Physics and Optimal transport
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Large scale semi-discrete optimal transport with distributed Voronoi diagrams, Bruno Lévy, 06/2024 [arXiv]
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Monge-Ampère gravity: from the large deviation principle to cosmological simulations
through optimal transport, Bruno Lévy, Yann Brenier, Roya Mohayaee, 10/2024, Physical Review D
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Displacement Field Analysis via Optimal Transport: Multi-Tracer Approach to Cosmological Reconstruction
, Farnik Nikakhtar, Ravi K. Sheth, Nikhil Padmanabhan, Bruno Lévy, Roya Mohayaee, 05/2024, Physical Review D
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Optimal Transport Reconstruction of Biased Tracers in Redshift Space , Farnik Nikakhtar, Nikhil Padmanabhan,
Bruno Lévy, Ravi K. Sheth, Roya Mohayaee, 09/2023, Physical Review D
- Optimal Transport Reconstruction of Baryon Acoustic Oscillations,
Farnik Nikakhtar, Ravi K. Sheth, Bruno Lévy and Roya Mohayaee, 2022, Physical Review Letters
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Accurate Baryon Acoustic Oscillations reconstruction via semi-discrete optimal transport,
Sebastian von Hausegger, B. Lévy and Roya Mohayaee, 2022, Physical Review Letters
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Partial Optimal Transport for a Constant-Volume Lagrangian Mesh with Free Boundaries,
B. Lévy, 2022, Journal of Computational Physics. [Videos]
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A fast semi-discrete optimal transport algorithm for a unique reconstruction of the early Universe
, B. Lévy, Roya Mohayaee and Sebastian von Hausegger, 2021, Monthly Notices of the Royal Astronomy Society
[arXiv] ,
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Notions of optimal transport theory and how to implement them on a computer,
B. Lévy and E. Schwindt, 2018, Computer and Graphics J.
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Centroidal Power Diagrams,
S. Xin, B. Lévy, Z. Chen, L. Chu, Y. Yue, W. Wang , 2016,
ACM Trans. on Graphics (SIGGRAPH ASIA)
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A numerical algorithm for L2 optimal transport,
B. Lévy, 2015, ESAIM Math. Modeling and Analysis
(previous version on arXiv)
Sampling and meshing
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Exact predicates, exact constructions and combinatorics for mesh CSG , B Lévy, 2024
- Restricted Power Diagrams on the GPU ,
J. Basselin, L. Alonso, N. Ray, D. Sokolov, S. Lefebvre and B. Lévy, 2021, Computer Graphics Forum
(Eurographics conf. proc.)
- Meshless Voronoi on the GPU,
N. Ray, D. Sokolov, S. Lefebvre and B. Lévy, 2018, ACM Transactions on Graphics (SIGASIA conf. proc.)
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Computing a high-dimensional euclidean embedding ,
Z. Zhong, W. Wang, Bruno Lévy, J. Hua, X. Guo, 2018,
ACM Trans. on Graphics (SIGGRAPH)
- Surface reconstruction by computing restricted Voronoi cells in parallel,
D. Boltcheva and B. Lévy, 2017, Computer-Aided design
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Anisotropic and feature sensitive triangular remeshing,
V. Nivoliers, B. Lévy and C. Geuzaine, 2015, J. of Computational and Applied Math
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Revisiting Optimal Delaunay Triangulation,
Z. Chen, W. Wang, B. Lévy, L. Liu and F. Sun, 2014, SIAM J. on Sci. Computing
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Particle-Based Anisotropic Surface Meshing,
Z. Zhong, X. Guo, W. Wang, B. Lévy, F. Sun,
Y. Liu and W. Mao, 2013, ACM Trans. on Graphics (SIGGRAPH)
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On Centroidal Voronoi Diagrams Y. Liu, W. Wang, B. Lévy, F. Sun, D.-M. Yan,
L. Lu and C. Yang, 2009, ACM Trans. on Graphics
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Voronoi Parallel Linear Enumeration, B. Lévy and N. Bonneel, 2012, Int. Meshing Roundatble
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Hexahedral meshing
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Hex-dominant meshing: mind the gap,
N. Ray, D. Sokolov, M. Reberol, F. Ledoux, B. Lévy,
2018, Computer-Aided Design
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Hexahedral-dominant meshing,
D. Sokolov, N. Ray, L. Untereiner, B. Lévy, 2016, ACM Trans. on Graphics
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Practical Frame Field Generation,
D. Sokolov, N. Ray, B. Lévy, 2016, ACM Trans. on Graphics (SIGGRAPH ASIA)
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Dihedral Angle Maps,
G.-P. Paillé, N. Ray, P. Poulin, A. Sheffer and B. Lévy, 2015, ACM Trans. on Graphics (SIGGRAPH)
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Voronoi Squared Distance Minimization,
V. Nivoliers, D.-M. Yan and B. Lévy, 2011, Intl. Meshing Roundtable
- Lp centroidal Voronoi Tessellation,
B. Lévy and Y. Liu, 2010, ACM Trans. on Graphics (SIGGRAPH)
[Recorded talk]
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Geometry-aware direction field processing,
N. Ray, B. Vallet, L. Alonso and B. Lévy, 2009, ACM Trans. on Graphics
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N-Symmetry Direction Field Design,
2008, N. Ray, B. Vallet, W.-C. Liu and B. Lévy, 2008, ACM Trans. on Graphics
Theses
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