electrical Impedance Tomography can provide images with well-defined characteristics using a fully non-linear reconstruction process when appropriate constraints are imposed on the solution to allow the ill-posed inverse problem to be solved. Using appropriate finite element discretizations for forward solution and inverse problem offers additional advantages in the image reconstruction process, such as (a) inclusion of prior knowledge, (b) generic model templating to adapt to, for example, individual head shapes, and (c) obtaining accurate results without unnecessary computational overhead. We have developed an efficient 3D non-linear reconstruction algorithm based on a regularized inverse conjugate gradient solver which incorporates (a) local image smoothness constraints, and (b) a number of optimisations which reduce the computing power required to obtain an accurate solution. We show results from applying this to various problems which arise in medical resistivity reconstruction given only surface potential measurements and demonstrate the importance of the FE discretization. Keywords: 3D non-linear electrical impedance tomography, FE template modelling, optimal finite element meshes, 3D visualization, FE discretization.
3D non-linear electrical impedance tomography, fe template modelling, optimal finite element meshes, 3D visualization, fe discretization
41-45
Molinari, M.
47944a31-9242-4dcf-a527-40309e104fbf
Cox, S.J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Blott, B.H.
3d85df1b-d990-437e-992b-f2ec51b03067
Daniell, G.J.
82c59eea-5002-4889-8823-2c6e5b3288d3
Molinari, M.
47944a31-9242-4dcf-a527-40309e104fbf
Cox, S.J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Blott, B.H.
3d85df1b-d990-437e-992b-f2ec51b03067
Daniell, G.J.
82c59eea-5002-4889-8823-2c6e5b3288d3

Molinari, M., Cox, S.J., Blott, B.H. and Daniell, G.J. (2001) Optimal finite element modelling and efficient reconstruction in non-linear 3D electrical resistance tomography. Proceedings of the 3rd EPSRC Engineering Network Meeting on Biomedical Applications of EIT, London, UK. 01 Jan 2001. pp. 41-45 .

Record type: Conference or Workshop Item (Paper)

Abstract

Electrical Impedance Tomography can provide images with well-defined characteristics using a fully non-linear reconstruction process when appropriate constraints are imposed on the solution to allow the ill-posed inverse problem to be solved. Using appropriate finite element discretizations for forward solution and inverse problem offers additional advantages in the image reconstruction process, such as (a) inclusion of prior knowledge, (b) generic model templating to adapt to, for example, individual head shapes, and (c) obtaining accurate results without unnecessary computational overhead. We have developed an efficient 3D non-linear reconstruction algorithm based on a regularized inverse conjugate gradient solver which incorporates (a) local image smoothness constraints, and (b) a number of optimisations which reduce the computing power required to obtain an accurate solution. We show results from applying this to various problems which arise in medical resistivity reconstruction given only surface potential measurements and demonstrate the importance of the FE discretization. Keywords: 3D non-linear electrical impedance tomography, FE template modelling, optimal finite element meshes, 3D visualization, FE discretization.

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More information

Published date: April 2001
Additional Information: Conference: 3rd EPSRC Engineering Network Meeting on Biomedical Application on EIT, University College London, 4-6 April 2001 Organisation: EPSRC
Venue - Dates: Proceedings of the 3rd EPSRC Engineering Network Meeting on Biomedical Applications of EIT, London, UK, 2001-01-01 - 2001-01-01
Keywords: 3D non-linear electrical impedance tomography, fe template modelling, optimal finite element meshes, 3D visualization, fe discretization
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 255759
URI: http://eprints.soton.ac.uk/id/eprint/255759
PURE UUID: 8da70367-baac-4e5c-9ef5-e062e171caf0

Catalogue record

Date deposited: 26 Feb 2002
Last modified: 14 Mar 2024 05:34

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Contributors

Author: M. Molinari
Author: S.J. Cox
Author: B.H. Blott
Author: G.J. Daniell

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