• Groene Loper 5, Metaforum

    5612 AP Eindhoven


  • P.O. Box 513, Department of Mathematics and Computer Science

    5600 MB Eindhoven



Introductie / missie

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.

Over de organisatie

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

Vingerafdruk Duik in de onderzoeksthema's waar Mathematical Image Analysis actief is. Deze onderwerplabels komen voort uit het werk van deze leden van de organisatie. Samen vormen ze een unieke vingerafdruk.

Magnetic resonance imaging Engineering en materiaalwetenschappen
Imaging techniques Engineering en materiaalwetenschappen
Brain Engineering en materiaalwetenschappen
angular resolution Fysica en Astronomie
Image analysis Engineering en materiaalwetenschappen
tensors Fysica en Astronomie
Enhancement Rekenkunde
Geodesic Rekenkunde

Netwerk Recente externe samenwerking op landenniveau. Duik in de details door op de stippen te klikken.

Onderzoeksoutput 2001 2019

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 blz.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Open Access
1 Citaat (Scopus)
27 Downloads (Pure)

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 blz., 38.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Open Access
pulse detonation engines
rigid structures
image analysis
24 Downloads (Pure)

Structural connectivity analysis using Finsler geometry

Dela Haije, T., Savadjiev, P., Fuster, A., Schultz, R. T., Verma, R., Florack, L. & Westin, C-F., 2019, In : SIAM Journal on Imaging Sciences. 12, 1, blz. 551-575 25 blz.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Open Access


Context-aware Artificial Intelligence in medical image analysis

Erik Bekkers (Ontvanger), jul 2019

Prijs: NWOVeniWetenschappelijk

Image analysis
Artificial intelligence

MICCAI Young Scientist Award

Erik J. Bekkers (Ontvanger), 19 sep 2018

Prijs: AndersWerk, activiteit of publicatie gerelateerde prijzen (lifetime, best paper, poster etc.)Wetenschappelijk


Philips Impact Award

Erik J. Bekkers (Ontvanger), 6 jun 2018

Prijs: AndersWerk, activiteit of publicatie gerelateerde prijzen (lifetime, best paper, poster etc.)Wetenschappelijk


Activiteiten 2017 2017

  • 1 Keynote spreker

Riemannian and Finslerian Geometry for Diffusion Weighted Magnetic Resonance Imaging

Luc Florack (Spreker)
20 nov 201724 nov 2017

Activiteit: Types gesprekken of presentatiesKeynote sprekerWetenschappelijk


The Mathematics Round Table: an introduction

Luc M.J. Florack


1 item van Media-aandacht

Pers / media: Vakinhoudelijk commentaar


Luc M.J. Florack


1 item van Media-aandacht

Pers / media: Vakinhoudelijk commentaar


3D reconstruction of streamer discharges using mathematical algorithms: based on predictive back-end reconstruction, minimum spanning trees and sub-Riemannian geometry

Auteur: de Veld, F., 4 jul 2019

Begeleider: Dijcks, S. (Afstudeerdocent 1), Nijdam, S. (Afstudeerdocent 2), Bekkers, E. (Afstudeerdocent 2) & Florack, L. (Afstudeerdocent 2)

Scriptie/masterproef: Bachelor


Geometric image denoising and machine learning

Auteur: Smets, B., 2019

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

Scriptie/masterproef: Master