In this talk we present a new iterative reconstruction algorithm that allows the recovery of a piecewise constant conductivity on an unknown triangular partition. This is formulated as a minimization problem for an appropriate cost functional, which is solved using some shape optimization techniques, such as the shape derivative of the functional. We will discuss numerical test cases from simulated data to show the reliability of the method as well as related theoretical issues.

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) .

Authors:

Matteo Santacesaria (University of Helsinki)

Keywords:

image reconstruction, image segmentation, inverse problems, partial differential equation models, shape optimization