M. [. Amenta and . Bern, Surface Reconstruction by Voronoi Filtering, Discrete & Computational Geometry, vol.22, issue.4, pp.481-504, 1999.
DOI : 10.1007/PL00009475
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.71

J. Abco-+-01-]-m.-alexa, D. Behr, S. Cohen-or, D. Fleishman, C. Levin et al., Point set surfaces, IEEE, 2001.

N. Amenta, S. Choi, T. K. Dey, and N. Leekha, A simple algorithm for homeomorphic surface reconstruction, Proc. 16th Annu. Sympos, pp.213-222, 2000.

[. Boissonnat and F. Cazals, Smooth surface reconstruction via natural neighbour interpolation of distance functions, Conf. version: ACM Sympos. Comput. Geom.'00, pp.185-203, 2002.
DOI : 10.1016/S0925-7721(01)00048-7
URL : https://hal.archives-ouvertes.fr/inria-00072662

]. Boi84 and . Boissonnat, Geometric structures for three-dimensional shape representation, ACM Trans. Graph, vol.3, issue.4, pp.266-286, 1984.

R. J. Carr, J. Beatson, T. Cherrie, T. Mitchell, B. Fright et al., Reconstruction and representation of 3D objects with radial basis functions, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, 2001.
DOI : 10.1145/383259.383266

I. Chazal, D. Cohen-steiner, and A. Lieutier, A sampling theory for compacts in Euclidean spaces, ACM Symp. Comp. Geometry, pp.319-326, 2006.

[. Chambelland, M. Dassot, B. Adam, N. Donès, P. Balandier et al., ), Functional Plant Biology, vol.35, issue.10, pp.1059-1069, 2008.
DOI : 10.1071/FP08051

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

]. R. Cha03 and . Chaine, A convection geometric-based approach to surface reconstruction, Symp. Geometry Processing, pp.218-229, 2003.

A. [. Cazals, S. Parameswaran, and . Pion, Robust construction of the three-dimensional flow complex, Proceedings of the twenty-fourth annual symposium on Computational geometry , SCG '08, pp.182-191, 2008.
DOI : 10.1145/1377676.1377705
URL : https://hal.archives-ouvertes.fr/inria-00344962

F. [. Cohen-steiner and . Da, A greedy delaunay based surface reconstruction algorithm. The Visual Computer, pp.4-16, 2004.
URL : https://hal.archives-ouvertes.fr/inria-00072024

J. [. Dey, M. Giesen, and . John, Alpha-shapes and flow shapes are homotopy equivalent, Proceedings of the thirty-fifth ACM symposium on Theory of computing , STOC '03, pp.493-501, 2003.
DOI : 10.1145/780542.780614
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.562.7081

J. [. Dey, E. 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.29-61, 2008.
DOI : 10.1145/1064092.1064126

D. [. Edelsbrunner, A. Letscher, and . Zomorodian, Topological Persistence and Simplification, Discrete & Computational Geometry, vol.28, issue.4, pp.511-533, 2002.
DOI : 10.1007/s00454-002-2885-2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.8802

]. H. Fed59 and . Federer, Curvature measures. Transactions of the, pp.418-491, 1959.

T. [. Goswami, C. Dey, and . Bajaj, Identifying flat and tubular regions of a shape by unstable manifolds, Proceedings of the 2006 ACM symposium on Solid and physical modeling , SPM '06, 2006.
DOI : 10.1145/1128888.1128892

M. [. Giesen and . John, Surface reconstruction based on a dynamical system, Proceedings of the 23rd Annual Conference of the European Association for Computer Graphics (Eurographics), pp.363-371, 2002.
DOI : 10.1111/1467-8659.00596

M. [. Giesen and . John, The flow complex: A data structure for geometric modeling, ACM SODA, 2003.
DOI : 10.1016/j.comgeo.2007.01.002

E. [. Giesen, B. Ramos, and . Sadri, Medial axis approximation and unstable manifolds, ACM SoCG, 2006.

]. A. Lie04 and . Lieutier, Any open bounded subset of R n has the same homotopy type than its medial axis, Computer-Aided Design, vol.36, issue.11, pp.1029-1046, 2004.

S. [. Niyogi, S. Smale, and . 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

]. J. Pdm82, W. Palis, and . De-melo, Geometric Theory of Dynamical Systems, 1982.

S. [. Zhao, R. Osher, and . Fedkiw, Fast surface reconstruction using the level set method, Proceedings of IEEE Workshop on Variational and Level Set Methods in Computer Vision (VLSM), 2001.

. Unité-de-recherche-inria-sophia and . Antipolis, route des Lucioles -BP 93 -06902 Sophia Antipolis Cedex (France) Unité de recherche INRIA Futurs : Parc Club Orsay Université -ZAC des Vignes 4, 2004.

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