Inverse problems constitute an interdisciplinary field of science, concentrating on the mathematical theory and practical interpretation of indirect measurements. Applications are found in virtually every research field involving scientific, medical, or engineering data and mathematical modelling. By using the methods of inverse problems it is possible to bring advances in modern mathematics to a vast number of applied areas.
The current Finnish Centre of Excellence (CoE) in Inverse Problems Research is the world's leading unit in the theory, implementation, and application of inversion methods. The present plan is an application for a second CoE period with a strengthened CoE structure. Examples of problems in the research plan include Electrical Impedance Tomography in medical and industrial imaging, multimodal imaging of asteroids, new-generation radar algorithms, biomass and CO2 footprint estimation, practical invisibility procedures, and probabilistic models in brain imaging.