Inverse modelling and imaging are essential for visualizing objects and extracting hidden information from limited and indirect measurements, that might be noisy. For example, medical X-ray tomography reveals the 3D structure of a patient from 2D projection images. In environmental monitoring, atmospheric composition, like air pollution and greenhouse gases, are deduced from absorbed and scattered solar light measured by the satellites. In seismic imaging, the travel times of earthquakes are used to see structures in the core of the Earth. The solutions of these three problems use very similar mathematical inversion methods.
The CoE of Inverse Modelling and Imaging is a unit consisting of applied mathematicians and mathematically oriented scientists with a history of active collaboration. The methodological and theoretical focus areas are nonlinear partial differential equations, geometry, and uncertainty quantification.