Content available in repository
Content available in repository
Groene Loper 5, Metaforum
5612 AP Eindhoven
Netherlands
P.O. Box 513, Metaforum
5600 MB 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: Thesis › Phd Thesis 1 (Research TU/e / Graduation TU/e)
Research output: Contribution to journal › Article › Academic › peer-review
Research output: Contribution to journal › Article › Academic › peer-review
Kompanets, A. (Creator), Leonetti, D. (Creator), Duits, R. (Creator) & Snijder, H. H. (Creator), Eindhoven University of Technology, 16 Apr 2024
DOI: 10.4121/6162a9b6-2a20-4600-8207-e9dcd53a264a.v3
Dataset
Bekkers, E. (Recipient), Jul 2019
Prize: NWO › Veni › Scientific
Florack, L. M. J. (Recipient), 27 Mar 2020
Prize: NWO › Other › Scientific
Duits, R. (Recipient), 24 Apr 2021
Prize: NWO › Vici › Scientific
Florack, L. (Speaker)
Activity: Talk or presentation types › Keynote talk › Scientific
3/04/23
1 item of Media coverage
Press/Media: Expert Comment
7/05/22
1 item of Media coverage
Press/Media: Expert Comment
12/11/20
1 item of Media coverage
Press/Media: Expert Comment
Student thesis: Bachelor
Student thesis: Master
Student thesis: Master