F. Aurenhammer and R. Klein, Voronoi diagrams In Handbook of Computational Geometry, pp.201-290, 2000.

J. Boissonnat, R. Dyer, and A. Ghosh, Delaunay Triangulation of Manifolds, Foundations of Computational Mathematics, vol.45, issue.2, pp.1-33, 2017.
DOI : 10.1007/s10208-017-9344-1

URL : https://hal.archives-ouvertes.fr/hal-00879133

J. Boissonnat, R. Dyer, A. Ghosh, and S. Oudot, Equating the witness and restricted Delaunay complexes, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00772486

J. Boissonnat, R. Dyer, A. Ghosh, and S. Oudot, Only distances are required to reconstruct submanifolds, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01096798

J. Boissonnat, R. Dyer, A. Ghosh, and S. Y. Oudot, Only distances are required to reconstruct submanifolds, Comp. Geom. Theory and Appl, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01096798

J. Boissonnat, C. Wormser, Y. , and M. , Anisotropic Delaunay Mesh Generation, SIAM Journal on Computing, vol.44, issue.2, pp.467-512, 2015.
DOI : 10.1137/140955446

URL : https://hal.archives-ouvertes.fr/inria-00615486

M. Campen, M. Heistermann, and L. Kobbelt, Practical Anisotropic Geodesy, Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing SGP '13, Eurographics Association, pp.63-71, 2013.
DOI : 10.1111/cgf.12173

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.673.5592

G. D. Cañas and S. J. Gortler, Orphan-Free Anisotropic Voronoi Diagrams, Discrete & Computational Geometry, vol.15, issue.3, 2011.
DOI : 10.1007/s00454-011-9372-6

G. D. Cañas and S. J. Gortler, Duals of orphan-free anisotropic voronoi diagrams are embedded meshes, Proceedings of the 2012 symposuim on Computational Geometry, SoCG '12, pp.219-228, 2012.
DOI : 10.1145/2261250.2261283

T. Cao, H. Edelsbrunner, and T. Tan, Proof of correctness of the digital Delaunay triangulation algorithm, Comp. Geo.: Theory and Applications, vol.48, 2015.

S. Cheng, T. K. Dey, E. A. Ramos, and R. Wenger, Anisotropic surface meshing, Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm , SODA '06, pp.202-211, 2006.
DOI : 10.1145/1109557.1109581

D. Azevedo, E. F. Simpson, and R. B. , On optimal interpolation triangle incidences, SIAM J. Sci. Statist. Comput, vol.10, pp.6-1063, 1989.

T. K. Dey, F. Fan, W. , and Y. , Graph induced complex on point data, Computational Geometry, vol.48, issue.8, pp.575-588, 2015.
DOI : 10.1016/j.comgeo.2015.04.003

URL : http://arxiv.org/abs/1304.0662

Q. Du, W. , and D. , Anisotropic Centroidal Voronoi Tessellations and Their Applications, SIAM Journal on Scientific Computing, vol.26, issue.3, pp.737-761, 2005.
DOI : 10.1137/S1064827503428527

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.112.1094

R. Dyer, G. Vegter, and M. Wintraecken, Riemannian simplices and triangulations, Geometriae Dedicata, vol.41, issue.4
DOI : 10.1007/s10711-015-0069-5

URL : http://arxiv.org/abs/1406.3740

R. Dyer, H. Zhang, and T. Möller, Surface sampling and the intrinsic Voronoi diagram, Computer Graphics Forum, vol.32, issue.3, pp.1393-1402, 2008.
DOI : 10.1111/j.1467-8659.2008.01279.x

S. Funke, C. Klein, K. Mehlhorn, and S. Schmitt, Controlled perturbation for delaunay triangulations, Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms Society for Industrial and Applied Mathematics, pp.1047-1056, 2005.

M. Garland and P. S. Heckbert, Surface simplification using quadric error metrics, Proceedings of the 24th annual conference on Computer graphics and interactive techniques , SIGGRAPH '97, pp.209-216, 1997.
DOI : 10.1145/258734.258849

URL : http://cdserver.icemt.iastate.edu/cd/s97cp/contents/papers/garland/quadrics.pdf

H. Karcher, Riemannian center of mass and mollifier smoothing, Communications on Pure and Applied Mathematics, vol.3, issue.5, pp.509-541, 1977.
DOI : 10.1002/cpa.3160300502

F. Labelle and J. R. Shewchuk, Anisotropic voronoi diagrams and guaranteed-quality anisotropic mesh generation, Proceedings of the nineteenth conference on Computational geometry , SCG '03, pp.191-200, 2003.
DOI : 10.1145/777792.777822

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.376

G. Leibon, Random Delaunay triangulations, the Thurston-Andreev theorem, and metric uniformization, 1999.

J. Mirebeau, Optimal Meshes for Finite Elements of Arbitrary Order, Constructive approximation 32, pp.339-383, 2010.
DOI : 10.1007/s00365-010-9090-y

P. Niyogi, S. Smale, and S. Weinberger, Finding the homology of submanifolds with high confidence from random samples, Discrete & Comp. Geom, vol.39, pp.1-3, 2008.

G. Peyré, M. Péchaud, R. Keriven, and L. D. Cohen, Geodesic methods in computer vision and graphics. Found. Trends, Comput. Graph. Vis, 2010.

C. Rourke and B. Sanderson, Introduction to piecewise-linear topology, 2012.
DOI : 10.1007/978-3-642-81735-9

M. Rouxel-labbé, M. Wintraecken, and J. Boissonnat, Discretized Riemannian Delaunay Triangulations, Proc. of the 25th Intern, 2016.
DOI : 10.1016/j.proeng.2016.11.026

J. Shewchuk, What is a good linear finite element? Interpolation, conditioning, anisotropy, and quality measures

E. Sperner, Fifty years of further development of a combinatorial lemma. Numerical solution of highly nonlinear problems, pp.183-197, 1980.