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Comparison of algorithms for non-linear inverse 3D electrical tomography reconstruction

Comparison of algorithms for non-linear inverse 3D electrical tomography reconstruction
Comparison of algorithms for non-linear inverse 3D electrical tomography reconstruction
Non-linear electrical impedance tomography reconstruction algorithms usually employ the Newton–Raphson iteration scheme to image the conductivity distribution inside the body. For complex 3D problems, the application of this method is not feasible any more due to the large matrices involved and their high storage requirements. In this paper we demonstrate the suitability of an alternative conjugate gradient reconstruction algorithm for 3D tomographic imaging incorporating adaptive mesh refinement and requiring less storage space than the Newton–Raphson scheme. We compare the reconstruction efficiency of both algorithms for a simple 3D head model. The results show that an increase in speed of about 30% is achievable with the conjugate gradient-based method without loss of accuracy.
efficient non-linear 3D electrical impedance tomography reconstruction, three-dimensional adaptive mesh refinement, conjugate gradient solver
0967-3334
95-104
Molinari, Marc
db124af1-8110-4ac5-823b-cc9bdc896432
Cox, Simon J.
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Blott, Barry H.
fe2ffa1e-8cd2-448f-a172-63285167e05f
Daniell, Geoffrey J.
82c59eea-5002-4889-8823-2c6e5b3288d3
Molinari, Marc
db124af1-8110-4ac5-823b-cc9bdc896432
Cox, Simon J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Blott, Barry H.
fe2ffa1e-8cd2-448f-a172-63285167e05f
Daniell, Geoffrey J.
82c59eea-5002-4889-8823-2c6e5b3288d3

Molinari, Marc, Cox, Simon J., Blott, Barry H. and Daniell, Geoffrey J. (2002) Comparison of algorithms for non-linear inverse 3D electrical tomography reconstruction. Physiological Measurement, 23 (1), 95-104. (doi:10.1088/0967-3334/23/1/309).

Record type: Article

Abstract

Non-linear electrical impedance tomography reconstruction algorithms usually employ the Newton–Raphson iteration scheme to image the conductivity distribution inside the body. For complex 3D problems, the application of this method is not feasible any more due to the large matrices involved and their high storage requirements. In this paper we demonstrate the suitability of an alternative conjugate gradient reconstruction algorithm for 3D tomographic imaging incorporating adaptive mesh refinement and requiring less storage space than the Newton–Raphson scheme. We compare the reconstruction efficiency of both algorithms for a simple 3D head model. The results show that an increase in speed of about 30% is achievable with the conjugate gradient-based method without loss of accuracy.

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Published date: February 2002
Keywords: efficient non-linear 3D electrical impedance tomography reconstruction, three-dimensional adaptive mesh refinement, conjugate gradient solver
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 255997
URI: http://eprints.soton.ac.uk/id/eprint/255997
ISSN: 0967-3334
PURE UUID: 38fcf6e8-ed6f-4afa-ad00-a5f7d57e8758

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Date deposited: 18 Feb 2002
Last modified: 14 Mar 2024 05:37

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Contributors

Author: Marc Molinari
Author: Simon J. Cox
Author: Barry H. Blott
Author: Geoffrey J. Daniell

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