C. Andújar, P. Brunet, A. Chica, I. Navazo, J. Rossignac et al., Optimizing the topological and combinational complexity of isosurfaces, Computer-Aided Design, 2005.

R. S. Avila and L. M. Sobierajski, A haptic interaction method for volume visualization, Proceedings of Seventh Annual IEEE Visualization '96, 1996.
DOI : 10.1109/VISUAL.1996.568108

R. E. Bank, A. H. Sherman, and A. Weiser, Refinement Algorithms and Data Structures for Regular Local Mesh Refinement, 1983.

D. Baraff and A. P. Witkin, Large steps in cloth simulation, Proceedings of the 25th annual conference on Computer graphics and interactive techniques , SIGGRAPH '98, 1998.
DOI : 10.1145/280814.280821

J. Bloomenthal, Polygonization of implicit surfaces, Computer Aided Geometric Design, vol.5, issue.4, 1988.
DOI : 10.1016/0167-8396(88)90013-1

F. Bornemann, R. Erdmann, and B. Kornhuber, Adaptive multilevel-methods in three space dimensions, Intl. J. for Numer. Meth. in Eng, 1993.

L. Breiman, J. H. Friedman, R. A. Olshen, and C. J. Stone, Classification and Regression Trees, 1984.

M. Cani, Implicit representations in computer animation : a compared study, Proceedings EURO- GRAPHICS Workshop on Implicit Surfaces'99, 1999.
URL : https://hal.archives-ouvertes.fr/inria-00537514

P. Crossno and E. Angel, Isosurface extraction using particle systems, Proceedings. Visualization '97 (Cat. No. 97CB36155), 1997.
DOI : 10.1109/VISUAL.1997.663930

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.55.8732

P. J. Crossno and E. S. Angel, Spiraling Edge: fast surface reconstruction from partially organized sample points, Proceedings Visualization '99 (Cat. No.99CB37067), 1999.
DOI : 10.1109/VISUAL.1999.809903

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.124.3990

L. H. De-figueiredo, J. De-miranda-gomes, D. Terzopoulos, and L. Velho, Physically-based methods for polygonization of implicit surfaces, Proceedings of the conference on Graphics interface '92, 1992.

T. K. Dey, H. Edelsbrunner, S. Guha, and D. V. Nekhayev, Topology preserving edge contraction, 1999.

N. K. Govindaraju, M. Lin, and D. Manocha, Quick-CULLIDE, ACM SIGGRAPH 2005 Courses on , SIGGRAPH '05, 2005.
DOI : 10.1145/1198555.1198788

M. Hadwiger, C. Sigg, H. Scharsach, K. Bühler, and M. Gross, Real-Time Ray-Casting and Advanced Shading of Discrete Isosurfaces, Computer Graphics Forum, vol.5, issue.3, 2005.
DOI : 10.1111/j.1467-8659.2005.00855.x

C. Ho, F. Wu, B. Chen, Y. Chuang, and M. Ouhyoung, Cubical Marching Squares: Adaptive Feature Preserving Surface Extraction from Volume Data, Proceedings of EUROGRAPHICS 2005, 2005.
DOI : 10.1111/j.1467-8659.2005.00879.x

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.108.4795

G. Irving, J. Teran, and R. Fedkiw, Invertible finite elements for robust simulation of large deformation, Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation , SCA '04, 2004.
DOI : 10.1145/1028523.1028541

N. Jain, I. Kabul, N. K. Govindaraju, D. Manocha, and M. Lin, Multi-resolution collision handling for cloth-like simulations. Computer Animation and Virtual Worlds, 2005.

F. Levet, J. Hadim, P. Reuter, and C. Schlick, Anisotropic sampling for differential point rendering of implicit surfaces, Proceedings of the Winter School of Computer Graphics'05, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00308167

W. E. Lorensen and H. E. Cline, Marching cubes: A high resolution 3d surface construction algorithm, Computer Graphics (Proceedings of SIGGRAPH 87), 1987.

J. W. Milnor, Topology from the Differentiable Viewpoint, 1965.

M. Müller, J. Dorsey, L. Mcmillan, R. Jagnow, and B. Cutler, Stable real-time deformations, Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation , SCA '02, 2002.
DOI : 10.1145/545261.545269

M. Nesme, Y. Payan, and F. Faure, Efficient, physically plausible finite elements, Eurographics, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00394480

H. Rodrian and H. Moock, Dynamic triangulation of animated skeleton-based implicit surfaces, Proceedings of the EUROGRAPHICS Workshop on Implicit Surfaces'96, 1996.

B. T. Stander and J. C. Hart, Guaranteeing the topology of an implicit surface polygonization for interactive modeling, Proceedings of SIGGRAPH 97, 1997.

G. Van-den-bergen, Efficient Collision Detection of Complex Deformable Models using AABB Trees, Journal of Graphics Tools, 1997.
DOI : 10.1201/b10628-18

A. P. Witkin and P. S. Heckbert, Using particles to sample and control implicit surfaces INRIA INRIA Unité de recherche INRIA Rhône-Alpes 655, avenue de l'Europe -38334 Montbonnot Saint-Ismier (France) Unité de recherche INRIA Futurs, Proceedings of SIGGRAPH 94 des Vignes 4, rue Jacques Monod -91893 ORSAY Cedex, 1994.

I. Unité-de-recherche and . Lorraine, Technopôle de Nancy-Brabois -Campus scientifique 615, rue du Jardin Botanique -BP 101 -54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex (France) Unité de recherche INRIA Rocquencourt : Domaine de Voluceau -Rocquencourt -BP 105 -78153 Le Chesnay Cedex (France) Unité de recherche, 2004.