
Professor in applied mathematics (équipe AN-EDP, LMO, Université Paris-Sud)
Coordinator of the MAGA project, funded by the French ANR.
Research topics: computational optimal transport, computational geometry, geometric inference. More generally, I'm interested in the discretization of geometric variational and inverse problems.
Address: Département de Mathématiques Bâtiment 425Faculté des Sciences d'Orsay Université Paris-Sud
F-91405 Orsay Cedex
E-mail: Firstname.Lastname@math.u-psud.fr
Preprints
- An algorithm for optimal transport between a simplex soup and a point cloud
Quentin Mérigot, Jocelyn Meyron, Boris Thibert
Publications
- A Lagrangian scheme for the incompressible Euler equation using optimal transport
Thomas Gallouët, Quentin Mérigot
Foundation of Computational Mathematics (FOCM), accepted - Convergence of a Newton algorithm for semi-discrete optimal transport
Jun Kitagawa, Quentin Mérigot, Boris Thibert
Journal of the European Math Society (JEMS), accepted - Minimal geodesics along volume preserving maps, through semi-discrete optimal transport
Quentin Mérigot, Jean-Marie Mirebeau
SIAM J. Numerical Analysis (SINUM), 54(6), 3465–3492, 2016 [doi] - Discretization of functionals involving the Monge-Ampère operator
Jean-David Benamou, Guillaume Carlier, Quentin Mérigot, Édouard Oudet
Numerische Mathematik 134 (3), 611-636, 2016 [doi] - Far-field reflector problem and intersection of paraboloids
Pedro Machado Manhães de Castro, Quentin Mérigot, Boris Thibert
Numerische Mathematik 134 (2), 389-411, 2016 [doi] (also Proc. SoCG 2014 [doi]) - An optimal transport approach for seismic tomography: application to 3D FWI
Ludovic Métivier, Romain Brossier, Quentin Mérigot, Édouard Oudet, Jean Virieux
Inverse Problems, 32 (11), 2016 [doi] - Measuring the misfit between seismograms using an optimal transport distance: application to full waveform inversion
Ludovic Métivier, Romain Brossier, Quentin Mérigot, Édouard Oudet, Jean Virieux
Geophysical Journal International (GJI), 205 (1), 345-377, 2016 [doi] - Handling convexity-like constraints in variational problems
Quentin Mérigot, Édouard Oudet
SIAM Journal on Numerical Analysis (SINUM), 52 (5), 2466–2487, 2014 [doi]. - Robust Geometry Estimation using the Generalized Voronoi Covariance Measure
Louis Cuel, Jacques-Olivier Lachaud, Quentin Mérigot, Boris Thibert
SIAM Journal on Imaging Science (SIIMS), 8(2), 1293–1314, 2015 [doi]. - On the reconstruction of convex sets from random normals measurements
Hiba Abdallah, Quentin Mérigot
Discrete and Computational Geometry (DCG) 53(3), 569–586, 2015 (also Proc SoCG 2014) [doi] - Discrete optimal transport: complexity, geometry and applications
Quentin Mérigot, Édouard Oudet
Discrete and Computational Geometry (DCG), 55(2), 263–283, 2016 [doi] - Far-field reflector problem under design constraints
Julien André, Dominique Attali, Quentin Mérigot, Boris Thibert
Int. J. of Computational Geometry and Applications (IJCGA), 25 (2), 143-162, 2015 [doi]. - Lower bounds for k-distance approximation.
Quentin Mérigot
Proceedings of the 29th ACM Symposium on Computational Geometry, 2013 [doi] - Shape Matching via Quotient Spaces.
Maks Ovsjanikov, Quentin Mérigot, Viorica Pătrăucean, Leonidas Guibas
Computer Graphics Forum 32 (5) 1–11, 2013 (also Proc SGP 2013) [doi]. - Witnessed k-distance.
Leonidas Guibas, Quentin Mérigot, D. Morozov
Discrete and Computational Geometry (DCG), 49 (1) 22–45, 2013 (also Proc SoCG 2011) [doi]. - A multiscale approach to optimal transport.
Quentin Mérigot
Computer Graphics Forum 30 (5) 1583–1592, 2011 (also Proc SGP 2011) [doi]. - Size of the medial axis and stability of Federer’s curvature measures
Quentin Mérigot
In Optimal Transportation: Theory and Applications, London Mathematical Society Lecture Note Series 413, pp 288–306 [doi] - Geometric inference for probability measures.
Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot
Foundation of Computational Mathematics (FOCM) 11, 733-751 (2011) [doi]. - Boundary measures for geometric inference.
Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot
Foundatio of Computational Mathematics (FOCM)10, 221-240 (2010) [doi]. - Feature Preserving Mesh Generation from 3D Point Clouds.
Nader Salman, Mariette Yvinec, Quentin Mérigot
Computer Graphics Forum 29 (5) 1623–1632, 2010 (also Proc. SGP 2010) [doi]. - One Point Isometric Matching with the Heat Kernel.
Maks Ovsjanikov, Quentin Mérigot, Facundo Mémoli, Leonidas Guibas
Computer Graphics Forum 29 (5) 1555–1564, 2010 (also Proc. SGP 2010) [doi]. - Voronoi-based Curvature and Feature Estimation from Point Clouds.
Quentin Mérigot, Maks Ovsjanikov, Leonidas Guibas
IEEE Transactions on Visualization and Computer Graphics (TVCG) 17 (6) 743–756, 2011 [doi]. - Anosov AdS representations are quasi-Fuchsian.
Thierry Barbot, Quentin Mérigot
Groups, Geometry and Dynamics 6(3), 441-483 (2012) [doi].
Notes, thesis, surveys
- Inference of curvature using tubular neighborhoods,
Frédéric Chazal, David Cohen-Steiner, André Lieutier, Quentin Mérigot, Boris Thibert
Modern approaches to discrete curvature, Springer LNM, to appear - A comparison of two dual methods for discrete optimal transport.
Quentin Mérigot
Geometric Science of Information, Springer LNCS 8085, 389-396, 2013 [doi] - Geometric structure detection in point clouds
Thèse de doctorat, Université de Nice Sophia-Antipolis.
Events
- 6-7 décembre 2016: Première rencontre du projet ANR MAGA , "Transport optimal, équations de Monge-Ampère et applications", Inria Paris et IHÉS.
- 2 novembre 2015: Journées du groupe SMAI-SIGMA 2015, Institut Henri Poincaré.
- 16–20 décembre 2013: Journées de Géométrie Algorithmique 2013, CIRM.
- 3–4 octobre 2013: Journées transport optimal et modélisation, Grenoble.
- 27–30 mai 2013: Mini-symposium "Géométrie algorithmique et analyse géométrique de données", congrés SMAI 2013, Seignosses. Résumé des exposés.
- I launched and organized the working group Calculus of variations, geometry, image at Laboratoire Jean Kuntzmann in 2012--2013 and 2013--2014.