D. Attali, A. Lieutier, and D. Salinas, Vietoris-Rips complexes also provide topologically correct reconstructions of sampled shapes, Computational Geometry: Theory and Applications, 2012. Accepted (short version appeared in Proc. SoCG'11)
URL : https://hal.archives-ouvertes.fr/hal-00579864

G. Carlsson, V. De, and S. , Zigzag Persistence, Foundations of Computational Mathematics, vol.33, issue.2, pp.367-405, 2010.
DOI : 10.1007/s10208-010-9066-0

URL : http://dx.doi.org/10.1007/s10208-010-9066-0

F. Chazal and D. Cohen-steiner, Geometric inference, Tesselations in the Sciences, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00772444

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

V. De, S. , and R. Ghrist, Coverage in sensor networks via persistent homology. Algebraic and Geometric Topology, pp.339-358, 2007.

K. Tamal, F. Dey, Y. Fan, and . Wang, Computing topological persistence for simplicial maps, 2012.

H. Edelsbrunner, D. Letscher, and A. Zomorodian, Topological persistence and simplification. Discrete and Computational Geometry, pp.511-533, 2002.

P. Gabriel, Unzerlegbare Darstellungen I, manuscripta mathematica, vol.8, issue.1, pp.71-103, 1972.
DOI : 10.2307/1969899

URL : http://www.digizeitschriften.de/download/PPN365956996_0006/PPN365956996_0006___log9.pdf

L. J. Guibas and S. Y. Oudot, Reconstruction Using Witness Complexes, Discrete & Computational Geometry, vol.33, issue.2, pp.325-356, 2008.
DOI : 10.1007/s00454-008-9094-6

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

A. Hatcher, Algebraic Topology, 2001.

B. Hudson, G. L. Miller, S. Y. Oudot, and D. R. Sheehy, Topological inference via meshing, Proceedings of the 2010 annual symposium on Computational geometry, SoCG '10, pp.277-286, 2010.
DOI : 10.1145/1810959.1811006

URL : https://hal.archives-ouvertes.fr/inria-00436891

Y. Steve, D. R. Oudot, and . Sheehy, Zigzag Zoology: Rips Zigzags for Homology Inference, Research Report, vol.8141, 2012.

R. Donald and . Sheehy, Linear-size approximations to the vietoris-rips filtration, Proceedings of the 2012 ACM Symposium on Computational Geometry, pp.239-248, 2012.

A. Zomorodian and G. Carlsson, Computing Persistent Homology, Discrete & Computational Geometry, vol.33, issue.2, pp.249-274, 2005.
DOI : 10.1007/s00454-004-1146-y