Reconstructing a convex inclusion with one measurement of electrode data in the inverse conductivity problemMS54

In 2000, Ikehata introduced the enclosure method for Electrical Impedance Tomography which aims at finding information of anomalies inside an unknown body. In idealised setting, it was shown that a convex hull that contains all the anomalies can be recovered from the Dirichlet-to-Neumann map. In this talk, I will present a modified version of the enclosure method to reconstruct the convex hull from one measurement of the electrode data in more practical setting.

This presentation is part of Minisymposium “MS54 - Hybrid Approaches that Combine Deterministic and Statistical Regularization for Applied Inverse Problems (4 parts)
organized by: Cristiana Sebu (University of Malta) , Taufiquar Khan (Clemson University) .

Minh Mach (University of Helsinki)
Bastian Harrach (Goethe-Universität Frankfurt am Main)
Masaru Ikehata (Hiroshima University)
Vesa Kaarnioja (University of Helsinki)