Optimal Reconstruction Might be Hard, Discrete & Computational Geometry, vol.39, issue.1???3, pp.133-156, 2013. ,
DOI : 10.1007/s00454-012-9475-8
URL : https://hal.archives-ouvertes.fr/hal-00468602
Vietoris-rips complexes also provide topologically correct reconstructions of sampled shapes, Proceedings of the 27th annual ACM symposium on Computational geometry, SoCG '11, pp.448-465, 2013. ,
DOI : 10.1145/1998196.1998276
URL : https://hal.archives-ouvertes.fr/hal-00579864
Homology and robustness of level and interlevel sets. Homology, Homotopy and Applications, pp.51-72, 2013. ,
Categorification of Persistent Homology, Discrete & Computational Geometry, vol.33, issue.2, 2014. ,
DOI : 10.1007/s00454-014-9573-x
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
Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees, Computational Geometry, vol.40, issue.2, pp.156-170, 2008. ,
DOI : 10.1016/j.comgeo.2007.07.001
URL : https://hal.archives-ouvertes.fr/hal-00864487
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
The structure and stability of persistence modules, 2012. ,
DOI : 10.1007/978-3-319-42545-0
URL : https://hal.archives-ouvertes.fr/hal-01107617
Vines and vineyards by updating persistence in linear time, Proceedings of the twenty-second annual symposium on Computational geometry , SCG '06, pp.119-126, 2006. ,
DOI : 10.1145/1137856.1137877
Stability of Persistence Diagrams, Discrete & Computational Geometry, vol.37, issue.1, pp.103-120, 2007. ,
DOI : 10.1007/s00454-006-1276-5
Extending Persistence Using Poincar?? and Lefschetz Duality, Foundations of Computational Mathematics, vol.33, issue.1, pp.79-103, 2008. ,
DOI : 10.1007/s10208-008-9027-z
Topological estimation using witness complexes, Eurographics Symposium on Point-Based Graphics, pp.157-166, 2004. ,
Alpha shapes ? a survey, Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings ,
Alexander duality for functions, Proceedings of the 2012 symposuim on Computational Geometry, SoCG '12, pp.249-258, 2012. ,
DOI : 10.1145/2261250.2261287
Topological Persistence and Simplification, Discrete & Computational Geometry, vol.28, issue.4, pp.511-533, 2002. ,
DOI : 10.1007/s00454-002-2885-2
Quantifying Transversality by Measuring the??Robustness of Intersections, Foundations of Computational Mathematics, vol.62, issue.3, pp.345-361, 2011. ,
DOI : 10.1007/s10208-011-9090-8
Algebraic Topology, 2002. ,
Zigzag persistent homology in matrix multiplication time, Proceedings of the twenty-seventh annual symposium on Computational geometry, pp.216-225, 2011. ,
Homological Illusions of Persistence and Stability, 2008. ,
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
Algebraic Topology, 1994. ,
DOI : 10.1007/978-1-4684-9322-1