Research · Teaching · Software Quentin Mérigot
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Affiliation: Équipe AN-EDP, Laboratoire de mathématiques d'Orsay, Université Paris-Sud

Research topics: Computational geometry, geometric inference, computational optimal transport. More generally, I'm interested in the discretization of geometric variational and inverse problems.

Address: Département de Mathématiques Bâtiment 425
Faculté des Sciences d'Orsay Université Paris-Sud
F-91405 Orsay Cedex E-mail: Firstname.Lastname@math.u-psud.fr

Preprints

  1. A Lagrangian scheme for the incompressible Euler equation using optimal transport
    Thomas Gallouët, Quentin Mérigot, 2016
  2. Convergence of a Newton algorithm for semi-discrete optimal transport
    Jun Kitagawa, Quentin Mérigot, Boris Thibert, 2016

Publications

  1. Minimal geodesics along volume preserving maps, through semi-discrete optimal transport
    Quentin Mérigot, Jean-Marie Mirebeau
    SIAM J. Numerical Analysis, to appear
  2. 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]
  3. 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])
  4. 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, 205 (1), 345-377, 2016 [doi]
  5. Handling convexity-like constraints in variational problems
    Quentin Mérigot, Édouard Oudet
    SIAM Journal on Numerical Analysis, 52 (5), 2466–2487, 2014 [doi].
  6. 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].
  7. On the reconstruction of convex sets from random normals measurements
    Hiba Abdallah, Quentin Mérigot
    Discrete and Computational Geometry 53(3), 569–586, 2015 (also Proc SoCG 2014) [doi]
  8. Discrete optimal transport: complexity, geometry and applications
    Quentin Mérigot, Édouard Oudet
    Discrete and Computational Geometry, 55(2), 263–283, 2016 [doi]
  9. 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].
  10. Lower bounds for k-distance approximation.
    Quentin Mérigot
    Proceedings of the 29th ACM Symposium on Computational Geometry, 2013 [doi]
  11. 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].
  12. Witnessed k-distance.
    Leonidas Guibas, Quentin Mérigot, D. Morozov
    Discrete and Computational Geometry, 49 (1) 22–45, 2013 (also Proc SoCG 2011) [doi].
  13. A multiscale approach to optimal transport.
    Quentin Mérigot
    Computer Graphics Forum 30 (5) 1583–1592, 2011 (also Proc SGP 2011) [doi].
  14. 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]
  15. Geometric inference for probability measures.
    Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot
    Foundations of Computational Mathematics 11, 733-751 (2011) [doi].
  16. Boundary measures for geometric inference.
    Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot
    Foundation of Computational Mathematics 10, 221-240 (2010) [doi].
  17. 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].
  18. 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].
  19. Voronoi-based Curvature and Feature Estimation from Point Clouds.
    Quentin Mérigot, Maks Ovsjanikov, Leonidas Guibas
    IEEE Transactions on Visualization and Computer Graphics 17 (6) 743–756, 2011 [doi].
  20. Anosov AdS representations are quasi-Fuchsian.
    Thierry Barbot, Quentin Mérigot
    Groups, Geometry and Dynamics 6(3), 441-483 (2012) [doi].

Notes, thesis, surveys

  1. A comparison of two dual methods for discrete optimal transport.
    Geometric Science of Information, LNCS 8085, 389-396, 2013 [doi]
    Quentin Mérigot
  2. Geometric structure detection in point clouds
    Thèse de doctorat, Université de Nice Sophia-Antipolis.

Events