T. Alderliesten, Simulation of Minimally-Invasive Vascular Interventions for Training Purposes, 2004.

H. J. Cloft, G. J. Joseph, F. C. Tong, J. H. Goldstein, and J. E. Dion, Use of three-dimensional guglielmi detachable coils in the treatment of wide-necked cerebral aneurysms, 1999.

H. Courtecuisse, J. Allard, C. Duriez, and S. Cotin, Preconditioner-based contact response and application to cataract surgery, Medical Image Computing and Computer-Assisted Intervention?MICCAI, pp.315-322, 2011.

J. Dequidt, C. Duriez, S. Cotin, and E. Kerrien, Towards Interactive Planning of Coil Embolization in Brain Aneurysms, Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I, MICCAI '09, pp.377-385, 2009.
DOI : 10.1007/978-3-642-04268-3_47
URL : https://hal.archives-ouvertes.fr/inria-00430867

J. Dequidt, J. Lenoir, and S. Cotin, Interactive Contacts Resolution Using Smooth Surface Representation, Proc. Medical Image Computing and Computer-Assisted Interventions (MICCAI), pp.850-857, 2007.
DOI : 10.1007/978-3-540-75759-7_103

J. Dequidt, M. Marchal, C. Duriez, E. Kerien, and S. Cotin, Interactive simulation of embolization coils: Modeling and experimental validation, Medical Image Computing and Computer-Assisted Intervention?MICCAI, pp.695-702, 2008.

C. Duriez, S. Cotin, J. Lenoir, and P. F. Neumann, New approaches to catheter navigation for interventional radiology simulation, Computer Aided Surgery, vol.11, issue.6, pp.300-308, 2006.
DOI : 10.1016/S0045-7825(97)00137-0
URL : https://hal.archives-ouvertes.fr/hal-01386225

C. Duriez, F. Dubois, A. Kheddar, and C. Andriot, Realistic haptic rendering of interacting deformable objects in virtual environments, IEEE Transactions on Visualization and Computer Graphics, vol.12, issue.1, pp.36-47, 2006.
DOI : 10.1109/TVCG.2006.13
URL : https://hal.archives-ouvertes.fr/hal-00269404

S. Elcott, Y. Tong, E. Kanso, P. Schröder, and M. Desbrun, Stable, circulation-preserving, simplicial fluids, ACM Transactions on Graphics, vol.26, issue.1, p.4, 2007.
DOI : 10.1145/1189762.1189766
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.116.8973

A. Frangi, W. Niessen, R. Hoogeveen, T. Van-walsum, and M. Viergever, Model-based quantitation of 3-D magnetic resonance angiographic images, IEEE Transactions on Medical Imaging, vol.18, issue.10, pp.946-956, 1999.
DOI : 10.1109/42.811279

A. Frangi, W. Niessen, K. Vincken, and M. Viergever, Multiscale vessel enhancement filtering, Medical Image Computing and Computer-Assisted Intervention ? MICCAI, pp.130-137, 1998.

O. Friman, M. Hindennach, C. Kühnel, and H. Peitgen, Multiple hypothesis template tracking of small 3D vessel structures, Medical Image Analysis, vol.14, issue.2, pp.160-171, 2010.
DOI : 10.1016/j.media.2009.12.003

R. Goldman, Curvature formulas for implicit curves and surfaces, Computer Aided Geometric Design, vol.22, issue.7, pp.632-658, 2005.
DOI : 10.1016/j.cagd.2005.06.005

C. Groden, J. Laudan, S. Gatchell, and H. Zeumer, Three-Dimensional Pulsatile Flow Simulation Before and After Endovascular Coil Embolization of a Terminal Cerebral Aneurysm, Journal of Cerebral Blood Flow & Metabolism, vol.86, issue.12, pp.1464-1471, 2001.
DOI : 10.1097/00004647-200112000-00011

U. Hoefer, T. Langen, J. Nziki, F. Zeitler, J. Hesser et al., Cathi -catheter instruction system, Computer Assisted Radiology and Surgery (CARS), pp.101-107, 2002.

J. Hop, G. Rinkel, A. Algra, and J. Van-gijn, Case-Fatality Rates and Functional Outcome After Subarachnoid Hemorrhage : A Systematic Review, Stroke, vol.28, issue.3, pp.660-664, 1997.
DOI : 10.1161/01.STR.28.3.660

J. Huang and J. Van-gelder, The Probability of Sudden Death from Rupture of Intracranial Aneurysms: A Meta-analysis, Neurosurgery, vol.51, issue.5, p.1101, 2002.
DOI : 10.1097/00006123-200211000-00001

F. Jourdan, P. Alart, and M. Jean, A Gauss-Seidel like algorithm to solve frictional contact problems, Computer Methods in Applied Mechanics and Engineering, vol.155, issue.1-2, pp.33-47, 1998.
DOI : 10.1016/S0045-7825(97)00137-0

N. Kakalis, A. Mitsos, J. Byrne, and Y. Ventikos, The Haemodynamics of Endovascular Aneurysm Treatment: A Computational Modelling Approach for Estimating the Influence of Multiple Coil Deployment, IEEE Transactions on Medical Imaging, vol.27, issue.6, pp.814-824, 2008.
DOI : 10.1109/TMI.2008.915549

