Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT
It provides a novel method for reconstructing piecewise constant conductivity in EIT, which is important for medical and industrial imaging.
The paper develops a shape optimization algorithm for EIT to reconstruct piecewise constant conductivity on a polygonal partition, demonstrating robustness and accuracy in 2D simulations.
In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal partition from boundary measurements. The key tool is to use a distributed shape derivative of a suitable cost functional with respect to movements of the partition. Numerical simulations showing the robustness and accuracy of the method are presented for simulated test cases in two dimensions.