M. Berger, Geometry II, Translated from French, 1987.

F. Cazals and M. Pouget, Estimating differential quantities using polynomial fitting of osculating jets, SGP 2003: Proceedings of the 2003 Eurographics, pp.177-187
DOI : 10.1016/j.cagd.2004.09.004

URL : https://hal.archives-ouvertes.fr/hal-00103047

A. Bernig and L. Bröcker, Intrinsic curvatures in analytic-geometric categories, Annales de l???institut Fourier, vol.53, issue.6, pp.1897-1924, 2003.
DOI : 10.5802/aif.1995

R. Chaine, A Geometric Convection Approach of 3-D Reconstruction, Proceedings of the 1st Symposium on Geometry Processing, pp.218-229, 2003.
URL : https://hal.archives-ouvertes.fr/inria-00071898

F. Chazal, D. Cohen-steiner, and A. , Lieutier Normal cone Approximation and Offset Shape Isotopy. INRIA research report Number 6100, 2007.
DOI : 10.1016/j.comgeo.2008.12.002

URL : http://doi.org/10.1016/j.comgeo.2008.12.002

F. Chazal, D. Cohen-steiner, and A. Lieutier, A Sampling Theory for Compacts in Euclidean Space, Proceedings of the 22nd ACM Symposium on Computational Geometry, 2006.

F. Chazal, D. Cohen-steiner, and Q. Mérigot, Stability of Boundary Measures, INRIA's research report N 6219, 2007.

F. Chazal and L. , The ?????-medial axis???, Graphical Models, vol.67, issue.4, pp.304-331, 2005.
DOI : 10.1016/j.gmod.2005.01.002

F. Chazal and A. Lieutier, Weak feature size and persistent homology, Proceedings of the twenty-first annual symposium on Computational geometry , SCG '05, pp.255-262, 2005.
DOI : 10.1145/1064092.1064132

F. Chazal, A. Lieutier, and J. Rossignac, OrthoMap: Homeomorphismguaranteeing normal-projection map between surfaces, Proceedings of ACM Symp. on Solid and Physical Modeling, 2005.

J. Cheeger, Critical Points of Distance Functions and Applications to Geometry, Geometric Topology: recent developments, pp.1-38, 1990.

F. H. Clarke, Optimization and NonSmooth Analysis, 1983.
DOI : 10.1137/1.9781611971309

D. and C. Steiner, Quelquesprobì emes liésliés`liésà la discrétisation de surfaces, thèse de l'´ ecole polytechnique, 2004.

D. Cohen-steiner and J. M. Morvan, Restricted delaunay triangulations and normal cycle, Proceedings of the nineteenth conference on Computational geometry , SCG '03, 2003.
DOI : 10.1145/777792.777839

D. Cohen-steiner and J. Morvan, Second fundamental measure of geometric sets and local approximation of curvatures, Journal of Differential Geometry, vol.74, issue.3, pp.363-394
DOI : 10.4310/jdg/1175266231

H. Edelsbrunner and E. P. Mücke, Three-dimensional alpha shapes, ACM Transactions on Graphics, vol.13, issue.1, pp.43-72, 1994.
DOI : 10.1145/174462.156635

URL : http://arxiv.org/abs/math/9410208

H. Edelsbrunner, Surface reconstruction by wrapping finite point sets in space

L. Fanghua and Y. Xiaoping, Geometric Measure Theory: an introduction, 2002.

H. Federer, Geometric Measure Theory, 1983.
DOI : 10.1007/978-3-642-62010-2

H. Federer, Curvature measures, Transactions of the American Mathematical Society, vol.93, issue.3, pp.418-491, 1959.
DOI : 10.1090/S0002-9947-1959-0110078-1

J. Fu, Curvature Measures of Subanalytic Sets, American Journal of Mathematics, vol.116, issue.4, pp.819-880
DOI : 10.2307/2375003

J. Fu, Monge-Ampère functions, 1, Indiana Univ Math, J, vol.38, pp.745-771, 1989.

J. Giesen and M. John, The flow complex: A data structure for geometric modeling, Proc. 14th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), pp.285-294, 2003.
DOI : 10.1016/j.comgeo.2007.01.002

K. Grove, Critical point theory for distance functions, Proc. of Symposia in Pure Mathematics, 1993.
DOI : 10.1090/pspum/054.3/1216630

A. Lieutier, 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

F. Morgan, Geometric Measure Theory, 1987.
DOI : 10.1016/b978-0-12-506857-4.50005-9

F. Morgan and M. Ritor, Geometric measure theory and the proof of the double bubble conjecture, Global theory of minimal surfaces, 1-18, Proc., 2, Amer, 2005.

S. Petitjean, A survey of methods for recovering quadrics in triangle meshes, ACM Computing Surveys, vol.34, issue.2, pp.211-262, 2002.
DOI : 10.1145/508352.508354

URL : https://hal.archives-ouvertes.fr/inria-00100762

J. Rataj and M. Zähle, Curvatures and Currents for Unions of Sets with positive reach II, Annals of Global Analysis and Geometry, vol.20, issue.1, pp.1-21, 2001.
DOI : 10.1023/A:1010624214933

J. Rataj and M. Zähle, Normal cycles of Lipschitz manifolds by approximation with parallel sets, Differential Geometry and its Applications, vol.19, issue.1, pp.113-126, 2003.
DOI : 10.1016/S0926-2245(03)00020-2

J. Rataj and M. Zähle, General Normal Cycles and Lipschitz Manifolds of Bounded Curvature, Annals of Global Analysis and Geometry, vol.23, issue.2, pp.135-156, 2005.
DOI : 10.1007/s10455-005-5218-x

M. Spivak, Calculus on manifolds: A modern approach to classical theorems of advanced calculus, 1965.