• Groene Loper 5, Metaforum

    5612 AP Eindhoven

    Nederland

Organisatieprofiel

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
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

Vingerafdruk Verdiep u in de onderzoeksgebieden waarop Mathematical Image Analysis actief is. Deze onderwerplabels komen uit het werk van de leden van deze organisatie. Samen vormen ze een unieke vingerafdruk.

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

    Onderzoeksoutput

    On the non metrizability of Berwald Finsler spacetimes

    Fuster, A., Heefer, S., Pfeifer, C. & Voicu, N., 1 mei 2020, In : Universe. 6, 5, 12 blz., 64.

    Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

    Open Access
    Bestand
  • 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
    Bestand
  • 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
    Bestand
  • 1 Citaat (Scopus)
    38 Downloads (Pure)

    Prijzen

    Context-aware Artificial Intelligence in medical image analysis

    Erik Bekkers (Ontvanger), jul 2019

    Prijs: NWOVeniWetenschappelijk

  • 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

    • 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

    Knipsels

    The Mathematics Round Table: an introduction

    Luc M.J. Florack

    22/08/19

    1 item van Media-aandacht

    Pers / media: Vakinhoudelijk commentaar

    Scripties/Masterproeven

    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

    Bestand

    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

    Bestand