U. Abresch and W. T. Meyer, Injectivity Radius Estimates and Sphere Theorems, Comparison Geometry. Mathematical Sciences Research Institute (MSRI) Publications, 1997.

N. Amenta, S. Choi, T. K. Dey, and N. Leekha, A Simple Algorithm for Homeomorphic Surface Reconstruction, Internat. Journal of Comput

M. Berger, Geometry 2. Universitext, 1990.

P. Bhaniramka, R. Wenger, and R. Crawfis, Isosurface construction in any dimension using convex hulls, IEEE Transactions on Visualization and Computer Graphics, vol.10, issue.2, pp.130-144, 2004.
DOI : 10.1109/TVCG.2004.1260765

J. Boissonnat, J. Flototto, and J. , A coordinate system associated with points scattered on a surface, Computer-Aided Design, vol.36, issue.2, pp.161-174, 2004.
DOI : 10.1016/S0010-4485(03)00059-9

J. Boissonnat and A. Ghosh, Manifold Reconstruction using Tangential Delaunay Complexes, Proc. 26th Annual Symposium on Computational Geometry, 2010.
DOI : 10.1145/1810959.1811013
URL : https://hal.archives-ouvertes.fr/inria-00440337

J. Boissonnat and S. Y. Oudot, Provably good sampling and meshing of surfaces, Graphical Models, vol.67, issue.5, pp.405-451, 2005.
DOI : 10.1016/j.gmod.2005.01.004
URL : https://hal.archives-ouvertes.fr/hal-00488829

J. Boissonnat and S. Y. Oudot, Provably good sampling and meshing of Lipschitz surfaces, Proceedings of the twenty-second annual symposium on Computational geometry , SCG '06, pp.337-346, 2006.
DOI : 10.1145/1137856.1137906

J. Boissonnat, C. Wormser, and M. Yvinec, Locally uniform anisotropic meshing, Proceedings of the twenty-fourth annual symposium on Computational geometry , SCG '08, pp.270-277, 2008.
DOI : 10.1145/1377676.1377724
URL : https://hal.archives-ouvertes.fr/inria-00275430

S. S. Cairns, A simple triangulation method for smooth manifolds, Bulletin of the American Mathematical Society, vol.67, issue.4, pp.389-390, 1961.
DOI : 10.1090/S0002-9904-1961-10631-9

F. Cazals and J. Giesen, Delaunay Triangulation Based Surface Reconstruction, Effective Computational Geometry for Curve and Surfaces, 2006.
DOI : 10.1007/978-3-540-33259-6_6
URL : https://hal.archives-ouvertes.fr/inria-00070609

J. Cheeger, M. Gromov, and M. Taylor, Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds, Journal of Differential Geometry, vol.17, issue.1, pp.15-53, 1982.
DOI : 10.4310/jdg/1214436699

S. Cheng, T. K. Dey, and E. A. Ramos, Manifold Reconstruction from Point Samples, Proc. of ACM-SIAM Symp. Discrete Algorithms, pp.1018-1027, 2005.

L. P. Chew, Guaranteed-Quality Delaunay Meshing in 3D, Proc. ACM Symp. on Computational Geometry, pp.391-393, 2006.

K. Clarkson, Building triangulations using ??-nets, Proceedings of the thirty-eighth annual ACM symposium on Theory of computing , STOC '06, pp.326-335, 2006.
DOI : 10.1145/1132516.1132564

T. K. Dey and K. Li, Topology from Data via Geodesic complexes, 2009.

R. M. Dudley, Metric entropy of some classes of sets with differentiable boundaries, Journal of Approximation Theory, vol.10, issue.3, pp.227-236, 1974.
DOI : 10.1016/0021-9045(74)90120-8

H. Edelsbrunner, Geometry and Topology for Mesh Generation, 2001.

H. Federer, Curvature Measures. Transactions of the, pp.418-491, 1959.
DOI : 10.1090/s0002-9947-1959-0110078-1

H. Federer, Geometric measure theory, 1969.
DOI : 10.1007/978-3-642-62010-2

J. H. Fu, Convergence of curvatures in secant approximations, Journal of Differential Geometry, vol.37, issue.1, pp.177-190, 1993.
DOI : 10.4310/jdg/1214453427

J. Giesen and U. Wagner, Shape Dimension and Intrinsic Metric from Samples of Manifolds, Proc. of ACM Symp. on Computational Geometry, pp.329-337, 2003.
DOI : 10.1007/s00454-004-1120-8

P. M. Gruber, Asymptotic estimates for best and stepwise approximation of convex bodies I, Forum Mathematicum, vol.5, issue.5, pp.281-297, 1993.
DOI : 10.1515/form.1993.5.281

P. M. Gruber, Optimum quantization and its applications, Advances in Mathematics, vol.186, issue.2, pp.456-497, 2004.
DOI : 10.1016/j.aim.2003.07.017
URL : http://doi.org/10.1016/j.aim.2003.07.017

M. E. Henderson, MULTIPLE PARAMETER CONTINUATION: COMPUTING IMPLICITLY DEFINED k-MANIFOLDS, International Journal of Bifurcation and Chaos, vol.12, issue.03, pp.451-476, 2002.
DOI : 10.1142/S0218127402004498

G. K. Kamenev, The initial convergence rate of adaptive methods for polyhedral approximation of convex bodies, Computational Mathematics and Mathematical Physics, vol.48, issue.5, pp.724-738, 2008.
DOI : 10.1134/S0965542508050035

X. Li, Generating well-shaped d-dimensional Delaunay Meshes, Theoretical Computer Science, vol.296, issue.1, pp.145-165, 2003.
DOI : 10.1016/S0304-3975(02)00437-1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.8524

C. Min, Simplicial isosurfacing in arbitrary dimension and codimension, Journal of Computational Physics, vol.190, issue.1, pp.295-310, 2003.
DOI : 10.1016/S0021-9991(03)00275-4

P. Niyogi, S. Smale, and S. Weinberger, Finding the Homology of Submanifolds with High Confidence from??Random??Samples, Discrete & Computational Geometry, vol.33, issue.11, pp.419-441, 2008.
DOI : 10.1007/s00454-008-9053-2

G. Peyré and L. Cohen, Geodesic Computations for Fast and Accurate Surface Remeshing and Parameterization, Progress in Nonlinear Differential Equations and Their Applications, pp.157-171, 2005.
DOI : 10.1007/3-7643-7384-9_18

J. Ruppert, A Delaunay Refinement Algorithm for Quality 2-Dimensional Mesh Generation, Journal of Algorithms, vol.18, issue.3, pp.548-585, 1995.
DOI : 10.1006/jagm.1995.1021

J. H. Whitehead, On C 1 -Complexes, The Annals of Mathematics, vol.41, issue.4, pp.809-824, 1940.
DOI : 10.2307/1968861

H. Whitney, Geometric Integration Theory, route des Lucioles -BP 93 -06902 Sophia, 1957.
DOI : 10.1515/9781400877577