D. Attali, J. Boissonnat, and H. Edelsbrunner, Mathematical Foundations of Scientific Visualization , Computer Graphics, and Massive Data Exploration, chapter Stability and Computation of Medial Axes : a State of the Art Report, 2007.

A. Angelidis, M. Cani, G. Wyvill, and S. King, Swirling-sweepers, ACM SIGGRAPH 2004 Sketches on , SIGGRAPH '04, 2004.
DOI : 10.1145/1186223.1186273
URL : https://hal.archives-ouvertes.fr/inria-00537449

K. J. Arrowa, L. Hurwicz, and H. Uzawa, Studies in linear and non-linear programming, The American Economic Review, vol.49, issue.4, pp.751-754, 1959.

M. Alexa, Linear combination of transformations, SIGGRAPH '02 : Proceedings of the 29th annual conference on Computer graphics and interactive techniques, pp.380-387, 2002.

F. Eike and . Anderson, Real-time character animation for computer games, 2001.

. And05, A. Kasper, and . Andersen, Spherical blend skinning on gpu, Symposium on Interactive 3D Graphics, pp.9-16, 2005.

A. Angelidis, G. Wyvill, and M. Cani, Sweepers : Swept user-defined tools for modeling by deformation, IEEE : Proceedings of Shape Modeling and Applications, pp.63-73, 2004.
URL : https://hal.archives-ouvertes.fr/inria-00537464

A. H. Barr, Global and local deformation of solid primitives, SIGGRAPH '84 Proceedings of the 11th annual conference on Computer Graphics and Interactive Techniques, pp.21-30, 1984.

D. Bourguignon and M. Cani, Controlling Anisotropy in Mass-Spring Systems, Eurographics Workshop on Computer Animation and Simulation, pp.113-123, 2000.
DOI : 10.1007/978-3-7091-6344-3_9
URL : https://hal.archives-ouvertes.fr/inria-00537510

R. Samuel, J. P. Buss, and . Fillmore, Spherical averages and applications to spherical splines and interpolation, ACM Transactions on Graphics, vol.20, issue.2, pp.95-126, 2001.

J. Bloomenthal, Medial-based vertex deformation, Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation , SCA '02, 2002.
DOI : 10.1145/545261.545285

E. Chuang and C. Bregler, Performance driven facial animation using blendshape interpolation, 2002.

M. Cani and M. Desbrun, Animation of deformable models using implicit surfaces, IEEE Transactions on Visualization and Computer Graphics, vol.3, issue.1, pp.39-50, 1997.
DOI : 10.1109/2945.582343
URL : https://hal.archives-ouvertes.fr/inria-00537529

G. Collins and A. Hilton, Models for character animation. Software Focus, pp.44-51, 2001.

[. Chen, Pump It Up : computer animation of a biomechanically based model of muscle using the finite element method, Massachusetts Institute of Technology. Dept. of Architecture, 1992.

J. E. Chadwick, D. R. Haumann, and R. E. Parent, Layered construction for deformable animated characters, ACM SIGGRAPH Computer Graphics, vol.23, issue.3, pp.243-252, 1989.
DOI : 10.1145/74334.74358

E. Chuang, Mood swings: expressive speech animation, ACM Transactions on Graphics, vol.24, issue.2, pp.331-347, 2005.
DOI : 10.1145/1061347.1061355

C. Chua and U. Neumann, Hardware-accelerated free-form deformation, Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware , HWWS '00, pp.33-39, 2000.
DOI : 10.1145/346876.346884

S. Coquillart, Extended free-form deformation : a sculpturing tool for 3d geometric modeling, SIGGRAPH '90 : Proceedings of the 17th annual conference on Computer Graphics and Interactive Techniques, pp.187-196, 1990.
URL : https://hal.archives-ouvertes.fr/inria-00075308

[. Chang and A. P. Rockwood, A generalized de Casteljau approach to 3D free-form deformation, Proceedings of the 21st annual conference on Computer graphics and interactive techniques , SIGGRAPH '94, pp.257-260, 1994.
DOI : 10.1145/192161.192220

[. Cohen-or and O. Sorkine, Encoding meshes in differential coordinates. Spring Conference on Computer Graphics, 2006.

