We kindly invite you to the talk "A realistic electrode model in electrical impedance tomography" by Noemi Naujoks. Monday, Sep. 27th, 10:00am Vienna Time.
Contact to get an invite link.
Electrical impedance tomography (EIT) is a non-invasive imaging technique based on the reconstruction of electrical conductivities in the human body. For this purpose, various current patterns are injected into the body via electrodes and the resulting voltages are measured. From a mathematical point of view, the reconstruction of conductivity using these measured data provides an ill-posed, non-linear inverse problem. The task is to include the use of electrodes into the mathematical model. The gap model describes the simplest type of electrode modeling by assuming that the current, injected through a specific electrode, has a uniform strength on the entire area of the electrode. However, in reality, the distribution of a current flow along an electrode is unknown. Furthermore, electrodes are usually built from a highly conductive material, which we consider a perfect conductor. Hence the potential along each electrode is assumed to be constant. The shunt model, which forms a more realistic approach considering these properties, is investigated in this work. To perform the reconstruction of conductivity using this model, an inexakt Newton-type method is applied. The aim is to implement the theoretical findings and investigate whether the realistic electrode modeling can achieve a positive effect in reconstruction. A comparison of the numerical results of the two models indicates that the shunt model is more accurate at reconstructing images than the gap model.