5 papers
Detection of time-varying heat sources using an analytic forward model
Janne P. Tamminen
We present a simple, analytic point source model for both static and time-varying point-like heat sources and the resulting temperature profile that solves the heat equation in dim…
Enhancing D-bar reconstructions for electrical impedance tomography with conformal maps
Nuutti Hyvönen, Lassi Päivärinta, Janne P. Tamminen
We present a few ways of using conformal maps in the reconstruction of two-dimensional conductivities in electrical impedance tomography. First, by utilizing the Riemann mapping th…
The D-bar Method for Diffuse Optical Tomography: a computational study
Janne P. Tamminen, Tanja Tarvainen, Samuli Siltanen
The D-bar method at negative energy is numerically implemented. Using the method we are able to numerically reconstruct potentials and investigate exceptional points at negative en…
Positive-energy D-bar method for acoustic tomography: a computational study
Maarten de Hoop, Matti Lassas, Matteo Santacesaria +2
A new computational method for reconstructing a potential from the Dirichlet-to-Neumann map at positive energy is developed. The method is based on D-bar techniques and it works in…
Reconstructing conductivities with boundary corrected D-bar method
Samuli Siltanen, Janne P. Tamminen
The aim of electrical impedance tomography is to form an image of the conductivity distribution inside an unknown body using electric boundary measurements. The computation of the…