Inversiomallinnuksen ja kuvantamisen huippuyksikkö/2
Päärahoittaja
Rahoittajan antama koodi/diaarinumero: 336794
Päärahoittajan myöntämä tuki (€)
- 216 373,00
Rahoitusohjelma
Hankkeen aikataulu
Hankkeen aloituspäivämäärä: 01.05.2020
Hankkeen päättymispäivämäärä: 31.12.2022
Tiivistelmä
Inverse modelling and imaging are essential for visualizing objects and extracting hidden information from limited and indirect measurements. 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 proposed Centre of Excellence (CoE) will study high-impact open problems in a number of interconnected research areas. The development of mathematical imaging methods and new measurement techniques are closely tied together. Therefore, interdisciplinary collaboration is crucial.
The methodological and theoretical focus areas are nonlinear partial differential equations, geometry, and uncertainty quantification. Advances in these have several applications in the fields of advanced tomography and inverse problems in geophysics and atmospheric sciences. These include weather and climate prediction, the exploration of water reservoirs, forests, and mineral resources (also in space), as well as medical and seismic imaging. In a feedback cycle, the novel techniques and innovations will also open new avenues for pure mathematical research. The results will be actively disseminated to the general public, industry, and decision makers.
The current CoE on Inverse Problems Research has been able to bridge the gap between theory and practice in several areas of mathematics and application. The proposed CoE is strongly reformed with several new team leaders. It has a refined focus on working in new and highly significant research areas to achieve breakthroughs. The CoE is a unit consisting of applied mathematicians and mathematically oriented scientists with a history of active collaboration. It includes several young principal investigators, covering the full path from theory to applications and commercialization. All research teams of the CoE focus on the strategic research areas of the host universities. The diverse and young personnel of the CoE with their extensive international collaboration networks ensures the continuing status of the CoE as the leading international unit in inversion methods and enables innovation of completely new imaging modalities.
The proposed Centre of Excellence (CoE) will study high-impact open problems in a number of interconnected research areas. The development of mathematical imaging methods and new measurement techniques are closely tied together. Therefore, interdisciplinary collaboration is crucial.
The methodological and theoretical focus areas are nonlinear partial differential equations, geometry, and uncertainty quantification. Advances in these have several applications in the fields of advanced tomography and inverse problems in geophysics and atmospheric sciences. These include weather and climate prediction, the exploration of water reservoirs, forests, and mineral resources (also in space), as well as medical and seismic imaging. In a feedback cycle, the novel techniques and innovations will also open new avenues for pure mathematical research. The results will be actively disseminated to the general public, industry, and decision makers.
The current CoE on Inverse Problems Research has been able to bridge the gap between theory and practice in several areas of mathematics and application. The proposed CoE is strongly reformed with several new team leaders. It has a refined focus on working in new and highly significant research areas to achieve breakthroughs. The CoE is a unit consisting of applied mathematicians and mathematically oriented scientists with a history of active collaboration. It includes several young principal investigators, covering the full path from theory to applications and commercialization. All research teams of the CoE focus on the strategic research areas of the host universities. The diverse and young personnel of the CoE with their extensive international collaboration networks ensures the continuing status of the CoE as the leading international unit in inversion methods and enables innovation of completely new imaging modalities.
