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Personal profile

Research profile

Remco Duits is an Associate Professor at the Department of Mathematics and Computer Science, Eindhoven University of Technology (TU/e). He is also affiliated to the TU/e biomedical engineering department medical image analysis (IMAG/e) where he applies his theory to medical imaging applications. Areas of expertise incluce mathematics, medical image analysis, differential geometry, Lie group analysis and numerical analysis. His research interests encompass group theory, functional analysis, differential geometry, PDE’s, harmonic analysis, geometric control and their applications to biomedical imaging and vision. Current research projects include a new retinal vessel tracking method based on orientation scores, Lie Group Analysis for Medical Image Processing and analysis of cardiac motion and strain patterns from Magnetic Resonance Imaging and Ultrasound Imaging to identify disease and its location.

Academic background

Remco Duits received his MSc degree (with honors) in Mathematics in 2001 at the TU/e, where he also received his PhD (with honors) at the Department of Biomedical Engineering. Now he is associate professor at the Department of Applied Mathematics & Computer Science and affiliated part-time group at the Biomedical Engineering Department.

Remco has organized and chaired three international workshops held at Eurandom TU/e intended for both mathematicians (probability theory, harmonic analysis and statistics) and mathematically inclined engineers (statistics and imaging). He has organized various other workshops and is a member of the EMaCs (Eindhoven Mathematics Colloquiums) organizing committee.as well as several other program committees, such as the international conferences on scale space and variational methods. He has also acted as associate editor on the JMIV editorial board and scientific reviewer for research proposals in the European Union, conference proceedings and related books, and journals such as JMIV, IJCV, PAMI, Journal of Physiology, SIAM Journal on Imaging Science, and IEEE-journal TMI.

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Research Output 2001 2019

58 Citations (Scopus)
Green's function
Diffusion equation
Invertible
Enhancement
Kolmogorov Equation
1 Citation (Scopus)

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
pulse detonation engines
quotients
rigid structures
robotics
image analysis
14 Citations (Scopus)

Evolution equations on Gabor transforms and their applications

Duits, R., Führ, H., Janssen, B. J., Bruurmijn, L. C. M., Florack, L. M. J. & Assen, van, H. C., 2013, In : Applied and Computational Harmonic Analysis. 35, 3, p. 483-526 44 p.

Research output: Contribution to journalArticleAcademicpeer-review

Gabor Transform
Medical imaging
Evolution Equation
Lie groups
Signal analysis
5 Citations (Scopus)

Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysis

Duits, R., Meesters, S. P. L., Mirebeau, J. M. & Portegies, J. M., 1 Jul 2018, In : Journal of Mathematical Imaging and Vision. 60, 6, p. 816-848 33 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Optimal Path
image analysis
Image Analysis
Image analysis
Railroad cars
4 Citations (Scopus)

New exact and numerical solutions of the (convection–)diffusion kernels on SE(3)

Portegies, J. M. & Duits, R., 1 Aug 2017, In : Differential Geometry and its Applications. 53, p. 182-219 38 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Convection-diffusion
Eigenvalues and eigenfunctions
Eigenfunctions
Fourier transform
Fourier transforms

Prizes

Lie Group Analysis for Medical Image Processing

Remco Duits (Recipient), 2013

Recognition: ERCStartingScientific

Medical image processing
Lie groups
Medical imaging
Random processes
Ordinary differential equations

Courses

Analysis 2

1/09/12 → …

Course

Complex analysis

1/09/13 → …

Course

Student theses

3D orientation scores applied to MRA vessel analysis

Author: Janssen, M., 31 Aug 2014

Supervisor: Breeuwer, M. (Supervisor 1) & Duits, R. (Supervisor 2)

Student thesis: Master

Analysis of 3D MRI blood-flow data using Helmholtz decomposition

Author: Arias, A., 30 Nov 2011

Supervisor: Jalba, A. (Supervisor 1), Duits, R. (Supervisor 2) & van Pelt, R. (Supervisor 2)

Student thesis: Master

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

An optimized processing framework for fiber tracking on DW-MRI applied to the optic radiation

Author: Fick, R., 31 Aug 2013

Supervisor: Duits, R. (Supervisor 1), Vilanova Bartroli, A. (Supervisor 2), Ossenblok, P. (Supervisor 2), Creusen, E. (Supervisor 2) & ter Haar Romenij, B. (Supervisor 2)

Student thesis: Master

Curve reconstruction via sub-Riemannian geometry and its applications in retinal vessel tracking

Author: Baspinar, E., 31 Aug 2013

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

Student thesis: Master