Inverse Problems

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.
Matematiikan ja tilastotieteen laitos
Inverse problems, differential geometry, and modelling.

Table of contents

Research group type
Research group
Core fields of research
Basic natural phenomena and mathematical thinking
Research areas
Geometry and Analysis
Faculty
Faculty of Mathematics and Science
Department
Department of Mathematics and Statistics

Research group description

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 , 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).

Research group