Fast probabilistic algorithms for hamiltonian circuits and matchings, Journal of Computer and System Sciences, vol.18, issue.2, pp.155-193, 1979. ,
DOI : 10.1016/0022-0000(79)90045-X
Efficient and robust persistent homology for measures, Proceedings of the 26th ACM-SIAM symposium on Discrete algorithms. SIAM, 2015. ,
DOI : 10.1016/j.comgeo.2016.07.001
URL : https://hal.archives-ouvertes.fr/hal-01074566
The structure and stability of persistence modules, 2013. ,
DOI : 10.1007/978-3-319-42545-0
URL : https://hal.archives-ouvertes.fr/hal-01107617
Proximity of persistence modules and their diagrams, Proceedings of the 25th annual symposium on Computational geometry, SCG '09, pp.237-246, 2009. ,
DOI : 10.1145/1542362.1542407
URL : https://hal.archives-ouvertes.fr/inria-00292566
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
Scalar Field Analysis over Point Cloud Data, Discrete & Computational Geometry, vol.33, issue.2, pp.743-775, 2011. ,
DOI : 10.1007/s00454-011-9360-x
URL : https://hal.archives-ouvertes.fr/hal-00772430
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
Stability of Persistence Diagrams, Discrete & Computational Geometry, vol.37, issue.1, pp.103-120, 2007. ,
DOI : 10.1007/s00454-006-1276-5
Approximating cycles in a shortest basis of the first homology group from point data, Inverse Problems, vol.27, issue.12, p.124004, 2011. ,
A New Directional Weighted Median Filter for Removal of Random-Valued Impulse Noise, IEEE Signal Processing Letters, vol.14, issue.3, pp.193-196, 2007. ,
DOI : 10.1109/LSP.2006.884014
Computational Topology: An Introduction. Amer, Math. Soc, 2009. ,
DOI : 10.1090/mbk/069
Curvature measures. Transactions of the, pp.418-491, 1959. ,
The volume of a small geodesic ball of a Riemannian manifold., The Michigan Mathematical Journal, vol.20, issue.4, pp.329-344, 1974. ,
DOI : 10.1307/mmj/1029001150
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
A distribution-free theory of nonparametric regression, 2002. ,
DOI : 10.1007/b97848
Topological de-noising: Strengthening the topological signal. arXiv preprint, 2009. ,
Denoising of salt-and-pepper noise corrupted image using modified directional-weighted-median filter, Pattern Recognition Letters, vol.33, issue.10, pp.1287-1295, 2012. ,
DOI : 10.1016/j.patrec.2012.03.025
A new impulse detection and filtering method for removal of wide range impulse noises, Pattern Recognition, vol.42, issue.9, pp.2194-2202, 2009. ,
DOI : 10.1016/j.patcog.2009.01.022
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