Locked History Attachments

: FrontPage/ResearchAreasNew

Research areas

The inverse problems research at the Department of Applied Physics has strong ties with the Finnish Center of Excellence in Inverse Problems. The associated research consortium has been the leading group, among other topics, in the modelling of model uncertainties and especially the Bayesian approximation error approach, which provides computationally efficient implementations of inversion algorithms. In addition, the consortium is well known for the theory and applications of non-stationary inverse problems, that is, problems in which the unknown changes rapidly in time. The applications include various biomedical, industrial, geophysical and environmental problems.

Biomedical inverse problems

We develop computational methods and modelling for inverse problems in the field of medical imaging and biomedical research. The research topics include, for example, developing novel tomographic techniques and advancing computational methods for excisting modalities.

Optical Imaging

Optical Imaging
Imaging biological tissue utilising
visible or near-infrared light.

Multimodality medical imaging

Multimodality Medical Imaging
Development of joint inversion
methods for multimodality medical imaging.

Biomedical Electrical Impedance Tomography

Biomedical EIT
Development of EIT
for classification of stroke.

Ultrasound tomography and material characterization

Ultrasound tomography and material characterization
Tomographic imaging based on
ultrasonic measurements.

Ultrasound therapy

Ultrasound therapy
Using the focused application of
heat to treat tumours, and other
biomedical applications.

Industrial inverse problems

Industrial applications include various different opportunities for utilizing the advanced computational inverse problems techniques. The most prominent area of research includes development of diffuse tomographic imaging for industrial process and non-destructive testing. These imaging modalities can be used for example in monitoring of pipe flows or testing of concrete structures or designing and optimizing of process vessels.

Industrial Process Tomography

Industrial Process Tomography
Imaging processes for example
in chemical, pharmaceutical, oil, gas
and mining industries.

Non-destructive Testing

Non-destructive Testing
Development of tools for non-
destructive testing and structural
health monitoring.

Measurement System Development

Measurement System Development
Designing and building of different types of diffuse tomographic imaging devices.

Thermal Tomography

Thermal Tomography
Thermal diffusion tomography
for material characterization.

Inverse problems in geophysics and atmospheric sciences

Our research on environmental applications covers geophysical and atmospheric inverse problems, and estimation of forest resources. We aim at solving grand challenges related to natural resources and climate change.

Geophysical Imaging

Geophysical inverse problems
Computational modelling of forward
and inverse problems related to
geophysics and hydrology.

Atmospheric inverse problems

Atmospheric inverse problems
Data analysis in aerosol physics
and modeling of climate change.

Estimation of Forest Resources

Estimation of Forest Resources
Computational methods for remote
sensing of forests.

Theoretical studies on inverse problems

The research has several foci: computational models for observations, typically partial differential equations, modelling the underlying unknowns and uncertainties, and computing estimates for the inverse (parameter estimation) problems.

Bayesian Approximation Error Approach,

Bayesian Approximation Error Approach
Efficient computational approaches
to recover from model uncertainties.

Uncertainty Quantification

Uncertainty Quantification
Computation of feasible point
and realistic error estimates.

Computational Wave Propagation

Computational Wave Propagation
High-order numerical methods for
complex wave propagation problems.