Efficient and robust persistent homology for measures, Computational Geometry, vol.58, 2014. ,
DOI : 10.1016/j.comgeo.2016.07.001
URL : https://hal.archives-ouvertes.fr/hal-01074566
The conformal alpha shape filtration. The Visual Computer, pp.531-540, 2006. ,
Gromov-Hausdorff Stable Signatures for Shapes using Persistence, Computer Graphics Forum, pp.1393-1403, 2009. ,
DOI : 10.1111/j.1467-8659.2009.01516.x
URL : https://hal.archives-ouvertes.fr/hal-00772413
A Sampling Theory for Compact Sets in Euclidean Space, Discrete & Computational Geometry, vol.18, issue.3, pp.461-479, 2009. ,
DOI : 10.1007/s00454-009-9144-8
URL : https://hal.archives-ouvertes.fr/hal-00864493
Geometric Inference for Probability Measures, Foundations of Computational Mathematics, vol.40, issue.2, pp.733-751, 2011. ,
DOI : 10.1007/s10208-011-9098-0
URL : https://hal.archives-ouvertes.fr/hal-00772444
The structure and stability of persistence modules, 2012. ,
DOI : 10.1007/978-3-319-42545-0
URL : https://hal.archives-ouvertes.fr/hal-01107617
Persistence stability for geometric complexes. arXiv preprint, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00923560
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
Applications of random sampling in computational geometry, II. Discrete & Computational Geometry, vol.4, issue.1, pp.387-421, 1989. ,
Stability of Persistence Diagrams, Discrete & Computational Geometry, vol.37, issue.1, pp.103-120, 2007. ,
DOI : 10.1007/s00454-006-1276-5
3D alpha shapes, CGAL User and Reference Manual. CGAL Editorial Board, 4.2 edition, 2013. ,
Computing topological persistence for simplicial maps. arXiv preprint, 2012. ,
The union of balls and its dual shape, Discrete & Computational Geometry, vol.133, issue.3-4, pp.415-440, 1995. ,
DOI : 10.1007/BF02574053
Computational topology: an introduction, 2010. ,
DOI : 10.1090/mbk/069
Topological persistence and simplification, Proceedings . 41st Annual Symposium on, pp.454-463, 2000. ,
DOI : 10.1109/sfcs.2000.892133
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.8802
Witnessed k-Distance, Discrete & Computational Geometry, vol.40, issue.2, pp.22-45, 2013. ,
DOI : 10.1007/s00454-012-9465-x
URL : https://hal.archives-ouvertes.fr/hal-00872490
Algebraic Topology, 2002. ,
ANN: Library for approximate nearest neighbour searching, 1998. ,
Elements of Algebraic Topology, 1984. ,
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
Zigzag zoology: Rips zigzags for homology inference, Proceedings of the 29th annual Symposium on Computational Geometry, pp.387-396, 2013. ,
Linear-size approximations to the Vietoris-Rips filtration, Discrete & Computational Geometry, vol.49, issue.4, pp.778-796, 2013. ,
Topics in Optimal Transportation, 2003. ,
DOI : 10.1090/gsm/058
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