Lionheart, William R.B. and Polydorides, N. (2003) Adjoint Formulations in Impedance Imaging. In: 3rd World Congress on Industrial Process Tomography, 2nd-5th Sept 2003, Banff, Canada.
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Abstract
Most reconstruction algorithms in electrical impedance tomography (EIT, ERT and ECT) are known to suffer from the computational costs of calculating the Jacobian (also known as sensitivity matrix). In this paper we review and slightly modify the adjoint fields technique already widely used in electromagnetic imaging, diffuse optical and ultrasound tomography, which enables the reconstruction of nonlinear solutions without the explicit calculation of the Jacobian. This has enormous computational advantages in the efficiency of image reconstruction. Here we address the complex isotropic EIT problem.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | EIT, adjoint formulation, inverse problem, ERT |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 45 Integral equations PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 40 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS > 41 Electromagnetism; electron and ion optics |
| Divisions: | Manchester Institute for the Mathematical Sciences |
| Depositing User: | Prof WRB Lionheart |
| Date Deposited: | 11 Apr 2021 07:17 |
| Last Modified: | 11 Apr 2021 07:17 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2808 |
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