2-6 September 2019
Institut de Mathématiques de Bourgogne
Europe/Paris timezone

Electrical Impedance Tomography and the Novikov-Veselov equation

5 Sep 2019, 11:00
45m
Amphi Paris ()

Amphi Paris

Speaker

Samuli Siltanen (University of Helsinki)

Description

The D-bar method, introduced by Beals and Coifman in the 1980’s, provides a solution method for Calderón’s inverse conductivity problem in dimension two, as was shown by Nachman in 1996. This presentation shows how Nachman’s proof can be developed further to yield the D-bar method, a practical imaging algorithm for Electrical Impedance Tomography (EIT). Furthermore, demonstrated is how machine learning can be combined with the D-bar method for the diagnosis of stroke. Finally, the nonlinear Novikov-Veselov equation can be solved using the inverse scattering method and the same nonlinear Fourier transform than the one used in EIT.

Primary author

Samuli Siltanen (University of Helsinki)

Presentation Materials