Physics and Optimal transport

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

Accurate Baryon Acoustic Oscillations reconstruction via semidiscrete optimal transport,
Sebastian von Hausegger, B. Lévy and Roya Mohayaee, 2022, Physical Review Letters

Partial Optimal Transport for a ConstantVolume Lagrangian Mesh with Free Boundaries,
B. Lévy, 2022, Journal of Computational Physics. [Videos]

A fast semidiscrete 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] ,

Notions of optimal transport theory and how to implement them on a computer,
B. Lévy and E. Schwindt, 2018, Computer and Graphics J.

Centroidal Power Diagrams,
S. Xin, B. Lévy, Z. Chen, L. Chu, Y. Yue, W. Wang , 2016,
ACM Trans. on Graphics (SIGGRAPH ASIA)

A numerical algorithm for L2 optimal transport,
B. Lévy, 2015, ESAIM Math. Modeling and Analysis
(previous version on arXiv)
Sampling and meshing
 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.)

Computing a highdimensional 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, ComputerAided design

Anisotropic and feature sensitive triangular remeshing,
V. Nivoliers, B. Lévy and C. Geuzaine, 2015, J. of Computational and Applied Math

Revisiting Optimal Delaunay Triangulation,
Z. Chen, W. Wang, B. Lévy, L. Liu and F. Sun, 2014, SIAM J. on Sci. Computing

ParticleBased Anisotropic Surface Meshing,
Z. Zhong, X. Guo, W. Wang, B. Lévy, F. Sun,
Y. Liu and W. Mao, 2013, ACM Trans. on Graphics (SIGGRAPH)

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

Voronoi Parallel Linear Enumeration, B. Lévy and N. Bonneel, 2012, Int. Meshing Roundatble

Hexahedral meshing

Hexdominant meshing: mind the gap,
N. Ray, D. Sokolov, M. Reberol, F. Ledoux, B. Lévy,
2018, ComputerAided Design

Hexahedraldominant meshing,
D. Sokolov, N. Ray, L. Untereiner, B. Lévy, 2016, ACM Trans. on Graphics

Practical Frame Field Generation,
D. Sokolov, N. Ray, B. Lévy, 2016, ACM Trans. on Graphics (SIGGRAPH ASIA)

Dihedral Angle Maps,
G.P. Paillé, N. Ray, P. Poulin, A. Sheffer and B. Lévy, 2015, ACM Trans. on Graphics (SIGGRAPH)

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]

Geometryaware direction field processing,
N. Ray, B. Vallet, L. Alonso and B. Lévy, 2009, ACM Trans. on Graphics

NSymmetry Direction Field Design,
2008, N. Ray, B. Vallet, W.C. Liu and B. Lévy, 2008, ACM Trans. on Graphics
Theses
