I studied Mathematics in France, University of Nice Sophia Antipolis where I got a PhD in Algebraic Geometry in 1994. I spent some years in Burkina Faso, West Africa,
where I taught Mathematics at the University of Ouagadougou. I moved then to Denmark and engaged in yet another PhD, at the
IT University of Copenhagen, degree awarded in 2004. I worked on Variational Methods for Motion Compensated Inpainting and motion recovery among other. I have since mainly worked with variational methods, and geometry for Image Analysis (mainly Riemannian, but also some metric geometry). More recently, I have spend some time with inverse problems in photometric stereo, tomographic imaging, some geometric deep learning, 3D vision with refraction.
Research Interests
My main research area around the mathematical foundations of Image Analysis.
Currently I am particularly interested in imaging inverse problems, including
Variational Methods for Video Sequences Processing
Geometry for Shape spaces
Photometric Stereo
Tomography
Segmentation
Variational Methods in the Riemannian Geometry Setting
3D reconstruction methods when refraction comes into play.
and applications of these methods.
Teaching Activities
Currently I teach the following courses:
Mathematical Analysis and Probability Theory for Computer Scientists (MASD), Numerical Methods (NuMe), Numerical Optimisation (NO), Linear Algebra for Computer Scientists (LinalgDat),
Past courses include
Vision and Image processinb (VIP), Introduction to Data Science (IDS), Signal and Image Processing (SIP)) Numerical Solutions of Differential Equations (NumDiff), Modelling and Analysis of Data (MAD), Introduction to Programming (Grundlæggende Programmering) (KOMIT IP), Mathematics for Science (MatNat). Computational Methods In Simulation (CMIS), CMMP - and I don't actually remember what the acronym stands for...
Adminsitrative Activities
Since February 20232, I am one of the 3 PhD coordinators at DIKU.
R. Liu, F. Lauze, K. Erleben, R. W. Berg, S.Darkner, Bundle Geodesic Convolutional Neural Network for DWI Segmentation.Journal of Medical Imaging 9(6) 064002
Y. Quéau, Bastien Durix, Tao Wu, Daniel Cremers, François Lauze, and Jean-Denis Durou, LED-based Photometric Stereo: Modeling, Calibration and Numerical Solutions.Journal of Mathematical Imaging and Vision, vol. 60, no. 3, pp. 313-340. https://doi.org/10.1007/s10851-017-0761-1, 2018
François Lauze, Yvain Quéau, Esben Plenge,Simultaneous reconstruction and segmentation of CT scans with shadowed data. Proceedings of SSVM 2017.
Aasa Feragen, François Lauze, Søren Hauberg
Geodesic Exponential Kernels: When Curvature and Linearity Conflict.Proceedings of IEEE CVPR 2015, 3032-3042
Stefan Horst. Sommer, François. Lauze and Mads Nielsen.
Optimization over Geodesics for Exact Principal Geodesic Analysis. Advances in Computational Mathematics, 40(2):283-313 , 2014.
[WWW]
Søren Hauberg,
François Lauze,
and Kim Steenstrup Pedersen.
Unscented Kalman Filters on Riemannian Manifolds.Journal of Mathematical Imaging and Vision, 46(1):103-120,
2013.
Sune H. Keller, François Lauze and Mads Nielsen.
Video super-resolution using simultaneous motion and intensity calculations.IEEE Transactions on Image Processing 20(7), pp. 1870-1884, 2011
Stefan Sommer, François Lauze and Mads Nielsen.
Optimization over geodesics for exact principal geodesic analysis.
Advances in Computational Mathematics 40 (2), 283-313
