N. Amenta and M. Bern, Surface reconstruction by Voronoi filtering. Discrete and Comp, Geom, vol.22, issue.4, pp.481-504, 1999.

N. Amenta, M. Bern, and D. Eppstein, The Crust and the ??-Skeleton: Combinatorial Curve Reconstruction, Graphical Models and Image Processing, vol.60, issue.2, pp.125-135, 1998.
DOI : 10.1006/gmip.1998.0465

N. Amenta, S. Choi, T. K. Dey, and N. Leekha, A simple algorithm for homeomorphic surface reconstruction, Proc. of the ACM-SIAM SODA, pp.213-222, 2000.

D. Attali, H. Edelsbrunner, and Y. Mileyko, Weak witnesses for Delaunay triangulations of submanifolds, Proceedings of the 2007 ACM symposium on Solid and physical modeling , SPM '07, pp.143-150, 2007.
DOI : 10.1145/1236246.1236267

J. Boissonnat and A. Ghosh, Manifold reconstruction using tangential Delaunay complexes, ACM SoCG, pp.324-333, 2010.
DOI : 10.1145/1810959.1811013

URL : https://hal.archives-ouvertes.fr/inria-00440337

J. Boissonnat and A. Ghosh, Manifold reconstruction using tangential Delaunay complexes, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00440337

J. Boissonnat, L. Guibas, and S. 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 and S. 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

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 Curves and Surfaces, pp.231-273, 2006.
DOI : 10.1007/978-3-540-33259-6_6

URL : https://hal.archives-ouvertes.fr/inria-00070609

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

S. Cheng, T. K. Dey, and E. A. Ramos, Manifold reconstruction from point samples, In ACM-SIAM SODA, pp.1018-1027, 2005.

V. Silva, A weak characterisation of the Delaunay triangulation, Geometriae Dedicata, vol.33, issue.2, pp.39-64, 2008.
DOI : 10.1007/s10711-008-9261-1

V. De-silva and G. Carlsson, Topological estimation using witness complexes, Proc. Sympos. Point-Based Graphics, pp.157-166, 2004.

S. Vin-de, A weak characterisation of the delaunay triangulation, Geometriae Dedicata, vol.135, issue.1, pp.39-64, 2008.

B. Delaunay, Sur la sphère vide, Otdelenie Matematicheskii i Estestvennyka Nauk, pp.793-800, 1934.

H. Federer, Curvature measures. Trans, pp.418-491, 1959.

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

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

L. J. Guibas and S. Y. Oudot, Reconstruction using witness complexes. Discrete and Comp, Geom, vol.40, pp.325-356, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00488434

J. R. Munkres, Elementary differential topology, 1968.

S. Y. Oudot, On the topology of the restricted Delaunay triangulation and witness complex in higher dimensions, 2006.
URL : https://hal.archives-ouvertes.fr/inria-00260861

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