L. Andersson, S. M. Dorney, T. J. Peters, and N. F. Stewart, Polyhedral perturbations that preserve topological form, Computer Aided Geometric Design, vol.12, issue.8, 1995.
DOI : 10.1016/0167-8396(94)00039-7

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.41.6118

J. Becker, C. Wieser, S. Fell, and K. Steiner, A multi-scale approach to material modeling of fuel cell diffusion media, International Journal of Heat and Mass Transfer, vol.54, issue.7-8, pp.1360-1368, 2011.
DOI : 10.1016/j.ijheatmasstransfer.2010.12.003

A. S. Berres and H. Hagen, Feature-preserving discrete normal fields for bézier polygons, 2014.

M. Buck, H. Iliev, and . Andrä, Multiscale finite element coarse spaces for the analysis of linear elastic composites, Fraunhofer-Institut für Techno-und Wirtschaftsmathematik, Fraunhofer (ITWM), 2012.

P. D. Manfred and . Carmo, Differential Geometry of Curves and Surfaces, 1976.

N. Efimov, Flaechenverbiegungen im Grossen, 1957.

M. Eigensatz and M. Pauly, Positional, metric, and curvature control for constraintbased surface deformation, Computer Graphics Forum, pp.551-558, 2009.

M. Eigensatz, R. W. Sumner, and M. Pauly, Curvature-Domain Shape Processing, Computer Graphics Forum, vol.27, issue.2, pp.241-250, 2008.
DOI : 10.1111/j.1467-8659.2008.01121.x

URL : http://infoscience.epfl.ch/record/149317

J. Gravesen and M. Ungstrup, Constructing invariant fairness measures for surfaces, Advances in Computational Mathematics, vol.17, issue.1/2, pp.67-88, 2002.
DOI : 10.1023/A:1015229622042

H. Hagen and S. Hahmann, Stability conditions for free form surfaces, Proceedings. Computer Graphics International (Cat. No.98EX149), pp.41-48, 1998.
DOI : 10.1109/CGI.1998.694248

S. Hahmann and H. Hagen, Numerical aspects of stability investigations on surfaces, Proceedings of the 6th IMA Conference on the Mathematics of Surfaces, pp.291-308, 1996.

H. Hoppe, Progressive meshes, Proceedings of the 23rd annual conference on Computer graphics and interactive techniques , SIGGRAPH '96, pp.99-108, 1996.
DOI : 10.1145/237170.237216

I. Ivanova-karatopraklieva and I. Sabitov, Bending of surfaces. Part II, Journal of Mathematical Sciences, vol.5, issue.No. 2, pp.997-1043, 1995.
DOI : 10.1007/BF02362831

K. E. Jordan, L. Miller, E. L. Moore, T. J. Peters, and A. C. Russell, Modeling time and topology for animation and visualization with examples on parametric geometry, Theoretical Computer Science, vol.405, issue.1-2, pp.41-49, 2008.
DOI : 10.1016/j.tcs.2008.06.023

P. Joshi and C. H. Sequin, Energy Minimizers for Curvature-Based Surface Functionals, Computer-Aided Design and Applications, vol.23, issue.1, pp.607-617, 2007.
DOI : 10.1080/16864360.2007.10738495

J. Li and T. J. Peters, Isotopy convergence theorem, 2012.

M. Meyer, M. Desbrun, P. Schröder, and A. Barr, Discrete differentialgeometry operators for triangulated 2-manifolds, Visualization and Mathematics III, Mathematics and Visualization, pp.35-57, 2003.

A. Meziani, Infinitesimal bendings of high orders for homogeneous surfaces with positive curvature and a flat point, Journal of Differential Equations, vol.239, issue.1, pp.16-37, 2007.
DOI : 10.1016/j.jde.2007.04.010

P. Tellier and I. Debled-rennesson, 3D Discrete Normal Vectors, Discrete Geometry for Computer Imagery, pp.447-458, 1999.
DOI : 10.1007/3-540-49126-0_35

URL : https://hal.archives-ouvertes.fr/inria-00098884

G. Thürmer, A. Charles, and . Wüthrich, Normal computation for discrete surfaces in 3d space, Computer graphics forum, pp.15-26, 1997.

S. Ljubica, M. S. Velimirovic, and . Ciric, On the total mean curvature of piecewise smooth surfaces under infinitesimal bending, Applied Mathematics Letters, vol.24, issue.9, pp.1515-1519, 2011.

S. Ljubica, S. R. Velimirovic, M. Rancic, . Lj, and . Zlatanovic, Visualization of infinitesimal bending of curves, Approximation and Computation, pp.469-480, 2011.

C. Weber, Methods for Detection and Reconstruction of Sharp Features in Point Cloud Data, 2011.