Javaherian, A;
Soleimani, M;
Moeller, K;
Movafeghi, A;
Faghihi, R;
(2016)
An accelerated version of alternating direction method of multipliers for TV minimization in EIT.
Applied Mathematical Modelling
, 40
(21-22)
pp. 8985-9000.
10.1016/j.apm.2016.05.052.
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Abstract
Existing total variation (TV) solvers that have been applied in electrical impedance tomography (EIT) smooth the TV function in order to cope with its non-differentiability around the origin, and thus imposes some numerical errors on the solution. Furthermore, these solvers require storage of Hessian, and are thus very impractical for large-scale computations, especially 3D EIT. These shortcomings were addressed by TV solvers that are based on first-order optimization methods. However, the application of these solvers to EIT remains scarce. In this manuscript, we propose an accelerated version of a gradient-based TV solver based on augmented Lagrangian and alternating direction method of multipliers, referred to as TVAL3, and apply it to EIT. The results demonstrate the superiority of the accelerated algorithm over existing TV solvers in EIT with regard to both accuracy and speed.
| Type: | Article |
|---|---|
| Title: | An accelerated version of alternating direction method of multipliers for TV minimization in EIT |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.apm.2016.05.052 |
| Publisher version: | http://doi.org/10.1016/j.apm.2016.05.052 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Electrical impedance tomography, Total variation, Variable splitting, Alternating direction method of multipliers, TVAL3 |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10065435 |
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