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
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
Voronoi diagrams---a survey of a fundamental geometric data structure, ACM Computing Surveys, vol.23, issue.3, pp.345-405, 1991. ,
DOI : 10.1145/116873.116880
Manifold reconstruction in arbitrary dimensions using witness complexes, Proc. 23rd ACM Sympos, pp.194-203, 2007. ,
DOI : 10.1145/1247069.1247106
URL : https://hal.archives-ouvertes.fr/hal-00488434
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
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
On the Local Behavior of Spaces of Natural Images, International Journal of Computer Vision, vol.265, issue.4, 2007. ,
DOI : 10.1007/s11263-007-0056-x
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
A sampling theory for compact sets in Euclidean space, Proc. 22nd Annu. ACM Sympos, pp.319-326, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00864493
The ?????-medial axis???, Graphical Models, vol.67, issue.4, pp.304-331, 2005. ,
DOI : 10.1016/j.gmod.2005.01.002
Topology guaranteeing manifold reconstruction using distance function to noisy data, Proceedings of the twenty-second annual symposium on Computational geometry , SCG '06, pp.112-118, 2006. ,
DOI : 10.1145/1137856.1137876
Stability and Computation of Topological Invariants of Solids in ${\Bbb R}^n$, Discrete & Computational Geometry, vol.37, issue.4, pp.601-617, 2007. ,
DOI : 10.1007/s00454-007-1309-8
Sliver exudation, Proceedings of the fifteenth annual symposium on Computational geometry , SCG '99, pp.883-904, 2000. ,
DOI : 10.1145/304893.304894
Manifold reconstruction from point samples, Proc. 16th Sympos. Discrete Algorithms, pp.1018-1027, 2005. ,
Stability of persistence diagrams, Proc. 21st ACM Sympos, pp.263-271, 2005. ,
A weak definition of Delaunay triangulation, 2003. ,
A weak characterisation of the Delaunay triangulation, Geometriae Dedicata, vol.33, issue.2, 2007. ,
DOI : 10.1007/s10711-008-9261-1
Topological estimation using witness complexes, Proc. Sympos. Point-Based Graphics, pp.157-166, 2004. ,
Coverage in sensor networks via persistent homology, Algebraic & Geometric Topology, vol.7, issue.1, pp.339-358, 2007. ,
DOI : 10.2140/agt.2007.7.339
An extension of Tietze???s theorem, Pacific Journal of Mathematics, vol.1, issue.3, pp.353-367, 1951. ,
DOI : 10.2140/pjm.1951.1.353
The union of balls and its dual shape, Proceedings of the ninth annual symposium on Computational geometry , SCG '93, pp.415-440, 1995. ,
DOI : 10.1145/160985.161139
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
Triangulating Topological Spaces, International Journal of Computational Geometry & Applications, vol.07, issue.04, pp.365-378, 1997. ,
DOI : 10.1142/S0218195997000223
Curvature measures, Transactions of the American Mathematical Society, vol.93, issue.3, pp.418-491, 1959. ,
DOI : 10.1090/S0002-9947-1959-0110078-1
Measuring and localizing homology classes, 2007. ,
Geodesic Delaunay triangulations and witness complexes in the plane, Proc. ACM-SIAM Sympos. Discrete Algorithms, 2008. ,
The persistent topology of data, Bull. Amer. Math. Soc, 2007. ,
Shape dimension and intrinsic metric from samples of manifolds with high co-dimension. Discrete and Computational Geometry, pp.245-267, 2004. ,
Critical point theory for distance functions, Proc. of Symposia in Pure Mathematics, 1993. ,
DOI : 10.1090/pspum/054.3/1216630
Reconstruction Using Witness Complexes, Proc. 18th Sympos. on Discrete Algorithms, pp.1076-1085, 2007. ,
DOI : 10.1007/s00454-008-9094-6
URL : https://hal.archives-ouvertes.fr/hal-00488434
Algebraic Topology, 2001. ,
The maximum numbers of faces of a convex polytope, Mathematika, vol.16, issue.02, pp.179-184, 1970. ,
DOI : 10.1007/BF02771542
Finding the homology of submanifolds with high confidence from random samples, Discrete Comput. Geom ,
On the topology of the restricted Delaunay triangulation and witness complex in higher dimensions. Manuscript. Preprint available at http://geometry, 2006. ,
URL : https://hal.archives-ouvertes.fr/inria-00260861
Towards computing homology from approximations, Topology, vol.24, pp.503-532, 1999. ,
A New Algorithm for Generating All the Maximal Independent Sets, SIAM Journal on Computing, vol.6, issue.3, pp.505-517, 1977. ,
DOI : 10.1137/0206036
Computing Persistent Homology, Discrete & Computational Geometry, vol.33, issue.2, pp.249-274, 2005. ,
DOI : 10.1007/s00454-004-1146-y
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.5064