Inverse problems research concentrates on the mathematical theory and practical implementation of indirect measurements. Applications are found in numerous research fields involving scientific, medical or industrial imaging; familiar examples include X-ray computed tomography and ultrasound imaging. Inverse problems have a rich mathematical theory employing modern methods in partial differential equations, harmonic analysis, and differential geometry.
The inverse problems research group focuses on fundamental theoretical aspects of inverse problems such as the Calderón problem in electrical imaging and travel time tomography in seismic imaging. The group is part of the Finnish Centre of Excellence in Inverse Modelling and Imaging, is involved in activities of the Finnish Inverse Problems Society, and is supported by the European Research Council (ERC Starting/Consolidator Grants in 2012-2023).
