N. Amenta, S. Choi, and T. , 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

N. Amenta, S. Choi, and R. Kolluri, The power crust, unions of balls, and the medial axis transform, Computational Geometry, vol.19, issue.2-3, pp.127-153, 2001.
DOI : 10.1016/S0925-7721(01)00017-7

R. Chaine, A Geometric Convection Approach of 3-D Reconstruction, 1st Symposium on Geometry Processing, pp.218-229, 2003.
URL : https://hal.archives-ouvertes.fr/inria-00071898

F. Chazal, D. Cohen-steiner, and A. Lieutier, A Sampling Theory for Compacts in Euclidean Space, Proceedings of the 22nd ACM Symposium on Computational Geometry, 2006.

F. Chazal and A. Lieutier, The ?????-medial axis???, Graphical Models, vol.67, issue.4, pp.304-331, 2005.
DOI : 10.1016/j.gmod.2005.01.002

F. Chazal and A. Lieutier, Weak feature size and persistent homology, Proceedings of the twenty-first annual symposium on Computational geometry , SCG '05, pp.255-262, 2005.
DOI : 10.1145/1064092.1064132

F. Chazal and A. Lieutier, Stability and computation of topological invariants of solids in R n to appear in Discrete and Computational Geometry

D. Cohen-steiner, H. Edelsbrunner, and J. Harer, Stability of Persistence Diagram, Proc. 21th ACM Symposium of Computational Geometry, pp.263-271, 2005.

J. Cheeger, Critical Points of Distance Functions and Applications to Geometry, Geometric Topology: recent developments, pp.1504-1505, 1990.

F. H. Clarke, Optimization and NonSmooth Analysis, 1983.
DOI : 10.1137/1.9781611971309

D. Cohen-steiner, H. Edelsbrunner, and J. Harer, Stability of Persistence Diagrams, Proc. 21th ACM Sympos, pp.263-271, 2005.

T. K. Dey, E. A. Giesen, B. Ramos, and . Sadri, Critical points of the distance to an epsilon-sampling of a surface and flow-complex-based surface reconstruction, Proceedings of the twenty-first annual symposium on Computational geometry , SCG '05, pp.218-227, 2005.
DOI : 10.1145/1064092.1064126

T. K. Dey, G. Li, and J. , Sun Normal estimation for point clouds: a comparison study for a voronoi based method, Eurographics Symposium on Point-Based Graphics, 2005.

H. Edelsbrunner, Surface reconstruction by wrapping finite point sets in space, pp.379-404

H. Federer, Curvature measures, Transactions of the American Mathematical Society, vol.93, issue.3, p.418, 1959.
DOI : 10.1090/S0002-9947-1959-0110078-1

J. H. Fu, Tubular neighborhoods in Euclidean spaces, Duke Mathematical Journal, vol.52, issue.4, 1995.
DOI : 10.1215/S0012-7094-85-05254-8

J. Giesen and M. John, The flow complex: A data structure for geometric modeling, Proc. 14th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), pp.285-294, 2003.
DOI : 10.1016/j.comgeo.2007.01.002

K. Grove, Critical point theory for distance functions, Proc. of Symposia in Pure Mathematics, 1993.
DOI : 10.1090/pspum/054.3/1216630

K. Grove and K. Shiohama, A Generalized Sphere Theorem, The Annals of Mathematics, vol.106, issue.1, pp.201-211, 1977.
DOI : 10.2307/1971164

A. Lieutier, Any open bounded subset of has the same homotopy type as its medial axis, Computer-Aided Design, vol.36, issue.11, pp.1029-1046, 2004.
DOI : 10.1016/j.cad.2004.01.011

P. Niyogi, S. Smale, and S. Weinberger, Finding the Homology of Submanifolds with High Confidence from Random samples, p.6100

I. Unité-de-recherche, . Lorraine, . Loria, and . Technopôle-de-nancy, Brabois -Campus scientifique 615, rue du Jardin Botanique -BP 101 -54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l'Europe -38334 Montbonnot Saint-Ismier (France) Unité de recherche INRIA Rocquencourt, Domaine de Voluceau -Rocquencourt -BP 105 -78153 Le Chesnay Cedex (France) Unité de recherche INRIA Sophia Antipolis : 2004, route des Lucioles -BP 93 -06902 Sophia Antipolis Cedex

I. De-voluceau-rocquencourt, BP 105 -78153 Le Chesnay Cedex (France) http://www.inria.fr ISSN, pp.249-6399