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Quentin Mérigot
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Books and Theses
- 2009
- [b1]Quentin Mérigot:
Détection de structure géométrique dans les nuages de points. (Geometric structure detection in point clouds). University of Nice Sophia Antipolis, France, 2009
Journal Articles
- 2022
- [j21]Thomas O. Gallouët, Quentin Mérigot, Andrea Natale
:
Convergence of a Lagrangian Discretization for Barotropic Fluids and Porous Media Flow. SIAM J. Math. Anal. 54(3): 2990-3018 (2022) - 2020
- [j20]Hugo Leclerc, Quentin Mérigot
, Filippo Santambrogio
, Federico Stra
:
Lagrangian Discretization of Crowd Motion and Linear Diffusion. SIAM J. Numer. Anal. 58(4): 2093-2118 (2020) - 2018
- [j19]Thomas O. Gallouët, Quentin Mérigot:
A Lagrangian Scheme à la Brenier for the Incompressible Euler Equations. Found. Comput. Math. 18(4): 835-865 (2018) - [j18]Quentin Mérigot
, Jocelyn Meyron, Boris Thibert:
An Algorithm for Optimal Transport between a Simplex Soup and a Point Cloud. SIAM J. Imaging Sci. 11(2): 1363-1389 (2018) - [j17]Jocelyn Meyron, Quentin Mérigot, Boris Thibert:
Light in power: a general and parameter-free algorithm for caustic design. ACM Trans. Graph. 37(6): 224 (2018) - 2016
- [j16]Quentin Mérigot, Édouard Oudet:
Discrete Optimal Transport: Complexity, Geometry and Applications. Discret. Comput. Geom. 55(2): 263-283 (2016) - [j15]Pedro Machado Manhães de Castro, Quentin Mérigot, Boris Thibert:
Far-field reflector problem and intersection of paraboloids. Numerische Mathematik 134(2): 389-411 (2016) - [j14]Jean-David Benamou, Guillaume Carlier, Quentin Mérigot, Édouard Oudet:
Discretization of functionals involving the Monge-Ampère operator. Numerische Mathematik 134(3): 611-636 (2016) - [j13]Quentin Mérigot, Jean-Marie Mirebeau:
Minimal Geodesics Along Volume-Preserving Maps, Through Semidiscrete Optimal Transport. SIAM J. Numer. Anal. 54(6): 3465-3492 (2016) - 2015
- [j12]Hiba Abdallah, Quentin Mérigot:
On the Reconstruction of Convex Sets from Random Normal Measurements. Discret. Comput. Geom. 53(3): 569-586 (2015) - [j11]Julien André, Dominique Attali, Quentin Mérigot, Boris Thibert:
Far-Field Reflector Problem Under Design Constraints. Int. J. Comput. Geom. Appl. 25(2): 143- (2015) - [j10]Louis Cuel, Jacques-Olivier Lachaud, Quentin Mérigot, Boris Thibert:
Robust Geometry Estimation Using the Generalized Voronoi Covariance Measure. SIAM J. Imaging Sci. 8(2): 1293-1314 (2015) - 2014
- [j9]Quentin Mérigot, Édouard Oudet:
Handling Convexity-Like Constraints in Variational Problems. SIAM J. Numer. Anal. 52(5): 2466-2487 (2014) - 2013
- [j8]Maks Ovsjanikov, Quentin Mérigot, Viorica Patraucean, Leonidas J. Guibas:
Shape Matching via Quotient Spaces. Comput. Graph. Forum 32(5): 1-11 (2013) - [j7]Leonidas J. Guibas, Dmitriy Morozov, Quentin Mérigot:
Witnessed k-Distance. Discret. Comput. Geom. 49(1): 22-45 (2013) - 2011
- [j6]Quentin Mérigot:
A Multiscale Approach to Optimal Transport. Comput. Graph. Forum 30(5): 1583-1592 (2011) - [j5]Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot:
Geometric Inference for Probability Measures. Found. Comput. Math. 11(6): 733-751 (2011) - [j4]Quentin Mérigot, Maks Ovsjanikov, Leonidas J. Guibas:
Voronoi-Based Curvature and Feature Estimation from Point Clouds. IEEE Trans. Vis. Comput. Graph. 17(6): 743-756 (2011) - 2010
- [j3]Maks Ovsjanikov, Quentin Mérigot, Facundo Mémoli, Leonidas J. Guibas:
One Point Isometric Matching with the Heat Kernel. Comput. Graph. Forum 29(5): 1555-1564 (2010) - [j2]Nader Salman, Mariette Yvinec, Quentin Mérigot:
Feature Preserving Mesh Generation from 3D Point Clouds. Comput. Graph. Forum 29(5): 1623-1632 (2010) - [j1]Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot:
Boundary Measures for Geometric Inference. Found. Comput. Math. 10(2): 221-240 (2010)
Conference and Workshop Papers
- 2021
- [c8]Quentin Mérigot, Filippo Santambrogio, Clément Sarrazin:
