E. Akleman, J. Chen, and V. Srinivasan, A new paradigm for changing topology of 2-manifold polygonal meshes, Pacific Graphics'2000, pp.192-201, 2000.

F. Aubert and D. Bechmann, Animation by Deformation of Space-Time Objects, Computer Graphics Forum, vol.16, issue.3, pp.57-66, 1997.
DOI : 10.1111/1467-8659.16.3conferenceissue.7

A. H. Barr, Global and local deformations of solid primitives, Computer Graphics (SIGGRAPH'84), pp.21-29, 1984.

R. Bishop, There is More than One Way to Frame a Curve, The American Mathematical Monthly, vol.82, issue.3, pp.246-251, 1975.
DOI : 10.2307/2319846

P. Borrel and D. Bechmann, DEFORMATION OF N-DIMENSIONAL OBJECTS, International Journal of Computational Geometry & Applications, vol.01, issue.04, pp.427-453, 1991.
DOI : 10.1142/S0218195991000281

T. Brahana, Systems of Circuits on Two-Dimensional Manifolds, The Annals of Mathematics, vol.23, issue.2, pp.144-168, 1921.
DOI : 10.2307/1968030

Y. Chang and A. 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

S. Coquillart, Extended free-form deformation: A sculpturing tool for 3D geometric modeling, Computer Graphics (SIGGRAPH '90), pp.187-196, 1990.
URL : https://hal.archives-ouvertes.fr/inria-00075308

T. H. Cormen, C. E. Leiserson, and R. L. Rivest, Introduction to Algorithms, 1990.

D. Decarlo and J. Gallier, Topological evolution of surfaces, Graphics Interface'96, pp.194-203, 1996.

D. Decarlo and D. Metaxas, Shape evolution with structural and topological changes using blending, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.20, issue.11, pp.1186-1205, 1998.
DOI : 10.1109/34.730554

H. Delingette, Y. Watanabe, and Y. Suenaga, Simplex Based Animation, Computer Animation'93, Models and Techniques in Computer Animation, pp.13-28, 1993.
DOI : 10.1007/978-4-431-66911-1_2

URL : https://hal.archives-ouvertes.fr/inria-00615712

]. M. Finiasz, Déformation de polyèdre avec changements de topologie, 2000.

A. T. Fomenko and T. L. Kunii, Topological Modeling for Visualization, 1997.
DOI : 10.1007/978-4-431-66956-2

K. Fujimura, On cutting a torus, Proceedings of 1997 International Conference on Shape Modeling and Applications, 1997.
DOI : 10.1109/SMA.1997.634877

I. Guskov and Z. Wood, Topological noise removal, Graphic Interface'2001, 2001.

H. Kartasheva, The algorithm for automatic cutting od threedimensional polyhedron of h-genus, International Conference of Shape Modelling and Applications, pp.26-33, 1999.

L. Kettner, Designing a data structure for polyhedral surfaces, Proceedings of the fourteenth annual symposium on Computational geometry , SCG '98, pp.146-154, 1998.
DOI : 10.1145/276884.276901

F. Klok, Two moving coordinate frames for sweeping along a 3D trajectory, Computer Aided Geometric Design, vol.3, issue.3, pp.217-229, 1986.
DOI : 10.1016/0167-8396(86)90039-7

F. Lazarus, S. Coquillart, and P. Jancène, Axial deformations: an intuitive deformation technique, Computer-Aided Design, vol.26, issue.8, pp.607-613, 1994.
DOI : 10.1016/0010-4485(94)90103-1

F. Lazarus, M. Pocchiola, G. Vegter, and A. Verroust, Computing a canonical polygonal schema of an orientable triangulated surface, Proceedings of the seventeenth annual symposium on Computational geometry , SCG '01, pp.80-89, 2001.
DOI : 10.1145/378583.378630

URL : https://hal.archives-ouvertes.fr/hal-00804691

F. Lazarus and A. Verroust, Level set diagrams of polyhedral objets, SMA'99 (Fifth ACM Symposium on Solid Modeling and Applications), 1999.

T. Sedeberg and S. Parry, Free-form deformations of solid geometric models, Computer Graphics (SIGGRAPH'86), pp.151-160, 1986.

G. Vegter and C. K. Yap, Computational complexity of combinatorial surfaces, Proceedings of the sixth annual symposium on Computational geometry , SCG '90, pp.102-111, 1990.
DOI : 10.1145/98524.98546