Research Output per year
Organization profile
Introduction / mission
We are interested in inverse problems, such as:
- Inference of brain anatomy from diffusion weighted magnetic resonance imaging (tractography, connectivity)
- Detection, enhancement, completion, and geometric analysis of elongated structures in 2-and 3-dimensional images
- AI enhanced geometric image analysis
Highlighted phrase
Development of new methodologies and algorithms for the representation and analysis of complex imaging data (`big images’) for healthcare applications.
Organisational profile
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
Fingerprint Dive into the research topics where Mathematical Image Analysis is active. These topic labels come from the works of this organisation's members. Together they form a unique fingerprint.
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Profiles
Erik J. Bekkers
- Department of Mathematics and Computer Science, Mathematical Image Analysis
- Department of Mathematics and Computer Science, Centre for Analysis, Scientific Computing, and Applications W&I - Assistant Professor
Person: UD : Assistant Professor, PD : Postdoc
Remco Duits
- Department of Mathematics and Computer Science, Centre for Analysis, Scientific Computing, and Applications W&I - Associate Professor
- Department of Mathematics and Computer Science, Mathematical Image Analysis
Person: UHD : Associate Professor
Luc M.J. Florack
- Department of Mathematics and Computer Science, Centre for Analysis, Scientific Computing, and Applications W&I - Full Professor
- Department of Mathematics and Computer Science, Centre for Analysis, Scientific Computing, and Applications - Full Professor
- Department of Mathematics and Computer Science, Mathematical Image Analysis
Person: HGL : Professor
Research Output
On the non metrizability of Berwald Finsler spacetimes
Fuster, A., Heefer, S., Pfeifer, C. & Voicu, N., 1 May 2020, In : Universe. 6, 5, 12 p., 64.Research output: Contribution to journal › Article › Academic › peer-review
Open Access
File
Automated tractography of four white matter fascicles in support of brain tumor surgery
Meesters, S., Rutten, G-J., Fuster, A. & Florack, L., 2019, Proceedings of the Organization for Human Brain Mapping annual meeting. 1 p.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
Open Access
File
Fourier transform on the homogeneous space of 3D positions and orientations for exact solutions to linear PDEs
Duits, R., Bekkers, E. J. & Mashtakov, A., 8 Jan 2019, In : Entropy. 21, 1, 38 p., 38.Research output: Contribution to journal › Article › Academic › peer-review
Open Access
File
1
Citation
(Scopus)
37
Downloads
(Pure)
Prizes
Context-aware Artificial Intelligence in medical image analysis
Erik Bekkers (Recipient), Jul 2019
Prize: NWO › Veni › Scientific
MICCAI Young Scientist Award
Erik J. Bekkers (Recipient), 19 Sep 2018
Prize: Other › Career, activity or publication related prizes (lifetime, best paper, poster etc.) › Scientific
Philips Impact Award
Erik J. Bekkers (Recipient), 6 Jun 2018
Prize: Other › Career, activity or publication related prizes (lifetime, best paper, poster etc.) › Scientific
Activities
- 1 Keynote talk
Riemannian and Finslerian Geometry for Diffusion Weighted Magnetic Resonance Imaging
Luc Florack (Speaker)20 Nov 2017 → 24 Nov 2017
Activity: Talk or presentation types › Keynote talk › Scientific
Press / Media
The Mathematics Round Table: an introduction
22/08/19
1 item of Media coverage
Press/Media: Expert Comment
Eindhoven University of Technology: Five Veni Grants - From Energy Storage to Artificial Neurons
Erik J. Bekkers, Weiming Yao, S.C. (Lenneke) Kuijer & Antoni Forner Cuenca
16/07/19
1 item of Media coverage
Press/Media: Expert Comment
Student theses
3D reconstruction of streamer discharges using mathematical algorithms: based on predictive back-end reconstruction, minimum spanning trees and sub-Riemannian geometry
Author: de Veld, F., 4 Jul 2019Supervisor: Dijcks, S. (Supervisor 1), Nijdam, S. (Supervisor 2), Bekkers, E. (Supervisor 2) & Florack, L. (Supervisor 2)
Student thesis: Bachelor
File
Geometric image denoising and machine learning
Author: Smets, B., 2019Supervisor: Duits, R. (Supervisor 1), Bekkers, E. (Supervisor 2) & Portegies, J. W. (Supervisor 2)
Student thesis: Master
File