Generalized linearization techniques and smoothened complete electrode modelMS20

The forward problem of electrical impedance tomography is often linearized with respect to the conductivity and the resulting linear inverse problem is regarded as a subproblem in an iterative algorithm or as a reconstruction method as such. We introduce and numerically test a novel, accurate linearization technique based on the logarithm of the Neumann-to-Dirichlet operator. A smoothened contact conductance model is also proposed for electrode measurements, leading to improved regularity for the complete electrode model.

This presentation is part of Minisymposium “MS20 - Advances in Reconstruction Methods for Electrical Impedance Tomography (3 parts)
organized by: Melody Alsaker (Gonzaga University) , Samuli Siltanen (University of Helsinki) .

Nuutti Hyvönen (Aalto University)
bayesian methods, image reconstruction, inverse problems, nonlinear optimization, partial differential equation models