Abstract Electrical Impedance Tomography (EIT) reconstructs the conductivity distribution of a domain from the electrical boundary conditions. This is an ill-posed inverse problem; its solution is very unstable. Total Variation… Click to show full abstract
Abstract Electrical Impedance Tomography (EIT) reconstructs the conductivity distribution of a domain from the electrical boundary conditions. This is an ill-posed inverse problem; its solution is very unstable. Total Variation (TV) regularization is one of the common techniques employed to stabilize the reconstructions. However, TV regularization is known to induce staircase effects. These effects are not realistic in clinical applications. To reduce such artifacts, we introduced higher order generalized TV, Total Generalized Variation (TGV) regularization. Simulations showed that reconstruction with TGV regularization produced less distorted images when the conductivity distribution in the domain is not blockwise constant.
               
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