A simple algorithm for homeomorphic surface reconstruction, Proceedings of the Sixteenth Annual Symposium on Computational Geometry, SCG '00, pp.213-222, 2000. ,
DOI : 10.1145/336154.336207
URL : http://www.cs.utexas.edu/users/amenta/pubs/simple.ps.gz
Surface Reconstruction by Voronoi Filtering, Discrete & Computational Geometry, vol.22, issue.4, pp.481-504, 1999. ,
DOI : 10.1007/PL00009475
URL : http://www.cs.ucdavis.edu/~amenta/pubs/3dcrust.ps.gz
Stratification learning through homology inference, 2010 AAAI Fall Symposium Series, 2010. ,
Inferring Local Homology from Sampled Stratified Spaces, 48th Annual IEEE Symposium on Foundations of Computer Science (FOCS'07), pp.536-546, 2007. ,
DOI : 10.1109/FOCS.2007.45
Manifold Reconstruction Using Tangential Delaunay Complexes, Discrete & Computational Geometry, vol.26, issue.1, pp.221-267, 2014. ,
DOI : 10.1137/S1064827502419154
URL : https://hal.archives-ouvertes.fr/hal-00932209
Meshing of Surfaces, Effective Computational Geometry for Curves and Surfaces, pp.181-229, 2006. ,
DOI : 10.1007/978-3-540-33259-6_5
URL : https://hal.archives-ouvertes.fr/hal-00488274
Delaunay Triangulation of Manifolds, Foundations of Computational Mathematics, vol.45, issue.2, 2017. ,
DOI : 10.1145/336154.336221
URL : https://hal.archives-ouvertes.fr/hal-00879133
Delaunay Triangulation Based Surface Reconstruction, Effective Computational Geometry for Curves and Surfaces, pp.231-276, 2006. ,
DOI : 10.1007/978-3-540-33259-6_6
URL : https://hal.archives-ouvertes.fr/inria-00070610
Stability and Finiteness Properties of Medial Axis and Skeleton, Journal of Dynamical and Control Systems, vol.10, issue.2, pp.149-170, 2004. ,
DOI : 10.1023/B:JODS.0000024119.38784.ff
Manifold reconstruction from point samples, SODA, pp.1018-1027, 2005. ,
Delaunay Mesh Generation. Computer and information science series, 2013. ,
Localized delaunay refinement for piecewise-smooth complexes, Proceedings of the 29th annual symposium on Symposuim on computational geometry, SoCG '13, 2013. ,
DOI : 10.1145/2462356.2462376
URL : http://www.cse.ohio-state.edu/~tamaldey/paper/locpsc/locpsc.pdf
Delaunay meshing of piecewise smooth complexes without expensive predicates, Algorithms, vol.2, issue.4, pp.1327-1349, 2009. ,
Localized Delaunay refinement for volumes, Computer Graphics Forum, vol.30, issue.5, pp.1417-1426, 2011. ,
Curve and Surface Reconstruction: Algorithms with Mathematical Analysis. Number 23 in Cambridge monographs on applied and computational mathematics, 2007. ,
DOI : 10.1017/cbo9780511546860
URL : http://www.cis.ohio-state.edu/~tamaldey/paper/book/recon.ps.gz
Riemannian simplices and triangulations . Geometriae Dedicata, 2015. ,
DOI : 10.1007/s10711-015-0069-5
URL : http://doi.org/10.1007/s10711-015-0069-5
Curvature measures. Transactions of the America mathematical Society, pp.418-491, 1959. ,
DOI : 10.2307/1993504
A general comparison theorem with applications to volume estimates for submanifolds. Annales scientifiques de l'École Normale Supérieure, pp.451-470, 1978. ,
Differential Topology, 1976. ,
DOI : 10.1007/978-1-4684-9449-5
Matrix Analysis, 2013. ,
Riemannian comparison constructions, Global Differential Geometry, pp.170-222, 1989. ,
Schranken f???r die Christoffelsymbole, Manuscripta Mathematica, vol.4, issue.3, pp.261-273, 1976. ,
DOI : 10.1007/BF01170775
Any open bounded subset of has the same homotopy type as its medial axis, Computer-Aided Design, vol.36, issue.11, pp.1029-1046, 2004. ,
DOI : 10.1016/j.cad.2004.01.011
Topology of cyclo-octane energy landscape. The journal of chemical physics, p.132, 2010. ,
Finding the homology of submanifolds with high confidence from random samples. Discrete and computational geometry, pp.419-441, 2008. ,
Meshing Volumes Bounded by Smooth Surfaces, Computational Geometry, Theory and Applications, vol.38, pp.100-110, 2007. ,
DOI : 10.1007/3-540-29090-7_12
URL : https://hal.archives-ouvertes.fr/inria-00070382
Meshing Volumes bounded by Piecewise Smooth Surfaces. Theses, 2007. ,
URL : https://hal.archives-ouvertes.fr/tel-00410864
A comprehensive introduction to differential geometry: Volume I. Publish or Perish, 1999. ,
Numerische Approximation in Riemannschen Mannigfaltigkeiten mithilfe des Karcher'schen Schwerpunktes, 2014. ,