J. Bey, Verfeinerung von Tetraeder-Gittern, Computing, vol.10, issue.4, pp.355-378, 1995.
DOI : 10.1007/BF02238487

D. Bielser, P. Glardon, M. Teschner, and M. H. Gross, A state machine for real-time cutting of tetrahedral meshes, Graphical Models, vol.66, issue.6, pp.398-417, 2004.
DOI : 10.1016/j.gmod.2004.05.009

D. Bielser, V. A. Maiwald, and M. H. Gross, Interactive Cuts through 3-Dimensional Soft Tissue, Computer Graphics Forum, vol.18, issue.3, pp.31-38, 1999.
DOI : 10.1111/1467-8659.00325

D. Burkhart, B. Hamann, and G. Umlauf, Adaptive and Feature-Preserving Subdivision for High-Quality Tetrahedral Meshes, Computer Graphics Forum, vol.1, issue.3, pp.117-127, 2010.
DOI : 10.1111/j.1467-8659.2009.01581.x

N. Chentanez, R. Alterovitz, D. Ritchie, L. Cho, K. K. Hauser et al., Interactive simulation of surgical needle insertion and steering, ACM Transactions on Graphics, vol.28, issue.3, pp.1-8810, 2009.
DOI : 10.1145/1531326.1531394

S. Cotin, H. Delingette, and N. Ayache, A hybrid elastic model for real-time cutting, deformations, and force feedback for surgery training and simulation, The Visual Computer, vol.16, issue.8, pp.437-452, 2000.
DOI : 10.1007/PL00007215
URL : https://hal.archives-ouvertes.fr/hal-01386233

H. Courtecuisse, J. Allard, P. Kerfriden, S. P. Bordas, S. Cotin et al., Real-time simulation of Christoph J

C. Dick, J. Georgii, and R. Westermann, A hexahedral multigrid approach for simulating cuts in deformable objects. Visualization and Computer Graphics, IEEE Transactions on, vol.17, issue.11, pp.1663-1675, 2011.

F. Faure, C. Duriez, H. Delingette, J. Allard, B. Gilles et al., SOFA: A Multi-Model Framework for Interactive Physical Simulation, pp.283-321, 2012.
DOI : 10.1007/8415_2012_125
URL : https://hal.archives-ouvertes.fr/hal-00681539

C. Felippa and B. Haugen, A unified formulation of small-strain corotational finite elements: I. Theory, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.21-24, pp.2285-2335, 2005.
DOI : 10.1016/j.cma.2004.07.035

F. Ganovelli, P. Cignoni, C. Montani, and R. Scopigno, A Multiresolution Model for Soft Objects Supporting Interactive Cuts and Lacerations, Computer Graphics Forum, vol.19, issue.3, pp.271-281, 2000.
DOI : 10.1111/1467-8659.00419

W. Hackbusch and S. Sauter, Composite finite elements for the approximation of PDEs on domains with complicated micro-structures, Numerische Mathematik, vol.75, issue.4, pp.447-472, 1997.
DOI : 10.1007/s002110050248

L. T. Kohn, J. M. Corrigan, and M. S. Donaldson, To err is human: building a safer health system, 2000.

D. Koschier, S. Lipponer, and J. Bender, Adaptive tetrahedral meshes for brittle fracture simulation, Proceedings of the 2014 ACM SIGGRAPH/Eurographics Symposium on Computer Animation. Eurographics Association, 2014.

P. Kraemer, L. Untereiner, T. Jund, S. Thery, and D. Cazier, CGoGN: n-dimensional Meshes with Combinatorial Maps, 22nd International Meshing Roundtable, pp.485-503, 2013.
DOI : 10.1007/978-3-319-02335-9_27
URL : https://hal.archives-ouvertes.fr/hal-01162100

N. Molino, Z. Bao, and R. Fedkiw, A virtual node algorithm for changing mesh topology during simulation, ACM SIGGRAPH 2005 Courses, SIGGRAPH '05, 2005.

A. Mor and T. Kanade, Modifying Soft Tissue Models: Progressive Cutting with Minimal New Element Creation, Lecture Notes in Computer Science, vol.1935, pp.598-607, 2000.
DOI : 10.1007/978-3-540-40899-4_61

H. W. Nienhuys and A. Frank-van-der-stappen, A Surgery Simulation Supporting Cuts and Finite Element Deformation, Medical Image Computing and Computer-Assisted Intervention, pp.145-152, 2001.
DOI : 10.1007/3-540-45468-3_18
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.4371

O. 'brien, J. F. Hodgins, and J. K. , Graphical modeling and animation of brittle fracture, Proceedings of the 26th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH '99, pp.137-146, 1999.

Y. Payan, Soft tissue biomechanical modeling for computer assisted surgery, 2012.
DOI : 10.1007/978-3-642-29014-5
URL : https://hal.archives-ouvertes.fr/hal-00706776

M. C. Rivara, Local modification of meshes for adaptive and/or multigrid finite-element methods, Journal of Computational and Applied Mathematics, vol.36, issue.1, pp.79-89, 1991.
DOI : 10.1016/0377-0427(91)90227-B

S. Sauter and R. Warnke, Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients, Computing, vol.7, issue.1, pp.29-55, 2006.
DOI : 10.1007/s00607-005-0150-2

S. Schaefer, J. P. Hakenberg, and J. Warren, Smooth subdivision of tetrahedral meshes, Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing , SGP '04, pp.147-154, 2004.
DOI : 10.1145/1057432.1057452

E. Sifakis, K. G. Der, and R. Fedkiw, Arbitrary cutting of deformable tetrahedralized objects, Proceedings of the 2007 ACM SIGGRAPH/Eurographics Symposium on Computer Animation, SCA '07, pp.73-80

. Ville and S. Switzerland, URL http, 2007.

L. Stanculescu, R. Chaine, M. P. Cani, and K. Singh, Sculpting multi-dimensional nested structures, Computers & Graphics, vol.37, issue.6, pp.753-763, 2013.
DOI : 10.1016/j.cag.2013.05.010
URL : https://hal.archives-ouvertes.fr/hal-00865552

D. Steinemann, M. Harders, M. Gross, and G. Szekely, Hybrid Cutting of Deformable Solids, IEEE Virtual Reality Conference (VR 2006), pp.35-42, 2006.
DOI : 10.1109/VR.2006.74

J. Wu, C. Dick, and R. Westermann, Interactive highresolution boundary surfaces for deformable bodies with changing topology, Proceedings of 8th Workshop on Virtual Reality Interaction and Physical Simulation (VRIPHYS) 2011, pp.29-38, 2011.

J. Wu, R. Westermann, and C. Dick, A Survey of Physically Based Simulation of Cuts in Deformable Bodies, Eurographics 2014 State-of-the-Art Report, pp.1-19, 2014.
DOI : 10.1111/cgf.12528

J. Wu, R. Westermann, and C. Dick, Real-time haptic cutting of high resolution soft tissues, Studies in Health Technology and Informatics (Proc. Medicine Meets Virtual Reality 2014, pp.469-475, 2014.

Y. Zhang, T. Hughes, and C. Bajaj, An automatic 3D mesh generation method for domains with multiple materials, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.5-8, pp.405-415, 2010.
DOI : 10.1016/j.cma.2009.06.007