Mathematical Image Analysis

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

  de Veld, F. T. (Author), Dijcks, S. (Supervisor 1), Nijdam, S. (Supervisor 2), Bekkers, E. (Supervisor 2) & Florack, L. (Supervisor 2), 4 Jul 2019

  Student thesis: Bachelor

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• Alternative Semirings

  Donker, P. D. (Author), Duits, R. (Supervisor 1), 15 Dec 2023

  Student thesis: Master

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• Analysis and Geometric Interpretation of PDE-G-CNNs

  Bon, D. L. J. (Author), Duits, R. (Supervisor 1) & Bellaard, G. (Supervisor 2), 19 Jul 2022

  Student thesis: Master

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• Anatomy of analogue black hole geometries: from ADM Decomposition to superradiance

  The, B. (Author), Fuster, A. (Supervisor 1), Toschi, F. (Supervisor 2) & Heefer, S. (Supervisor 2), 2024

  Student thesis: Bachelor

• An intrinsic approach to the fundamentals of Finsler geometry

  Sakata, S. (Author), Fuster, A. (Supervisor 1) & Heefer, S. (Supervisor 2), 26 Jul 2021

  Student thesis: Bachelor

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• A unicorn solution to the Finslerian extension of the Einstein field equations

  Reggio, A. (Author), Fuster, A. (Supervisor 1) & Heefer, S. (Supervisor 2), 30 Jun 2022

  Student thesis: Master

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• Automatic Edge-detection and Grouping of Possibly Overlapping Components in SEM images of Silicon Wafers

  Vis, L. (Author), Duits, R. (Supervisor 1), van den Berg, N. J. (Supervisor 2) & Pisarenco, M. (External coach), 26 Jun 2024

  Student thesis: Master

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• Axiomatic PDE-G-CNN on SE(2)

  Sakata, S. (Author), Duits, R. (Supervisor 1) & Bellaard, G. (Supervisor 2), 30 Nov 2023

  Student thesis: Master

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• Connections on Vector Bundles: and applications in Visual Psychophysics

  Botta, F. (Author), Florack, L. M. J. (Supervisor 1), 27 Jun 2023

  Student thesis: Bachelor

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• Efficient Region-to-Region Geodesic Tractography

  Smolders, L. (Author), Florack, L. M. J. (Supervisor 1), de Berg, M. T. (Supervisor 2) & Sengers, H. J. C. E. (Supervisor 2), 4 Jan 2021

  Student thesis: Master

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• Exact vacuum solutions to quadratic gravity

  Niehof, L. (Author), Fuster, A. (Supervisor 1) & Heefer, S. (Supervisor 2), Apr 2022

  Student thesis: Bachelor

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• Exploration of the analogy between propagating surface gravity waves and gravitational phenomena

  Avontuur, S. (Author), Toschi, F. (Supervisor 1) & Fuster, A. (Supervisor 1), 2024

  Student thesis: Bachelor

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• General relativity in the Lagrangian and Hamiltonian formalism

  Otjens, P. A. S. (Author), Florack, L. M. J. (Supervisor 1) & Heefer, S. (Supervisor 2), 9 Feb 2024

  Student thesis: Bachelor

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• Geometric denoising and contrast enhancement of X-ray images

  Putnoki, A. (Author), Duits, R. (Supervisor 1) & Smets, B. M. N. (Supervisor 2), 2020

  Student thesis: Bachelor

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• Geometric Diffusion in Riemannian & Finsler Manifolds

  Caris, B. M. (Author), Florack, L. M. J. (Supervisor 1), 22 Mar 2024

  Student thesis: Master

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• Geometric image denoising and machine learning

  Smets, B. (Author), Duits, R. (Supervisor 1), Bekkers, E. (Supervisor 2) & Portegies, J. W. (Supervisor 2), 2019

  Student thesis: Master

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• Improved Computational Models and Algorithms for Geodesic Vessel Tracking in Orientation Scores

  van den Berg, N. (Author), Duits, R. (Supervisor 1) & Smets, B. (Supervisor 2), 9 Jul 2021

  Student thesis: Master

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• Improved vessel tracking and new data-driven connections on SE(2)

  Wemmenhove, A. J. (Author), Duits, R. (Supervisor 1) & Smets, B. M. N. (Supervisor 2), 15 Jul 2020

  Student thesis: Master

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• Introduction to Shift-Invariant PDE-based Convolutional Neural Networks and experimentation with Vessel Segmentation

  Castella, A. (Author), Duits, R. (Supervisor 1) & Smets, B. M. N. (Supervisor 2), Jul 2021

  Student thesis: Bachelor

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• Kasner metric in Finsler gravity

  van Voorthuizen, J. (Author), Fuster, A. (Supervisor 1), Heefer, S. (Supervisor 2) & Kamp, L. P. J. (Supervisor 2), 25 Jun 2021

  Student thesis: Bachelor

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• Locally Scale Invariant Con-volutional Neural Networks

  Romijn, T. (Author), Bekkers, E. J. (Supervisor 1), 2018

  Student thesis: Bachelor

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• Noise propagation in diffusion tensor imaging

  Vermeulen, L. (Author), Sengers, H. J. C. E. (Supervisor 1) & Florack, L. M. J. (Supervisor 2), 2 May 2021

  Student thesis: Bachelor

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• On the Construction of Classical and Quantum PDE-Based Neural Networks

  Kraakman, T. B. (Author), Duits, R. (Supervisor 1), Bellaard, G. (Supervisor 2) & Pai, G. (Supervisor 2), 7 Jul 2023

  Student thesis: Master

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• Path integrals: Rigorous approach for application to diffusion magnetic resonance imaging

  Caris, B. M. (Author), Florack, L. M. J. (Supervisor 1), Jun 2021

  Student thesis: Bachelor

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• Physics-informed neural networks for myocardial perfusion MRI quantification

  van Herten, R. L. M. (Author), Bovendeerd, P. H. M. (Supervisor 1), Breeuwer, M. (Supervisor 2), Chiribiri, A. (External coach), Duits, R. (Supervisor 2), Scannell, C. (External coach) & Veta, M. (Supervisor 2), 22 Feb 2021

  Student thesis: Master

• The variational calculus for singular and first order homogeneous Lagrangians

  Linders, A. (Author), Florack, L. M. J. (Supervisor 1), 11 Jul 2023

  Student thesis: Bachelor

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• Tractometric filtering of Geodesics in DTI-Tractography

  Lammers, K. M. H. (Author), Florack, L. M. J. (Supervisor 1) & Sengers, H. J. C. E. (Supervisor 2), 17 Jul 2024

  Student thesis: Bachelor

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