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A statistical approach to the inclusion of electrode contact impedance uncertainty in electrical tomography reconstruction

Robert G. Aykroyd

Abstract



Electrical tomography is a visualisation tool used for industrial process monitoring. The complete electrode model relates an unknown conductivity field with the measurements but also involves unknown electrode contact impedances. Here, a real data analysis shows that the contact impedances vary spatially and with time. Then, the main reconstruction process is repeated using contact impedance values drawn at random from a fitted contact impedance distribution, and a model average calculated as the final reconstruction. This additional source of variation can then be appropriately accounted for thereby preventing overly optimistic assumption in subsequent decision making.

Keywords


Bayesian model averaging, electrical impedance tomography, finite-element method, temporal variability, uncertainty quantification.

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