Department of Mathematics


Electrical impedance tomography

An EIT measurement system developed by the research consortium.
An EIT measurement system developed by the research consortium.

Electrical impedance tomography (EIT) is a diffuse tomographic modality in which electric currents are injected into a volume conductor and the resulting potentials on the surface are measured. Based on this information, the internal conductivity (resistance) of the object can be reconstructed. Conductivity as such, is seldom interesting, but it often correlates with other quantities such as blood circulation, concentration of chemical substances and air mixed in fluids.

cp-fast-time-varying-phenomena
Imaging of fast time-varying phenomena in a pipeline flow.

EIT is used for example in biomedical, industrial and geophysical applications. Our main interest has been in the Bayesian modelling and inference aspects of EIT. A central topic is the modelling of uncertainties that often include boundary data. We are particularly well known for imaging of fast phenomena with which conventional imaging methods may fail completely. The related approaches often involve modelling of several coupled stochastic partial differential equations.

Currently, we are concentrating on further modelling of the missing boundary data and the Bayesian model selection problem, as well as several related industrial an

Researchers at The University of Auckland

 

Other collaborators

  • Professor Marko Vauhkonen
    University of Eastern Finland, Department of Physics and Mathematics.
  • Doctor Ville Kolehmainen
    University of Eastern Finland, Department of Physics and Mathematics.
  • Aku Seppanen
    University of Eastern Finland, Department of Physics and Mathematics.
  • Doctor Stefan Finsterle
    Lawrence Berkeley National Laboratory, Earth Sciences Division
  • Professor Samuli Siltanen
    University of Helsinki, Department of Mathematics