M. Desbrun and M. Cani, Animating soft substances with implicit surfaces, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques , SIGGRAPH '95, pp.287-290, 1995.
DOI : 10.1145/218380.218456
URL : https://hal.archives-ouvertes.fr/inria-00537542

M. R. Janseen and . Drost, Diffusion tensor imaging in biomechanical studies of skeletal muscle function, Journal of Anatomy, vol.194, pp.79-88, 1999.

P. Dulgerova, Biophysical modelling of viscoelastic deformations of cattle skin in vivo, Trakia Journal of Sciences, vol.2, issue.4, pp.1-3, 2004.

D. Enright, R. Fedkiw, J. Ferziger, and I. Mitchell, A Hybrid Particle Level Set Method for Improved Interface Capturing, Journal of Computational Physics, vol.183, issue.1, pp.83-116, 2002.
DOI : 10.1006/jcph.2002.7166

L. E. Edsberg, R. E. Mates, R. E. Baier, and M. Lauren, Mechanical characteristics of human skin subjected to static versus cyclic normal pressures, Journal of Rehabilitation Research and Development, vol.36, issue.2, pp.133-141, 1999.

N. Foster and R. Fedkiw, Practical animation of liquids, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.23-30, 2001.
DOI : 10.1145/383259.383261

J. Feng, P. Heng, and T. Wong, Accurate B-spline Free-Form Deformation of Polygonal Objects, Journal of Graphics Tools, vol.20, issue.4, pp.11-27, 1998.
DOI : 10.1080/10867651.1998.10487492

[. Foskey, M. C. Lin, and D. Manocha, Efficient computation of a simplified medial axis, ACM Symposium on Solid Modeling and Applications, 2003.

J. Feng, L. Ma, and Q. Peng, A new free-form deformation through the control of parametric surfaces, Computers & Graphics, vol.20, issue.4, pp.531-539, 1996.
DOI : 10.1016/0097-8493(96)00025-8

[. Faloutsos, D. Michiel-van-de-panne, and . Terzopoulos, Dynamic free-form deformations for animation synthesis, IEEE Transactions on Visualization and Computer Graphics, vol.3, issue.3, pp.201-214, 1997.
DOI : 10.1109/2945.620488

W. Von-funck, H. Theisel, and H. Seidel, Vector field based shape deformations, ACM Transactions on Graphics, vol.25, issue.3, pp.1118-1125, 2006.
DOI : 10.1145/1141911.1142002

[. Gonzalez-ochoa, S. Mc-cammon, and J. Peters, Computing moments of piecewise polynomial surfaces, 1997.

E. Golfinger, Human Anatomy for Artists : The Elements of Form, 1991.

J. Griessmair and W. Purgathofer, Deformation of solids with trivariate B-Splines, Proceedings for Eurographics, pp.137-148, 1989.

]. F. Hen01 and . Hendriks, Mechnical behaviour of human skin in vivo-A literature review, 2001.

W. M. Hsu, J. F. Hughes, and H. Kaufman, Direct manipulation of free-form deformations, Proceedings of the 19th annual conference on Computer graphics and interactive techniques, pp.177-184, 1992.

[. Hirota, R. Maheshwari, and M. C. Lin, Fast volume-preserving free-form deformation using multi-level optimization, SMA '99 : Proceedings of the fifth ACM symposium on Solid modeling and applications, pp.234-245, 1999.
DOI : 10.1016/S0010-4485(00)00038-5
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.4927

J. Huang, X. Shi, X. Liu, K. Zhou, L. Wei et al., Subspace gradient domain mesh deformation, ACM Transactions on Graphics, vol.25, issue.3, pp.1126-1134, 2006.
DOI : 10.1145/1141911.1142003
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.187.8830

. Shi-min, H. Hu, C. Zhang, J. Tai, and . Sun, Direct manipulation of ffd : Efficient explicit solutions and decomposible multiple point constraints, Visual Computer, vol.17, issue.6, pp.370-379, 2001.

L. Doug, C. D. James, and . Twigg, Skinning mesh animations, ACM SIGGRAPH'05 : Transactions on Graphics, pp.399-407, 2005.

[. Kavan, S. Collins, and C. O. Sullivan, Dual quaternions for rigid transformation blending, 2006.

