A. A. Agrachev, D. Pallaschke, and S. Scholtes, On morse theory for piecewise smooth functions, Journal of Dynamical and Control Systems, vol.25, issue.3, pp.449-469, 1997.
DOI : 10.1007/BF02463278

. Th and . Banchoff, Critical points and curvature for embedded polyhedra, J. Diff

M. Bern, D. Eppstein, and J. Gilbert, Provably good mesh generation, Journal of Computer and System Sciences, vol.48, issue.3, pp.384-409, 1994.
DOI : 10.1016/S0022-0000(05)80059-5

F. Chazal and D. Cohen-steiner, A condition for isotopic approximation, Graphical Models, vol.67, issue.5
DOI : 10.1016/j.gmod.2005.01.005
URL : https://hal.archives-ouvertes.fr/inria-00071648

D. P. Dobkin, S. V. Levy, W. P. Thurston, and A. R. Wilks, Contour tracing by piecewise linear approximations, ACM Transactions on Graphics, vol.9, issue.4, pp.389-423, 1990.
DOI : 10.1145/88560.88575

A. Dold, Lectures on algebraic topology, 1972.

H. Edelsbrunner, J. Harer, and A. Zomorodian, Hierarchical Morse complexes for piecewise linear 2-manifolds, Proc. 17th Annu. ACM Sympos, pp.70-79, 2001.

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

D. Gottlieb and G. Samaranayake, The index of discontinuous vector fields, New-York Journal of Mathematics, vol.1, pp.130-148, 1995.

A. Hatcher, Algebraic topology

A. Lopez and K. Brodlie, Improving the robustness and accuracy of the marching cubes algorithm for isosurfacing, IEEE Transactions on Visualization and Computer Graphics, vol.9, issue.1, 2003.
DOI : 10.1109/TVCG.2003.1175094

W. E. Lorensen and H. E. Cline, Marching cubes: A high resolution 3D surface construction algorithm, ACM SIGGRAPH Computer Graphics, vol.21, issue.4, pp.163-169, 1987.
DOI : 10.1145/37402.37422

B. T. Stander and J. C. Hart, Guaranteeing the Topology of an Implicit Surface Polygonizer for Interactive Modeling, Proceedings of SIGGRAPH 97, pp.279-286

J. Ruppert, A Delaunay Refinement Algorithm for Quality 2-Dimensional Mesh Generation, Journal of Algorithms, vol.18, issue.3, pp.548-585, 1995.
DOI : 10.1006/jagm.1995.1021

A. Sard, The measure of the critical values of differentiable maps, Bulletin of the American Mathematical Society, vol.48, issue.12, pp.883-890, 1942.
DOI : 10.1090/S0002-9904-1942-07811-6

J. R. Shewchuk, What Is a Good Linear Finite Element? Interpolation, Conditioning, Anisotropy, and Quality Measures

L. Velho and J. Gomes, Luiz Henrique de Figueiredo, Implicit Objects in Computer Graphics, 2002.

L. Velho, Simple and Efficient Polygonization of Implicit Surfaces, Journal of Graphics Tools, vol.2, issue.4, pp.5-24, 1996.
DOI : 10.1016/0146-664X(82)90169-1

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