M12. Electrical Impedance Tomography: Theory and Applications
Electrical impedance tomography (EIT) is an imaging modality that consists in the determination of the electrical conductivity distribution inside a body from current and voltage measurements on its boundary. Applications include medical imaging, nondestructive testing and geophysical prospecting. Its mathematical formulation was proposed by A.P. Calderon in 1980 and it has triggered a huge amount of research since then. On the theoretical side, the main issue has been to prove uniqueness of the related inverse problem, namely, the injectivity of the measurement or forward map. Concerning applications, EIT faces major numerical hurdles, since the problem is severely ill-posed. In order to mitigate this instability, strategies ranging from regularization methods to compressed sensing and machine learning have been employed.
In this minisymposium, we are gathering experts of EIT and of the Calderon's problem to share recent theoretical and numerical/applied insights.
Organizers:
Giovanni S. Alberti, University of Genoa, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Matteo Santacesaria, University of Genoa, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Invited Speakers:
Elena Beretta, NYU Abu Dhabi, Politecnico di Milano, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Lipschitz stable determination of polygonal and polyhedral conductivity inclusions from boundary data
Valentina Candiani, University of Genoa, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Machine learning approach for stroke detection in electrical impedance tomography
Pedro Caro, Basque Center for Applied Mathematics, Spain
The Calderón problem with Lipschitz conductivities
Bastian Harrach, Goethe University Frankfurt, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Global convergence and stable invertibility for a Robin transmission problem with finitely many measurements
Ivan Pombo, University of Aveiro, Portugal, This email address is being protected from spambots. You need JavaScript enabled to view it.
Electrical Impedance Tomography: the case of complex conductivity with a jump
Luca Rondi, University of Pavia, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Interior decay of solutions to elliptic equations
Silvia Sciutto, University of Genova, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
Generative models for Electrical Impedance Tomography