L. Kavan, S. Collins, J. Zára, and C. O. Sullivan, Skinning with dual quaternions, Proceedings of the 2007 symposium on Interactive 3D graphics and games , I3D '07, 2007.
DOI : 10.1145/1230100.1230107

G. Paul, D. L. Kry, D. K. James, and . Pai, Eigenskin : Real time large deformation character skinning in hardware, SCA '02 : Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation, pp.153-159, 2002.

B. Kavan and J. Zára, Spherical blend skinning, Proceedings of the 2005 symposium on Interactive 3D graphics and games , SI3D '05, pp.9-16, 2005.
DOI : 10.1145/1053427.1053429

C. Larboulette, Traitement temps-réel des déformations de la peau et des tissus sous-cutanés pour l'animation de personnages, 2004.

M. [. Lewis, N. Cordner, and . Fong, Pose space deformation, Proceedings of the 27th annual conference on Computer graphics and interactive techniques , SIGGRAPH '00, pp.85-94, 2000.
DOI : 10.1145/344779.344862

Y. Lipman, D. Cohen-or, R. Gal, and D. Levin, Volume and shape preservation via moving frame manipulation, ACM Transactions on Graphics, vol.26, issue.1, 2006.
DOI : 10.1145/1189762.1189767

D. Bent, K. S. Larsen, B. Petersen, and . Jakobsen, Deformable skinning on bones, 2001.

Y. Lipman, O. Sorkine, D. Cohen-or, D. Levin, C. Rössl et al., Differential coordinates for interactive mesh editing. Shape Modeling International Levin, and Daniel Cohen-Or. Linear rotation-invariant coordinates for meshes, LSLC05] Yaron Lipman, Olga Sorkine Proceedings of ACM SIGGRAPH 2005, pp.479-487, 2004.
DOI : 10.1109/smi.2004.1314505
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.142.4049

A. Marthinsen, Interpolation in lie groups and homogeneous spaces, 1998.

[. Meyer, M. Desbrun, P. Schröder, and A. H. Barr, Discrete Differential-Geometry Operators for Triangulated 2-Manifolds, Proceedings of VisMath, 2002.
DOI : 10.1007/978-3-662-05105-4_2

A. Mohr and M. Gleicher, Building efficient, accurate character skins from examples. SIG- GRAPH'03, pp.562-568, 2003.
DOI : 10.1145/1201775.882308
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.14.188

H. Masuda, Y. Yasuhiroyoshioka, and . Furukawa, Preserving Form-Features in Interactive Mesh Deformation, Geometric Modeling and Processing), pp.207-220, 2006.
DOI : 10.1007/11802914_15

L. P. Nedel, Anatomic Modeling of Human Bodies Using Physically-Based Muscle Simulation, 1998.

A. Nealen, M. Müller, R. Keiser, E. Boxerman, and M. Carlson, Physically Based Deformable Models in Computer Graphics, Computer Graphics Forum, vol.25, issue.1, pp.809-836, 2006.
DOI : 10.1145/1015706.1015733

A. Nealen, O. Sorkine, M. Alexa, and D. Cohen-or, A sketch-based interface for detail-preserving mesh editing, ACM Transactions on Graphics, vol.24, issue.3, pp.1142-1147, 2005.
DOI : 10.1145/1073204.1073324

S. Osher and R. Fedkiw, Level Set Methods and Dynamic Implicit Surfaces, 2003.

C. W. Oomens, M. Maenhout, C. H. Van-oijen, M. R. Drost, and F. P. Baaijens, Finite element modelling of contracting skeletal muscle, Philosophical Transactions of the Royal Society B: Biological Sciences, vol.358, issue.1437, pp.1453-60, 2003.
DOI : 10.1098/rstb.2003.1345

S. Osher and J. A. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988.
DOI : 10.1016/0021-9991(88)90002-2

M. Putz and K. Hufnagl, Character animation for real-time applications, Central European Seminar on Computer Graphics, 2002.