Non-asymptotic convergence bounds for Wasserstein approximation using point clouds. NeurIPS 2021: 12810-12821 - 2020
- [c7]Quentin Mérigot, Alex Delalande, Frédéric Chazal:
Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space. AISTATS 2020: 3186-3196 - 2014
- [c6]Hiba Abdallah, Quentin Mérigot:
On the reconstruction of convex sets from random normal measurements. SoCG 2014: 300 - [c5]Pedro Machado Manhães de Castro, Quentin Mérigot, Boris Thibert:
Intersection of paraboloids and application to Minkowski-type problems. SoCG 2014: 308 - 2013
- [c4]Quentin Mérigot:
Lower bounds for k-distance approximation. SoCG 2013: 435-440 - [c3]Quentin Mérigot:
A Comparison of Two Dual Methods for Discrete Optimal Transport. GSI 2013: 389-396 - 2011
- [c2]Leonidas J. Guibas, Quentin Mérigot, Dmitriy Morozov:
Witnessed k-distance. SCG 2011: 57-64 - 2009
- [c1]Quentin Mérigot, Maks Ovsjanikov, Leonidas J. Guibas:
Robust Voronoi-based curvature and feature estimation. Symposium on Solid and Physical Modeling 2009: 1-12
Parts in Books or Collections
- 2014
- [p1]Quentin Mérigot:
Size of the medial axis and stability of Federer?s curvature measures. Optimal Transport 2014: 288
Informal and Other Publications
- 2022
- [i18]Anatole Gallouët, Quentin Mérigot, Boris Thibert:
Strong c-concavity and stability in optimal transport. CoRR abs/2207.11042 (2022) - [i17]Guillaume Carlier, Alex Delalande, Quentin Mérigot:
Quantitative Stability of Barycenters in the Wasserstein Space. CoRR abs/2209.10217 (2022) - 2021
- [i16]Anatole Gallouët, Quentin Mérigot, Boris Thibert:
A Damped Newton Algorithm for Generated Jacobian Equations. CoRR abs/2101.08080 (2021) - [i15]Cristian E. Gutiérrez, Qingbo Huang, Quentin Mérigot, Boris Thibert:
Metasurfaces and Optimal transport. CoRR abs/2104.05682 (2021) - [i14]Thomas O. Gallouët, Quentin Mérigot, Andrea Natale
:
Convergence of a Lagrangian discretization for barotropic fluids and porous media flow. CoRR abs/2105.12605 (2021) - 2020
- [i13]Quentin Mérigot, Boris Thibert:
Optimal transport: discretization and algorithms. CoRR abs/2003.00855 (2020) - 2019
- [i12]Quentin Mérigot, Alex Delalande, Frédéric Chazal:
Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space. CoRR abs/1910.05954 (2019) - 2017
- [i11]Quentin Mérigot, Jocelyn Meyron, Boris Thibert:
An algorithm for optimal transport between a simplex soup and a point cloud. CoRR abs/1707.01337 (2017) - [i10]Quentin Mérigot, Jocelyn Meyron, Boris Thibert:
Light in Power: A General and Parameter-free Algorithm for Caustic Design. CoRR abs/1708.04820 (2017) - 2016
- [i9]Jun Kitagawa, Quentin Mérigot, Boris Thibert:
A Newton algorithm for semi-discrete optimal transport. CoRR abs/1603.05579 (2016) - 2014
- [i8]Hiba Abdallah, Quentin Mérigot:
On the reconstruction of convex sets from random normal measurements. CoRR abs/1402.5010 (2014) - [i7]Pedro Machado Manhães de Castro, Quentin Mérigot, Boris Thibert:
Intersection of paraboloids and application to Minkowski-type problems. CoRR abs/1403.0062 (2014) - [i6]Jean-David Benamou, Guillaume Carlier, Quentin Mérigot, Édouard Oudet:
Discretization of functionals involving the Monge-Ampère operator. CoRR abs/1408.4536 (2014) - [i5]Louis Cuel, Jacques-Olivier Lachaud, Quentin Mérigot, Boris Thibert:
Robust Geometry Estimation using the Generalized Voronoi Covariance Measure. CoRR abs/1408.6210 (2014) - 2013
- [i4]Quentin Mérigot:
Lower bounds for k-distance approximation. CoRR abs/1303.5388 (2013) - 2011
- [i3]Leonidas J. Guibas, Quentin Mérigot, Dmitriy Morozov:
Witnessed k-Distance. CoRR abs/1102.4972 (2011) - 2010
- [i2]Quentin Mérigot:
Size of the medial axis and stability of Federer's curvature measures. CoRR abs/1001.2961 (2010) - 2007
- [i1]Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot:
Stability of boundary measures. CoRR abs/0706.2153 (2007)
Coauthor Index
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