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 and tomographic imaging.
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
and applications of these methods.
Teaching Activities
Currently I teach the following courses:
Numerical Optimisation, Vision and Image Processing (VIP), Introduction to Data Science (IDS).
Past courses include
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).
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.
Means in spaces of tree-like shapes. ICCV 2011, 2011
IEEE Transactions on Image Processing 20(7), pp. 1870-1884, 2011
Lars Lau Rakêt, Lars Roholm, Mads Nielsen and François Lauze
TV-L1 Optical Flow for Vector Valued Image. In Y. Boykov and F. Kahl and V. Lempitsky eds.
Proceedings of EMMCVPR LNCS 6819,
pp. 329-343, 2011
Stefan Sommer, François Lauze and Mads Nielsen.
Optimization over geodesics for exact principal geodesic analysis.
Advances in Computational Mathematics 40 (2), 283-313