N. Amenta and M. Bern, Surface Reconstruction by Voronoi Filtering, Discrete & Computational Geometry, vol.22, issue.4, pp.481-504, 1999.
DOI : 10.1007/PL00009475

N. Amenta, S. Choi, T. K. Dey, and N. Leekha, A SIMPLE ALGORITHM FOR HOMEOMORPHIC SURFACE RECONSTRUCTION, International Journal of Computational Geometry & Applications, vol.12, issue.01n02, pp.125-141, 2002.
DOI : 10.1142/S0218195902000773

F. Aurenhammer, Power Diagrams: Properties, Algorithms and Applications, SIAM Journal on Computing, vol.16, issue.1, pp.78-96, 1987.
DOI : 10.1137/0216006

M. Belkin and P. Niyogi, Laplacian eigenmaps and spectral techniques for embedding and clustering, Advances in Neural Information Processing Systems, pp.585-591, 2002.

M. Belkin, J. Sun, and Y. Wang, Discrete laplace operator on meshed surfaces, Proceedings of the twenty-fourth annual symposium on Computational geometry , SCG '08, pp.278-287, 2008.
DOI : 10.1145/1377676.1377725

J. Boissonnat and J. Flötotto, 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, L. J. Guibas, and S. Y. Oudot, Manifold Reconstruction in Arbitrary Dimensions Using Witness Complexes, Discrete & Computational Geometry, vol.33, issue.2, pp.37-70, 2009.
DOI : 10.1007/s00454-009-9175-1

URL : https://hal.archives-ouvertes.fr/hal-00488434

J. Boissonnat, F. Nielsen, and R. Nock, Bregman Voronoi Diagrams, Discrete & Computational Geometry, vol.12, issue.2, pp.281-307, 2010.
DOI : 10.1007/s00454-010-9256-1

URL : https://hal.archives-ouvertes.fr/hal-00488441

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

J. Boissonnat and M. Yvinec, Algorithmic geometry, 1998.
DOI : 10.1017/CBO9781139172998

G. E. Bredon, Topology and Geometry, 1993.
DOI : 10.1007/978-1-4757-6848-0

G. Carlsson, T. Ishkhanov, V. De-silva, and A. Zomorodian, On the Local Behavior of Spaces of Natural Images, International Journal of Computer Vision, vol.265, issue.4, pp.1-12, 2008.
DOI : 10.1007/s11263-007-0056-x

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

F. Chazal and A. Lieutier, Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees, Computational Geometry, vol.40, issue.2, pp.156-170, 2008.
DOI : 10.1016/j.comgeo.2007.07.001

URL : https://hal.archives-ouvertes.fr/hal-00864487

F. Chazal and S. Y. Oudot, Towards persistence-based reconstruction in euclidean spaces, Proceedings of the twenty-fourth annual symposium on Computational geometry , SCG '08, pp.232-241, 2008.
DOI : 10.1145/1377676.1377719

URL : https://hal.archives-ouvertes.fr/inria-00197543

B. Chazelle, An optimal convex hull algorithm in any fixed dimension, Discrete & Computational Geometry, vol.16, issue.4, pp.377-409, 1993.
DOI : 10.1007/BF02573985

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

S. Cheng, Y. Wang, and Z. Wu, PROVABLE DIMENSION DETECTION USING PRINCIPAL COMPONENT ANALYSIS, International Journal of Computational Geometry & Applications, vol.18, issue.05, pp.415-440, 2008.
DOI : 10.1142/S0218195908002702

K. L. Clarkson and P. W. Shor, Applications of random sampling in computational geometry, II, Discrete & Computational Geometry, vol.1, issue.5, pp.387-421, 1989.
DOI : 10.1007/BF02187740

D. Cohen-steiner and T. K. Da, A greedy Delaunay Based Surface Reconstruction Algorithm. The Visual Computer, pp.4-16, 2004.
URL : https://hal.archives-ouvertes.fr/inria-00072024

T. K. Dey, Curve and Surface Reconstruction: Algorithms with Mathematical Analysis, 2006.
DOI : 10.1017/CBO9780511546860

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

J. Flötotto, A coordinate system associated to a point cloud issued from a manifold: definition, properties and applications, 2003.

D. Freedman, Efficient simplicial reconstructions of manifolds from their samples, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.24, issue.10, 2002.
DOI : 10.1109/TPAMI.2002.1039206

J. H. Fu, Convergence of curvatures in secant approximations, Journal of Differential Geometry, vol.37, issue.1, pp.117-190, 1993.
DOI : 10.4310/jdg/1214453427

S. Funke and E. Ramos, Smooth-surface reconstruction in near-linear time, Proc. ACM-SIAM Symp. Discrete Algorithms, pp.781-780, 2002.

J. Giesen and U. Wagner, Shape Dimension and Intrinsic Metric from Samples of Manifolds, Discrete & Computational Geometry, vol.32, issue.2, pp.245-267, 2004.
DOI : 10.1007/s00454-004-1120-8

M. Gopi, S. Khrisnan, and C. T. Silva, Surface Reconstruction based on Lower Dimensional Localized Delaunay Triangulation, Proc. Eurographics, pp.363-371, 2000.
DOI : 10.1111/1467-8659.00439

A. Hatcher, Algebraic Topology, 2002.

M. W. Hirsh, Differential Topology, 1976.
DOI : 10.1007/978-1-4684-9449-5

D. D. and C. Grimes, Hessian eigenmaps: new locally linear embedding techniques for high dimensional data, Proceedings of the Natural Academy of Sciences, pp.5591-5596, 2003.

S. Lafon and A. B. Lee, Diffusion maps and coarse-graining: a unified framework for dimensionality reduction, graph partitioning, and data set parameterization, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.28, issue.9, pp.1393-1403, 2006.
DOI : 10.1109/TPAMI.2006.184

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

W. S. Massey, Algebraic Topology : An Introduction, GTM, vol.56, 1967.

B. Nadler, S. Lafon, R. R. Coifman, and I. G. Kevrekidis, Diffusion maps, spectral clustering and eigenfunctions of fokker-planck operators, Neural Information Processing Systems, 2005.

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

S. T. Roweis and L. K. Saul, Nonlinear Dimensionality Reduction by Locally Linear Embedding, Science, vol.290, issue.5500, pp.2323-2326, 2000.
DOI : 10.1126/science.290.5500.2323

H. S. Seung and D. D. Lee, COGNITION: The Manifold Ways of Perception, Science, vol.290, issue.5500, pp.2268-2269, 2000.
DOI : 10.1126/science.290.5500.2268

J. Shewchuk, Star splaying, Proceedings of the twenty-first annual symposium on Computational geometry , SCG '05, pp.237-246, 2005.
DOI : 10.1145/1064092.1064129

J. B. Tenenbaum, V. De-silva, and J. C. Langford, A Global Geometric Framework for Nonlinear Dimensionality Reduction, Science, vol.290, issue.5500, pp.2319-2323, 2000.
DOI : 10.1126/science.290.5500.2319

H. Whitney, Geometric Integration Theory, 1957.
DOI : 10.1515/9781400877577

Z. Zhang and H. Zha, Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment, SIAM Journal on Scientific Computing, vol.26, issue.1, pp.313-338, 2004.
DOI : 10.1137/S1064827502419154