Title: On a problem of Calderon and the mathematics of medical imaging
Speaker: Professor Lassi Paivarinta
Speaker Info: University of Helsinki
Electrical impedance tomography (EIT) is an emerging medical imaging method. Here one feeds electric currents through electrodes and one measures voltages through the same electrodes. The goal is to use this measurement to reconstruct the electric conductivity inside a body. The applications are monitoring heart and lungs of unconscious patients, detecting pulmonary edema and enhancing ECG and EEG.Date: Wednesday, May 24, 2006
The mathematical problem corresponding EIT was first formulated by A. P. Calderon in 1980. In the talk we discus the history of the problem, its connections to scattering theory for the Schroedinger equation and finally give a constructive complete solution in two dimensions. It was found by combining the theory of quasiconformal maps to the Beals-Coifman theory of complex geometric optics. The work is a joint study with K. Astala from Helsinki.