GCE
Place du Levant 1/L5.05.01
1348 Louvain-la-Neuve
- Accueil
- Répertoire
- Pierre-Yves Gousenbourger
Pierre-Yves Gousenbourger
Assistant de recherche
- Diplômes
Année Label Institution 2013 Master: ingénieur civil en mathématiques appliquées Université catholique de Louvain 2020 Doctorat en sciences de l'ingénieur Université catholique de Louvain
LFSAB1101: Mathématiques 1 (UCLouvain), 2014-2019
LFSAB1102: Mathématiques 2 (UCLouvain), 2015-2020
LINGE1213: Physics 2 (UCLouvain), 2014-2019
LFSAB2995: Stage en entreprise (UCLouvain), 2015-2020
LINGI1112 : Algèbre (UCLouvain), 2017 - 2020
FSAB1106: Signal and Systems (UCLouvain), 2015
LINGI2348: Information theory (UCLouvain) 2015
I conducted a PhD on fitting and interpolation on Riemannian manifolds. Manifolds are nonlinear topological spaces. They do not behave like Euclidean spaces globally but they do locally. This enables to develop tools for optimization (for instance) that integrate nonlinear constraints within the space itself.
I am interrested in topics related: optimization, interpolation, curve fitting, representation of physical problems on manifolds.As a post-doc (2022), I joined three projects about Hydraulics : the first one consists in estimating the rate of flow of a river based on movies of it; the second one consists in estimating the water flow within a river based on finite volumes techniques; the third one is related to the management of water supply in developping countries.
2018
Bergmann, Ronny ; Gousenbourger, Pierre-Yves. A Variational Model for Data Fitting on Manifolds by Minimizing the Acceleration of a Bézier Curve. In: Frontiers in Applied Mathematics and Statistics, Vol. 4, no.59, p. 1--16 (2018). doi:10.3389/fams.2018.00059.
2018
Gousenbourger, Pierre-Yves ; Massart, Estelle ; Absil, Pierre-Antoine. Data Fitting on Manifolds with Composite Bézier-Like Curves and Blended Cubic Splines. In: Journal of Mathematical Imaging and Vision, Vol. 61, no. 5, p. 645-671 (2018). doi:10.1007/s10851-018-0865-2.
2016
Absil, Pierre-Antoine ; Gousenbourger, Pierre-Yves ; Striewski, Paul ; Wirth, Benedikt. Differentiable piecewise-Bézier surfaces on Riemannian manifolds. In: SIAM Journal on Imaging Sciences, Vol. 9, no. 4, p. 1788-1828 (2016). doi:10.1137/16M1057978.
2019
Massart, Estelle ; Gousenbourger, Pierre-Yves ; Nguyen, Thanh Son ; Stykel, Tatjana ; Absil, Pierre-Antoine. Interpolation on the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results. 27th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning(ESANN 2019) (Bruges, du 24/04/2019 au 26/04/2019). In: ESANN 2019 Proceedings, 2019, p. 281-286.
2019
Nguyen, Thanh Son ; Gousenbourger, Pierre-Yves ; Massart, Estelle ; Absil, Pierre-Antoine. Online balanced truncation for linear time-varying systems using continuously differentiable interpolation on Grassmann manifold. 2019 6th International Conference on Control, Decision and Information Technologies (CoDIT) (Paris, France, du 23/4/2019 au 26/4/2019). In: 2019 6th International Conference on Control, Decision and Information Technologies (CoDIT), IEEE, 2019. 9781728105215, p. 165-170. doi:10.1109/codit.2019.8820675.
2018
Gousenbourger, Pierre-Yves ; Massart, Estelle ; Absil, Pierre-Antoine. Blended smoothing splines on Riemannian manifolds. iTwist 2018 (Marseille, du 21/11/2018 au 23/11/2018).
2017
Gousenbourger, Pierre-Yves ; Jacques, Laurent ; Absil, Pierre-Antoine. Fast Method to Fit a C1 Piecewise-Bézier Function to Manifold-Valued Data Points: How Suboptimal is the Curve Obtained on the Sphere S2?. Geometric Science of Information (Paris, du 07/11/2017 au 09/11/2017). In: Geometric Science of Information. GSI 2017. Lecture Notes in Computer Science, Springer International, 2017. 978-3-319-68445-1. doi:10.1007/978-3-319-68445-1_69.
2017
Gousenbourger, Pierre-Yves ; Massart, Estelle ; Musolas, Antoni ; Absil, Pierre-Antoine ; Hendrickx, Julien ; Jacques, Laurent ; Marzouk, Youssef. Piecewise-Bezier C1 smoothing on manifolds with application to wind field estimation. ESANN 2017, European Symposium on Artificial Neural Networks (Bruges (Belgium), du 26/04/2017 au 28/04/2017). In: 25th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2017), 2017. 978-287587039-1, 305-3010.
2016
Absil, Pierre-Antoine ; Gousenbourger, Pierre-Yves ; Striewski, Paul ; Wirth, Benedikt. Differentiable piecewise-Bézier interpolation on Riemannian manifolds. ESANN 2016, European Symposium on Artificial Neural Networks (Bruges (Belgium), du 27/04/2016 au 29/04/2016). In: Proceedings of ESANN 2016, European Symposium on Artificial Neural Networks, 2016. 978-287587027-8.
2016
Gousenbourger, Pierre-Yves ; Absil, Pierre-Antoine ; Wirth, Benedikt ; Jacques, Laurent. Interpolation on manifolds using Bézier functions. "International Traveling Workshop on Interactions Between Sparse Models and Technology" (Aalborg, Denmark, du 24/08/2016 au 26/08/2016). In: Proceedings of the third "international Traveling Workshop on Interactions between Sparse models and Technology" iTWIST'16, (24-26/08/2016).
2015
Samir, Chafik ; Gousenbourger, Pierre-Yves ; H. Joshi, Shantanu. Cylindrical Surface Reconstruction by Fitting Paths on Shape Space. 1st International Workshop on DIFFerential Geometry in Computer Vision for Analysis of Shapes, Images and Trajectories (DIFF-CV 2015) (Swansea). In: Proceedings of the 1st International Workshop on DIFFerential Geometry in Computer Vision for Analysis of Shapes, Images and Trajectories (DIFF-CV 2015), 2015.
2015
Arnould, Antoine ; Gousenbourger, Pierre-Yves ; Samir, Chafik ; Absil, Pierre-Antoine ; Canis, Michel. Fitting Smooth Paths on Riemannian Manifolds: Endometrial Surface Reconstruction and Preoperative MRI-Based Navigation. GSI 2015 (Paris, Ecole Polytechnique, du 28/10/2015 au 30/10/2015). In: Geometric Science of Information: second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings (Image Processing, Computer Vision, Pattern Recognition, and Graphics; 9389), Springer, 2015. 978-3-319-25039-7. doi:10.1007/978-3-319-25040-3.
2014
Gousenbourger, Pierre-Yves ; Samir, Chafik ; Absil, Pierre-Antoine. Piecewise-Bézier C¹ interpolation on Riemannian manifolds with application to 2D shape morphing. ICPR2014 (Stockholm, du 25/08/2014 au 29/08/2014). doi:10.1109/ICPR.2014.700.
2020
Gousenbourger, Pierre-Yves. Interpolation and fitting on Riemannian manifolds, prom. : Absil, Pierre-Antoine ; Jacques, Laurent, 22/09/2020.