A. Angelidis, P. Jepp, and M. Cani, Implicit modeling with skeleton curves: Controlled blending in contact situations. Shape Modeling International, 2002.
URL : https://hal.archives-ouvertes.fr/inria-00537493

D. Baraff, Analytical methods for dynamic simulation of non-penetrating rigid bodies, ACM SIGGRAPH Computer Graphics, vol.233, pp.223-232, 1989.

J. Bloomenthal, C. Bajaj, J. Blinn, M. Cani, A. Rockwood et al., Introduction to Implicit Surfaces, 1997.

J. Bloomenthal and K. Shoemake, Convolution surfaces, ACM SIGGRAPH Computer Graphics, vol.25, issue.4, pp.251-256, 1991.
DOI : 10.1145/127719.122757

J. Bloomenthal and B. Wyvill, Interactive techniques for implicit modeling, ACM SIGGRAPH Computer Graphics, vol.24, issue.2, pp.109-116, 1990.
DOI : 10.1145/91394.91427
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.5945

M. Bro-nielsen and S. Cotin, Real-time Volumetric Deformable Models for Surgery Simulation using Finite Elements and Condensation, Computer Graphics Forum, vol.15, issue.3, pp.57-66, 1996.
DOI : 10.1111/1467-8659.1530057
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.49.2967

H. Cakmak and U. Kuhnapfel, Animation and simulation techniques for vrtraining systems in endoscopic surgery, Eurographics Workshop on Animation and Simulation, pp.173-185, 2000.

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

M. Cani and S. Hornus, Subdivision-curve primitives: a new solution for interactive implicit modeling, Proceedings International Conference on Shape Modeling and Applications, 2001.
DOI : 10.1109/SMA.2001.923378
URL : https://hal.archives-ouvertes.fr/inria-00510051

R. Catmull and R. Rom, A CLASS OF LOCAL INTERPOLATING SPLINES, Computer Aided Geometric Design, 1974.
DOI : 10.1016/B978-0-12-079050-0.50020-5

L. Personal-communication and . Soler, Virtual-surg manager at IRCAD. http://www.virtual-surg.com/English, 2002.

S. Coquillart, Computing offsets of B-spline curves, Computer-Aided Design, vol.19, issue.6, pp.305-309, 1987.
DOI : 10.1016/0010-4485(87)90284-3

S. Cotin, H. Delingette, and N. Ayache, Real time volumetric deformable models for surgery simulation, Visualization in Biomedical Computing, vol.1131, 1996.
DOI : 10.1007/BFb0046995
URL : https://hal.archives-ouvertes.fr/inria-00615771

J. Davanne, P. Meseure, and C. Chaillou, Stable haptic interaction in a dynamic virtual environment, IEEE/RSJ International Conference on Intelligent Robots and System, 2002.
DOI : 10.1109/IRDS.2002.1041708

G. Debunne, M. Desbrun, M. Cani, and A. H. Barr, Dynamic real-time deformations using space & time adaptive sampling, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, 2001.
DOI : 10.1145/383259.383262
URL : https://hal.archives-ouvertes.fr/inria-00510045

H. Delingette, G. Subsol, S. Cotin, and J. Pignon, A craniofacial surgery simulation testbed, Visualization in Biomedical Computing, pp.607-618, 1994.
URL : https://hal.archives-ouvertes.fr/inria-00074472

S. Fisher and M. Lin, Fast penetration depth estimation for elastic bodies using deformed distance fields, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180), 2001.
DOI : 10.1109/IROS.2001.973379

L. France, A. Angelidis, P. Meseure, M. Cani, J. Lenoir et al., Implicit representations of the human intestines for surgery simulations, Conference on Modelling and Simulation for Computer-aided Medicine and Surgery, 2002.
DOI : 10.1051/proc:2002009

L. France, J. Lenoir, P. Meseure, and C. Chaillou, Simulation of a minimally invasive surgery of intestines, Virtual Reality International Conference, pp.21-27, 2002.

A. Haristis, D. Gillies, and C. Williams, Realistic generation and real time animation of images of the human colon, Computer Graphics Forum, vol.3, pp.367-379, 1992.

S. Hornus, A. Angelidis, and M. Cani, Implicit modelling using subdivisioncurves . The Visual Computer, 2002.
URL : https://hal.archives-ouvertes.fr/inria-00510180

P. M. Hubbard, Approximating polyhedra with spheres for time-critical collision detection, ACM Transactions on Graphics, vol.15, issue.3, pp.179-209, 1996.
DOI : 10.1145/231731.231732

D. L. James and D. K. Pai, ArtDefo, Proceedings of the 26th annual conference on Computer graphics and interactive techniques , SIGGRAPH '99, pp.65-72, 1999.
DOI : 10.1145/311535.311542

J. T. Klosowski, M. Held, J. S. Mitchell, H. Sowizral, and K. Zikan, Efficient collision detection using bounding volume of k-dop's. TVCG(4), pp.21-36, 1998.

D. Lamy and C. Chaillou, Design, implementation and evaluation of an haptic interface for surgical gesture training, Virtual Reality and Prototyping Conference, 7mes journes du Groupe de Travail Ralit Virtuelle, pp.107-116, 1999.

P. Meseure and C. Chaillou, Deformable body simulation with adaptive subdivision and cuttings, Proc. WSCG Conference, pp.361-370, 1997.

V. Milenkovic and H. Schmidl, Optimization-based animation, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.37-46, 2001.
DOI : 10.1145/383259.383263

B. Mirtich and J. Canny, Impulse-based dynamic simulation, Proceedings of Workshop on Algorithmic Foundations of Robotics, 1994.

M. Moore and J. Wilhelms, Collision detection and response for computer animationr3, SIGGRAPH'88 Conference Proceedings, pp.289-298, 1988.
DOI : 10.1145/378456.378528

G. Picinbono, H. Delingette, and N. Ayache, Non-linear and anisotropic elastic soft tissue models for medical simulation, IEEE International Conference Robotics and Automation, 2001.
DOI : 10.1109/robot.2001.932801
URL : https://hal.archives-ouvertes.fr/inria-00615889

X. Provot, Deformation constraints in a mass-spring model to describe rigid cloth behavior, Graphics Interface, 1995.

Y. Remion, J. M. Nourrit, and D. Gillard, Dynamic animation of spline like objects, 1999.

A. Sherstyuk, Kernel functions in convolution surfaces: a comparative analysis. The Visual Computer, 1999.

D. Terzopoulos, J. Platt, A. Barr, and K. Fleischer, Elastically deformable models, Computer Graphics, 1987.
DOI : 10.1145/37401.37427
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.324.2890

F. Triquet, L. Grisoni, P. Meseure, and C. Chaillou, Realtime visualization of implicit objects with contact control, Proceedings of the 1st international conference on Computer graphics and interactive techniques in Austalasia and South East Asia , GRAPHITE '03, 2003.
DOI : 10.1145/604471.604508

F. Triquet, P. Meseure, and C. Chaillou, Fast polygonization of implicit surfaces, WSCG, issue.2, pp.283-290, 2001.

G. Van-den-bergen, Efficient Collision Detection of Complex Deformable Models using AABB Trees, Journal of Graphics Tools, vol.2, issue.4, pp.1-13, 1997.
DOI : 10.1201/b10628-18