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Research profile

Erik Bekkers is a postdoctoral researcher in the Mathematical Image Analysis group at the Department of Mathematics and Computer Science at Eindhoven University of Technology (TU/e). His areas of expertise include differential geometry, machine learning and medical image analysis.

With his current research on the mathematical foundations of deep learning he addresses core problems in medical image analysis based on generic mathematical solutions that enable a wide application scope. His research is highly interdisciplinary in nature (from advanced mathematics to applied engineering research and clinical science) which is reflected by his industrial and clinical involvement through collaborations and a previous Ph.D. project (cum laude) carried out in a joint position at medical device company i-Optics B.V. (the Hague, NL) and at Biomedical Engineering (TU/e).

For his pioneering work in the field of geometric deep learning he was awarded the prestigious Young Scientist Award at MICCAI, the premier international conference in the field of medical image computing, and the Philips Impact Award at MIDL, the international conference on Medical Imaging with Deep Learning.

Academic background

Erik Bekkers received his M.Sc. degree in Biomedical Engineering in 2012 at Eindhoven University of Technology (TU/e), the Netherlands. In January 2017 he received his Ph.D. degree (cum laude)  for  his  thesis  "Retinal Image Analysis using Sub-Riemannian Geometry in SE(2)," which was conducted in a combined position at Biomedical Engineering at TU/e and at the medical device company i-Optics B.V., the Hague, the Netherlands. He currently is a postdoctoral researcher at the Department of Mathematics and Computer Science at TU/e, working on the application of Lie group (and control) theory in medical image analysis and machine learning.

Quote

Science, science is great. I love science. With any luck, it'll save us all. Isaac Brock.

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Research Output

Roto-translation covariant convolutional networks for medical image analysis

Bekkers, E. J., Lafarge, M. W., Veta, M., Eppenhof, K. A. J., Pluim, J. P. W. & Duits, R., 1 Jan 2018, Medical Image Computing and Computer Assisted Intervention – MICCAI 2018 - 21st International Conference, 2018, Proceedings. Schnabel, J. A., Davatzikos, C., Alberola-López, C., Fichtinger, G. & Frangi, A. F. (eds.). Cham: Springer, p. 440-448 9 p. (Lecture Notes in Computer Science; vol. 11070).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

  • 11 Citations (Scopus)

    A PDE approach to data-driven sub-Riemannian geodesics in SE(2)

    Bekkers, E. J., Duits, R., Mashtakov, A. & Sanguinetti, G. R., 1 Dec 2015, In : SIAM Journal on Imaging Sciences. 8, 4, p. 2740-2770 31 p.

    Research output: Contribution to journalArticleAcademicpeer-review

    Open Access
    File
  • 25 Citations (Scopus)
    262 Downloads (Pure)

    Template matching via densities on the roto-translation group

    Bekkers, E., Loog, M., Romeny, B. T. H. & Duits, R., 1 Feb 2018, In : IEEE Transactions on Pattern Analysis and Machine Intelligence. 40, 2, p. 452-466 15 p., 7864477.

    Research output: Contribution to journalArticleAcademicpeer-review

    Open Access
    File
  • 5 Citations (Scopus)
    79 Downloads (Pure)

    Nilpotent approximations of sub-Riemannian distances for fast perceptual grouping of blood vessels in 2D and 3D

    Bekkers, E. J., Chen, D. & Portegies, J. M., 1 Jul 2018, In : Journal of Mathematical Imaging and Vision. 60, 6, p. 882-899 18 p.

    Research output: Contribution to journalArticleAcademicpeer-review

    Open Access
    File
  • 2 Citations (Scopus)
    110 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 p., 38.

    Research output: Contribution to journalArticleAcademicpeer-review

    Open Access
    File
  • 1 Citation (Scopus)
    38 Downloads (Pure)

    Prizes

    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

  • Context-aware Artificial Intelligence in medical image analysis

    Erik Bekkers (Recipient), Jul 2019

    Prize: NWOVeniScientific

  • Courses

    Mathematical models in physiology

    1/09/1531/08/21

    Course

    Student theses

    File

    A new retinal vessel tracking method based on invertible orientation scores

    Author: Bekkers, E., 31 Aug 2012

    Supervisor: Duits, R. (Supervisor 1), ter Haar Romenij, B. (Supervisor 2) & Berendschot, T. (Supervisor 2)

    Student thesis: Master

    Automatic detection of vascular bifurcations and crossovers in retinal images

    Author: Smit-Ockeloen, I., 31 Aug 2015

    Supervisor: Abbasi Sureshjani, S. (Supervisor 1), Bekkers, E. (Supervisor 2) & ter Haar Romenij, B. (Supervisor 2)

    Student thesis: Master

    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

    File

    Improving on vascular tracking using sub-Riemannian geodesics

    Author: Smets, B. M., 31 Aug 2017

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

    Student thesis: Bachelor

    File