6 papers
Continuity of the linearized forward map of electrical impedance tomography from square-integrable perturbations to Hilbert-Schmidt operators
Joanna Bisch, Markus Hirvensalo, Nuutti Hyvönen
This work considers the Fréchet derivative of the idealized forward map of two-dimensional electrical impedance tomography, i.e., the linear operator that maps a perturbation of th…
Edge-promoting adaptive Bayesian experimental design for X-ray imaging
Tapio Helin, Nuutti Hyvönen, Juha-Pekka Puska
This work considers sequential edge-promoting Bayesian experimental design for (discretized) linear inverse problems, exemplified by X-ray tomography. The process of computing a to…
Inverse heat source problem and experimental design for determining iron loss distribution
Antti Hannukainen, Nuutti Hyvönen, Lauri Perkkiö
Iron loss determination in the magnetic core of an electrical machine, such as a motor or a transformer, is formulated as an inverse heat source problem. The sensor positions insid…
Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography
Henrik Garde, Nuutti Hyvönen
This paper introduces a constructive method for approximating relative continuum measurements in two-dimensional electrical impedance tomography based on data originating from eith…
Optimal depth-dependent distinguishability bounds for electrical impedance tomography in arbitrary dimension
Henrik Garde, Nuutti Hyvönen
The inverse problem of electrical impedance tomography is severely ill-posed. In particular, the resolution of images produced by impedance tomography deteriorates as the distance…
On regularity of the logarithmic forward map of electrical impedance tomography
Henrik Garde, Nuutti Hyvönen, Topi Kuutela
This work considers properties of the logarithm of the Neumann-to-Dirichlet boundary map for the conductivity equation in a Lipschitz domain. It is shown that the mapping from the…