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Groene Loper 5, Metaforum
5612 AP Eindhoven
Netherlands
We are interested in inverse problems, such as:
Development of new methodologies and algorithms for the representation and analysis of complex imaging data (`big images’) for healthcare applications.
Our methodological approach relies on a broad spectrum of mathematical techniques, such as
• Finsler geometry
• tensor calculus
• Lie group theory
• calculus of variations
• geometric control theory
• semigroup theory for multiresolution
representations
• ordinary and partial differential equations
• deep learning
We are also interested in methodological tangencies with other scientific disciplines, such as theoretical physics, e.g.
• mathematical relativity
Success stories
The group has conducted several feasibility studies establishing proof of concept for clinical applications, such as
• myocardial motion, deformation, and strain can be obtained for myocardial function analysis from tagging magnetic resonance imaging
• the optic radiation can be delineated including the Meyer’s tip for temporal lobe resection therapy planning and risk analysis from diffusion weighted magnetic resonance imaging
• retinal vascular trees can be robustly extracted and analyzed from retinal fundus images
Project examples
1. Lie Group Theory & Differential Geometry for Medical Image Analysis, Remco Duits
2. Riemann-Finsler Geometry for Brain Connectivity and Tractography, Luc Florack & Andrea Fuster
3. Differential Geometry in Complex Medical Imaging & Relativity Theory, Andrea Fuster
4. Roto-Translation Covariant Convolutional Networks for Medical Image Analysis, Erik Bekkers
Person: UHD : Associate Professor
Person: HGL : Professor
Person: UD : Assistant Professor
Research output: Contribution to journal › Article › Academic › peer-review
Research output: Contribution to journal › Article › Academic › peer-review
Research output: Contribution to journal › Review article › peer-review
Bekkers, Erik (Recipient), Jul 2019
Prize: NWO › Veni › Scientific
Florack, Luc M.J. (Recipient), 27 Mar 2020
Prize: NWO › Other › Scientific
Duits, Remco (Recipient), 24 Apr 2021
Prize: NWO › Vici › Scientific
Luc Florack (Speaker)
Activity: Talk or presentation types › Keynote talk › Scientific
7/05/22
1 item of Media coverage
Press/Media: Expert Comment
Supervisor: Dijcks, S. (Supervisor 1), Nijdam, S. (Supervisor 2), Bekkers, E. (Supervisor 2) & Florack, L. (Supervisor 2)
Student thesis: Bachelor
Supervisor: Duits, R. (Supervisor 1) & Bellaard, G. (Supervisor 2)
Student thesis: Master
Supervisor: Fuster, A. (Supervisor 1) & Heefer, S. (Supervisor 2)
Student thesis: Bachelor