• Groene Loper 5, Metaforum

    5612 AP Eindhoven


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
• 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.

    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 journalArticleAcademicpeer-review

    Open Access
  • 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 proceedingConference contributionAcademicpeer-review

    Open Access
  • 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 journalArticleAcademicpeer-review

    Open Access
  • 1 Citation (Scopus)
    37 Downloads (Pure)


    Context-aware Artificial Intelligence in medical image analysis

    Erik Bekkers (Recipient), Jul 2019

    Prize: NWOVeniScientific

  • MICCAI Young Scientist Award

    Erik J. Bekkers (Recipient), 19 Sep 2018

    Prize: OtherCareer, activity or publication related prizes (lifetime, best paper, poster etc.)Scientific

  • Philips Impact Award

    Erik J. Bekkers (Recipient), 6 Jun 2018

    Prize: OtherCareer, 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 201724 Nov 2017

    Activity: Talk or presentation typesKeynote talkScientific

    Student theses


    Geometric image denoising and machine learning

    Author: Smets, B., 2019

    Supervisor: Duits, R. (Supervisor 1), Bekkers, E. (Supervisor 2) & Portegies, J. W. (Supervisor 2)

    Student thesis: Master