J. Peters and A. Nasri, Computing Volumes of Solids Enclosed by Recursive Subdivision Surfaces, Computer Graphics Forum, vol.16, issue.3, pp.89-94, 1997.
DOI : 10.1111/1467-8659.16.3conferenceissue.10

L. Reveret, L. Favreau, C. Depraz, and M. Cani, Morphable model of quadrupeds skeletons for animating 3D animals, Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation , SCA '05, pp.29-31, 2005.
DOI : 10.1145/1073368.1073386
URL : https://hal.archives-ouvertes.fr/inria-00389338

B. Rouveyrol, Animation skinnée par sémantique d'articulation. Virtual Actors, 2004.

A. Rappoport, A. Sheffer, and M. Bercovier, Volume-preserving free-form solids, IEEE Transactions on Visualization and Computer Graphics, vol.2, issue.1, pp.19-27, 1996.
DOI : 10.1109/2945.489383

B. Sauvage, Déformation de courbes et surfaces multirésolution sous contraintes, 2005.

O. Sorkine, D. Cohen-or, Y. Lipman, M. Alexa, C. Rössl et al., Laplacian surface editing, Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing , SGP '04, pp.179-188, 2004.
DOI : 10.1145/1057432.1057456
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.132.2425

S. [. Sauvage, G. Hahmann, and . Bonneau, Volume Preservation of Multiresolution Meshes, Computer Graphics Forum, vol.30, issue.2, p.26, 2007.
DOI : 10.1109/34.192463
URL : https://hal.archives-ouvertes.fr/hal-00319628

B. Bibliographie-[-shbe06-]-b, S. Sauvage, G. Hahmann, G. Bonneau, and . Elber, Detail preserving deformation of B-spline with volume constraint, 2006.

K. Shoemake, Animating rotation with quaternion curves, SIGGRAPH '85 : Proceedings of the 12th annual conference on Computer graphics and interactive techniques, pp.245-254, 1985.
DOI : 10.1145/325334.325242

K. Singh and E. Kokkevis, Skinning characters using surface oriented free-form deformations, Graphics Interface, pp.35-42, 2000.

O. Sorkine, Differential Representations for Mesh Processing, Computer Graphics Forum, vol.22, issue.5, 2006.
DOI : 10.1145/1073204.1073218

W. Thomas, S. R. Sederberg, and . Parry, Free-form deformation of solid geometry, SIGGRAPH '86 : Proceedings of the 13th Annual Conference on Computer Graphics and Interactive Techniques, pp.151-160, 1986.

H. Frederick, G. P. Sikver, J. W. Seehra, D. Freeman, and . Devore, Viscoelastic Properties of Young and Old Human Dermis : A Proposed Molecular Mechanism for Elastic Energy Storage in Collagen and Elastin, Journal of Applied Polymer Science, vol.86, issue.8, pp.1978-1985, 2002.

D. Terzopoulos and H. Qin, Dynamic NURBS with geometric constraints for interactive sculpting, ACM Transactions on Graphics, vol.13, issue.2, pp.103-136, 1994.
DOI : 10.1145/176579.176580

[. Wu, P. Kalra, and N. M. Thalmann, Physically-based Wrinkle Simulation & Skin Rendering, Proc. Eurographics Workshop on Computer Simulation and Animation, 1997.
DOI : 10.1007/978-3-7091-6874-5_5

C. Xiaohuan, C. Wang, and . Phillips, Multi-weight enveloping : least-squares approximation techniques for skin animation, Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation, pp.129-138, 2002.

D. Xu, H. Zhang, and H. Bao, Non-uniform Differential Mesh Deformation, Lecture Notes in Computer Science (Special Issue for Computer Graphics International, 2006.
DOI : 10.1007/11784203_5

D. Xu, H. Zhang, Q. Wang, and H. Bao, Poisson shape interpolation, ACM Symposium on Solid and Physical Modeling, pp.267-274, 2005.
DOI : 10.1145/1060244.1060274

J. [. Yang and . Zhang, Realistic Skeleton Driven Skin Deformation, Lecture Notes in Computer Science, 2005.
DOI : 10.1007/11424857_119
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.96.3076

K. Yu, D. Zhou, X. Xu, H. Shi, B. Bao et al., Mesh editing with poisson-based gradient field manipulation, pp.644-651, 2004.

K. Zhou, J. Huang, J. Snyder, X. Liu, H. Bao et al., Large mesh deformation using the volumetric graph Laplacian, ACM Transactions on Graphics, vol.24, issue.3, pp.496-503, 2005.
DOI : 10.1145/1073204.1073219

X. Zhou and J. Luin, NURBS-based Galerkin method and application to skeletal muscle modeling, Proceedings of the 2005 ACM symposium on Solid and physical modeling , SPM '05, pp.71-78, 2005.
DOI : 10.1145/1060244.1060253