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.
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.
Left-invariant parabolic evolutions on SE(2) and contour enhancement via invertible orientation scores. Part I: Linear left-invariant diffusion equations on SE(2)Quarterly of Applied Mathematics (2010)
Fourier transform on the homogeneous space of 3D positions and orientations for exact solutions to linear PDEsEntropy (2019)
Evolution equations on Gabor transforms and their applicationsApplied and Computational Harmonic Analysis (2013)
Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysisJournal of Mathematical Imaging and Vision (2018)
New exact and numerical solutions of the (convection–)diffusion kernels on SE(3)Differential Geometry and its Applications (2017)