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hal-02325618v1  Journal articles
Ludovic Métivier, Romain Brossier, Quentin Merigot, Edouard Oudet. A graph space optimal transport distance as a generalization of Lp distances: application to a seismic imaging inverse problem
Inverse Problems, IOP Publishing, 2019, 35 (8), pp.085001. ⟨10.1088/1361-6420/ab206f⟩
hal-02071768v1  Journal articles
Thierry Barbot, Quentin Merigot. Anosov AdS representations are quasi-Fuchsian
Groups Geometry and Dynamics, European Mathematical Society, 2012, 6 (3), pp.441-483. ⟨10.4171/GGD/163⟩
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tel-00443038v2  Theses
Quentin Merigot. Détection de structure géométrique dans les nuages de points
Mathématiques [math]. Université Nice Sophia Antipolis, 2009. Français
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hal-00980195v1  Journal articles
Quentin Merigot, Edouard Oudet. Discrete optimal transport: complexity, geometry and applications
Discrete and Computational Geometry, Springer Verlag, 2016, 55 (2), pp.263-283. ⟨10.1007/s00454-016-9757-7⟩
hal-00772444v1  Journal articles
Frédéric Chazal, David Cohen-Steiner, Quentin Merigot. Geometric Inference for Probability Measures
Foundations of Computational Mathematics, Springer Verlag, 2011, 11 (6), pp.733-751. ⟨10.1007/s10208-011-9098-0⟩
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hal-01290496v1  Preprints, Working Papers, ...
Jun Kitagawa, Quentin Merigot, Boris Thibert. Convergence of a Newton algorithm for semi-discrete optimal transport
2016
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inria-00154798v2  Reports
Frédéric Chazal, David Cohen-Steiner, Quentin Merigot. Stability of boundary measures
[Research Report] RR-6219, INRIA. 2007, pp.20
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inria-00383685v2  Journal articles
Frédéric Chazal, David Cohen-Steiner, Quentin Merigot. Geometric Inference for Measures based on Distance Functions
Foundations of Computational Mathematics, Springer Verlag, 2011, 11 (6), pp.733-751. ⟨10.1007/s10208-011-9098-0⟩
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hal-01152168v2  Journal articles
Quentin Merigot, Jean-Marie Mirebeau. Minimal geodesics along volume preserving maps, through semi-discrete optimal transport
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2016, 54 (6), pp.3465-3492. ⟨10.1137/15M1017235⟩
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hal-00952720v1  Journal articles
Pedro Machado Manhães de Castro, Quentin Merigot, Boris Thibert. Far-field reflector problem and intersection of paraboloids
Numerische Mathematik, Springer Verlag, 2016, 134 (2), pp.389-411. ⟨10.1007/s00211-015-0780-z⟩
hal-02315998v1  Conference papers
Quentin Merigot, Alex Delalande, Frédéric Chazal. Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space
AISTATS 2020 - 23rd International Conference on Artificial Intelligence and Statistics, Aug 2020, Palermo /Online, Italy. pp.3186-3196
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hal-01425558v1  Book sections
Frédéric Chazal, David Cohen-Steiner, André Lieutier, Quentin Merigot, Boris Thibert. Inference of curvature using tubular neighborhoods
L. Najman; P. Romon. Lecture Notes in Mathematics, 2184, Springer, pp.133-158, 2017, Modern Approaches to Discrete Curvature, 978-3-319-58001-2. ⟨10.1007/978-3-319-58002-9_4⟩
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hal-00543885v1  Journal articles
Maks Ovsjanikov, Quentin Merigot, Facundo Mémoli, Leonidas J. Guibas. One Point Isometric Matching with the Heat Kernel
Computer Graphics Forum, Wiley, 2010, 29 (5), pp.1555-1564. ⟨10.1111/j.1467-8659.2010.01764.x⟩
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inria-00406575v2  Journal articles
Quentin Merigot, Maks Ovsjanikov, Leonidas J. Guibas. Voronoi-Based Curvature and Feature Estimation from Point Clouds
IEEE Transactions on Visualization and Computer Graphics, Institute of Electrical and Electronics Engineers, 2011, 17 (6), pp.743 - 756. ⟨10.1109/TVCG.2010.261⟩
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hal-01570739v2  Journal articles
Jocelyn Meyron, Quentin Merigot, Boris Thibert. Light in Power: A General and Parameter-free Algorithm for Caustic Design
ACM Transactions on Graphics, Association for Computing Machinery, 2018, 37 (6), pp.1-13. ⟨10.1145/3272127.3275056⟩
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hal-03116036v1  Reports
Anatole Gallouët, Quentin Merigot, Boris Thibert. A damped Newton algorithm for generated Jacobian equations
[Research Report] Université Grenoble Alpes; Université Paris Sud. 2021
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hal-02494446v1  Preprints, Working Papers, ...
Quentin Merigot, Boris Thibert. Optimal transport: discretization and algorithms
2020
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hal-03164147v1  Preprints, Working Papers, ...
Alex Delalande, Quentin Merigot. Quantitative Stability of Optimal Transport Maps under Variations of the Target Measure
2021
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inria-00497632v1  Conference papers
Nader Salman, Mariette Yvinec, Quentin Merigot. Feature Preserving Mesh Generation from 3D Point Clouds
Computer Graphics Forum, Jul 2010, Lyon, France. pp.1623-1632