S. Kumar and A. Petho, An algorithm for the numerical inversion of a tridiagonal matrix, Communications in Numerical Methods in Engineering, vol.23, issue.4, pp.353-359, 1993.
DOI : 10.1002/cnm.1640090409

D. Lesage, E. Angelini, I. Bloch, and G. Funka-lea, A review of 3D vessel lumen segmentation techniques: Models, features and extraction schemes, Medical Image Analysis, vol.13, issue.6, pp.819-845, 2009.
DOI : 10.1016/j.media.2009.07.011

Y. Masutani, K. Masamune, and T. Dohi, Region-growing based feature extraction algorithm for tree-like objects, Visualization in Biomedical Computing LNCS, vol.1131, pp.159-171, 1996.
DOI : 10.1007/BFb0046951

J. Mazumdar, Biofluid mechanics, 1992.

R. Mcgregor, D. Szczerba, K. Muralidhar, and G. Székely, A fast alternative to computational fluid dynamics for high quality imaging of blood flow, Medical Image Computing and Computer-Assisted Intervention?MICCAI, pp.124-131, 2009.

K. Mcleod, A. Caiazzo, M. Fernández, T. Mansi, I. Vignon-clementel et al., Atlas-based reduced models of blood flows for fast patient-specific simulations, Statistical Atlases and Computational Models of the Heart pp, pp.95-104, 2010.

J. Montagnat, Deformable Modelling for 3D and 4D Medical Image Segmentation, 1999.

H. Morales, I. Larrabide, M. Kim, M. Villa-uriol, J. Macho et al., Virtual coiling of intracranial aneurysms based on dynamic path planning, Medical Image Computing and Computer-Assisted Intervention?MICCAI, pp.355-362, 2011.

S. Muraki, Volumetric shape description of range data using ???Blobby Model???, ACM SIGGRAPH Computer Graphics, vol.25, issue.4, pp.227-235, 1991.
DOI : 10.1145/127719.122743

W. Nowinski and C. Chui, Simulation of interventional neuroradiology procedures, MIAR, pp.87-94, 2001.

M. Pauly, D. Pai, and G. Leonidas, Quasi-rigid objects in contact, Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation , SCA '04, pp.109-119, 2004.
DOI : 10.1145/1028523.1028539

S. Prakash and C. Ethier, Requirements for Mesh Resolution in 3D Computational Hemodynamics, Journal of Biomechanical Engineering, vol.123, issue.2, p.134, 2001.
DOI : 10.1115/1.1351807

B. Preim and S. Oeltze, 3d visualization of vasculature: An overview, Visualization in Medicine and Life Sciences, Mathematics and Visualization, pp.39-59, 2008.

Y. Sato, S. Nakajima, H. Atsumi, T. Koller, G. Gerig et al., 3D multi-scale line filter for segmentation and visualization of curvilinear structures in medical images, Medical Image Analysis, vol.2, pp.143-168, 1998.
DOI : 10.1007/BFb0029240

C. Schumann, M. Neugebauer, R. Bade, B. Preim, and H. Peitgen, Implicit vessel surface reconstruction for visualization and CFD simulation, International Journal of Computer Assisted Radiology and Surgery, vol.37, issue.2, pp.275-286, 2008.
DOI : 10.1007/s11548-007-0137-x

A. Sherstyuk, Kernel functions in convolution surfaces: a comparative analysis, The Visual Computer, vol.15, issue.4, pp.171-182, 1999.
DOI : 10.1007/s003710050170

G. Slabaugh, Q. G. Dinh, and U. , A Variational Approach to the Evolution of Radial Basis Functions for Image Segmentation, 2007 IEEE Conference on Computer Vision and Pattern Recognition, pp.1-8, 2007.
DOI : 10.1109/CVPR.2007.383013

J. Spillmann and M. Harders, Inextensible elastic rods with torsional friction based on Lagrange multipliers, Computer Animation and Virtual Worlds, vol.26, issue.3, pp.561-572, 2009.
DOI : 10.1002/cav.362

G. Taubin, Estimation of planar curves, surfaces, and nonplanar space curves defined by implicit equations with applications to edge and range image segmentation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.11, pp.1115-1138, 1991.
DOI : 10.1109/34.103273

J. Tournois, C. Wormser, P. Alliez, and M. Desbrun, Interleaving Delaunay refinement and optimization for practical isotropic tetrahedron mesh generation, ACM Transactions on Graphics, vol.28, issue.3, pp.1-9, 2009.
DOI : 10.1145/1531326.1531381
URL : https://hal.archives-ouvertes.fr/inria-00359288

N. Tsingos, E. Bittar, and M. Cani, Implicit Surfaces for Semi-automatic Medical Organ Reconstruction, CGI'95), pp.3-15, 1995.
DOI : 10.1016/B978-0-12-227741-2.50005-0

J. Tyrrell, E. Di-tomaso, D. Fuja, R. Tong, K. Kozak et al., Robust 3-D Modeling of Vasculature Imagery Using Superellipsoids, IEEE Transactions on Medical Imaging, vol.26, issue.2, pp.223-237, 2007.
DOI : 10.1109/TMI.2006.889722

O. Wink, W. Niessen, and M. Viergever, Fast delineation and visualization of vessels in 3-D angiographic images, IEEE Transactions on Medical Imaging, vol.19, issue.4, pp.337-346, 2000.
DOI : 10.1109/42.848184