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Nicky J. van den Berg

PhD Candidate

Eindhoven University of Technology (TU/e)
Geometric Learning and Differential Geometry Group (GLDG)


n.j.v.d.berg [at] tue.nl


CV


Biography


I am a PhD student in applied mathematics at Eindhoven University of Technology under the supervision of dr.ir. R. Duits in the Geometric Learning and Differential Geometry group (GLDG) of the Centre for Analysis, Scientific Computing and Applications (CASA) cluster. My research interests include differential geometry, PDEs, numerical methods, geometric tracking and medical image analysis.

Publications


Year Title Authors Type
2025 Crossing-Preserving Geodesic Tracking on Spherical Images N.J. van den Berg, F.M. Sherry, Tos T.J.M. Berendschot, R. Duits Conference
2024 Connected Components on Lie Groups and Applications to Multi-Orientation Image Analysis N.J. van den Berg, O. Mula, L. Vis, R. Duits Preprint
2024 Geodesic Tracking via New Data-driven Connections of Cartan Type for Vascular Tree Tracking N.J. van den Berg, B.M.N. Smets, G. Pai, J.-M. Mirebeau, R. Duits Journal
2023 Geodesic Tracking of Retinal Vascular Trees with Optical and TV-Flow Enhancement in SE(2) N.J. van den Berg, S. Zhang, B.M.N. Smets, T.T.J.M. Berendschot, R. Duits Proceedings
2023 Segmentation tool for images of cracks A. Kompanets, R. Duits, D. Leonetti, N.J. van den Berg, H.H. Snijder Conference
2021 Improved Computational Models and Algorithms for Geodesic Vessel Tracking in Orientation Scores N.J. van den Berg Master Thesis
2018 Disease dynamics in the framework of interacting particle systems: the position dependent SIS-model N.J. van den Berg Bachelor Thesis

Presentations


Date Occasion Venue Title
13 April 2022 CASA Day Evoluon Geodesic Tracking via New Data-Driven Cartan Connections for Vascular Tree Tracking
31 March 2023 Research Talk Maastricht University Geodesic Tracking of Retinal Vascular Trees with Optical and TV-Flow Enhancement in the Lifted Space of Positions and Orientations SE(2)
19 June 2024 Conference Talk Geometry and Machine Learning (Scalea) Geodesic Tracking via Data-Driven Geometry for Vascular Tree Tracking
1 October 2024 Research Talk Emory Lie Groups and Applications to Multi-Orientation Image Analysis
7 October 2024 Invited Talk Algebra Seminar Georgia Tech Lie Groups and Applications to Multi-Orientation Image Analysis
14 March 2025 Research Talk Ophthalmology Seminar Maastricht UMC+ Image Analysis on Retinal Images
16 April 2025 CASA Day Conferentiecentrum Eindhoven Geodesic Tracking on Retinal Images
27 May 2025 Invited Talk Real World Applications of Geometry and Algebra (RAGA) 2025 Geodesic Tracking of Vascular Trees in Retinal Images

Supervision


Year Type Student Project Title Role
2024 Bachelor Thesis Franciska Asma Curvature Estimation on Computer Chips Co-supervisor
2023 Master Thesis Leanne Vis Connected Components in SE(2) for Edge Detection in Chip Wafers Co-supervisor
2023 Modeling Week Project Geodesic Tracking of Blood Vessels in Wide-Field Retinal Images Co-supervisor
2023 Research Topic Leanne Vis Connected Components Co-supervisor
2022 Internship Romain Dugast Geometric Tracking in SE(2) and PDE-G-CNNs for the Classification of Arteries and Veins Co-supervisor

Teaching


Year Course Code Course Title Student's Department Role
2024-2025 Quarter 1 2MBC30 Numerical Linear Algebra AM Instructor
2023-2024 Quarter 2 2WA80 Complex Analysis AM Instructor
2023-2024 Quarter 1 2DB03 Calculus BE Instructor
2022-2023 Quarter 4 2WA80 Complex Analysis AM Instructor
2022-2023 Quarter 1 2DB03 Calculus BE Instructor
2021-2022 Quarter 4 2WA80 Complex Analysis AM Instructor
2020-2021 Quarter 3 2DE20 Mathematics 1 EE Instructor
2019-2020 Quarter 1 2DD40 Mathematics 1 IE Instructor
2018-2019 Quarter 3 2DE20 Mathematics 1 EE Instructor
2018-2019 Quarter 1 2WBC0 Calculus C AP Tutor
2017-2018 Quarter 3 2IAB0 Data Analytics for Engineers EE, AM, P&T Instructor
2017-2018 Quarter 1 2WBC0 Calculus C AP Tutor
2016-2017 Quarter 3 0LEB0 Introduction to Modeling; From Problems to Numbers and Back P&T Tutor
2016-2017 Quarter 1 2WBB0 Calculus B ME Tutor
2015-2016 Quarter 1 2WBB0 Calculus B MS&T Tutor

Trajectory


  • PhD Candidate

    Geometric Learning and Differential Geometry Group

    Nov 2021 - present

    The research focuses on correctly identifying and tracking the vasculature depicted on retinal images.
    Supervision: Remco Duits, Olga Mula.

  • Visiting Researcher

    Emory

    Oct 2024

    Host: Lars Ruthotto.

  • MSc Industrial and Applied Mathematics

    Eindhoven University of Technology

    April 2018 - July 2021

    Focus on Computational Science and Analysis.
    Thesis: Improved Computational Schemes for Geodesic Vessel Tracking in Orientation Scores.
    Graduated Cum Laude (average grade 8.0, final project grade: 9.0)

  • Research intern

    University of Western Ontario

    Feb 2020 - May 2020

    Assisting with research (15 ECTS) on blood coagulation models. Part of the Master Industrial and Applied Mathematics at the TU/e.
    Internship: The Blood Coagulation Process: A Mathematical Model.

  • Technical Author

    Numworx

    Dec 2019 - June 2020

    Developing mathematical exercises on high school and college level.

  • Secretary

    Study Association GEWIS

    July 2017 - June 2018

    Responsible for the well-being of the association during the academic year 2017-2018.
    Responsible for the members administration, minutes of board and general member meetings and handling (e-)mail.

  • BSc Applied Mathematics

    Eindhoven University of Technology

    Sep 2014 - March 2018

    Courses from Psychology and Technology (Perception and Motor Control, Human Factors).
    Thesis: Disease Dynamics in the Framework of Interacting Particle Systems: The Position Dependent SIS-model.