S. Nicolau, L. Soler, D. Mutter, and J. Marescaux, Augmented reality in laparoscopic surgical oncology, Surgical Oncology, vol.20, issue.3, pp.189-201, 2011.
DOI : 10.1016/j.suronc.2011.07.002

A. Mitiche and P. Bouthemy, Computation and analysis of image motion: A synopsis of current problems and methods, International Journal of Computer Vision, vol.7, issue.4, pp.29-55, 1996.
DOI : 10.1007/BF00131147

A. Bartoli and A. Zisserman, Direct Estimation of Non-Rigid Registration, Procedings of the British Machine Vision Conference 2004, 2004.
DOI : 10.5244/C.18.92

J. Pilet, V. Lepetit, and P. Fua, Fast Non-Rigid Surface Detection, Registration and Realistic Augmentation, International Journal of Computer Vision, vol.20, issue.2, pp.109-122, 2008.
DOI : 10.1007/s11263-006-0017-9
URL : http://infoscience.epfl.ch/record/128417

J. Zhu and M. R. Lyu, Progressive finite newton approach to realtime nonrigid surface detection, Computer Vision and Pattern Recognition, pp.1-8, 2007.

V. Gay-bellile, A. Bartoli, and P. Sayd, Direct Estimation of Nonrigid Registrations with Image-Based Self-Occlusion Reasoning, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.32, issue.1, pp.87-104
DOI : 10.1109/TPAMI.2008.265
URL : https://hal.archives-ouvertes.fr/hal-00344663

A. Hilsmann, D. C. Schneider, and P. Eisert, Realistic cloth augmentation in single view video under occlusions, Computers & Graphics, vol.34, issue.5, pp.567-574, 2010.
DOI : 10.1016/j.cag.2010.05.015

M. Salzmann, J. Pilet, S. Ilic, and P. Fua, Surface Deformation Models for Nonrigid 3D Shape Recovery, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.29, issue.8, pp.1481-1487, 2007.
DOI : 10.1109/TPAMI.2007.1080
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.6904

S. Shen, W. Shi, and Y. Liu, Monocular 3-D Tracking of Inextensible Deformable Surfaces Under <formula formulatype="inline"><tex Notation="TeX">$L_2$</tex> </formula>-Norm, IEEE Transactions on Image Processing, vol.19, issue.2, pp.512-521, 2010.
DOI : 10.1109/TIP.2009.2038115

T. Hayashi, F. De-sorbier, and H. Saito, Texture overlay onto non-rigid surface using commodity depth camera, International Conference on Computer Vision Theory and Applications, pp.66-71, 2012.

A. Agudo, B. Calvo, and J. M. , Finite Element based sequential Bayesian Non-Rigid Structure from Motion, 2012 IEEE Conference on Computer Vision and Pattern Recognition, pp.1418-1425, 2012.
DOI : 10.1109/CVPR.2012.6247829

S. Wuhrer, J. Lang, and C. Shu, Tracking Complete Deformable Objects with Finite Elements, 2012 Second International Conference on 3D Imaging, Modeling, Processing, Visualization & Transmission, pp.1-8, 2012.
DOI : 10.1109/3DIMPVT.2012.16

A. Malti, R. Hartley, A. Bartoli, and J. Kim, Monocular Template-Based 3D Reconstruction of Extensible Surfaces with Local Linear Elasticity, 2013 IEEE Conference on Computer Vision and Pattern Recognition, pp.1522-1529, 2013.
DOI : 10.1109/CVPR.2013.200

D. Teber, S. Guven, T. Simpfendrfer, M. Baumhauer, E. O. Gven et al., Augmented Reality: A New Tool To Improve Surgical Accuracy during Laparoscopic Partial Nephrectomy? Preliminary In Vitro and In Vivo Results, European Urology, vol.56, issue.2, pp.332-338, 2009.
DOI : 10.1016/j.eururo.2009.05.017

M. Figl, D. Rueckert, D. Hawkes, R. Casula, M. Hu et al., Image guidance for robotic minimally invasive coronary artery bypass, Computerized Medical Imaging and Graphics, vol.34, issue.1, pp.61-68, 2010.
DOI : 10.1016/j.compmedimag.2009.08.002

L. Su, B. P. Vagvolgyi, R. Agarwal, C. E. Reiley, R. H. Taylor et al., Augmented Reality During Robot-assisted Laparoscopic Partial Nephrectomy: Toward Real-Time 3D-CT to Stereoscopic Video Registration, Urology, vol.73, issue.4, pp.896-900, 2009.
DOI : 10.1016/j.urology.2008.11.040
URL : http://ufdc.ufl.edu/LS00000396/00081

J. Kim, A. Bartoli, T. Collins, and R. Hartley, Tracking by Detection for Interactive Image Augmentation in Laparoscopy, Proceedings of the 5th international conference on Biomedical Image Registration, ser. WBIR'12, pp.246-255, 2012.
DOI : 10.1007/978-3-642-31340-0_26

G. Puerto-souza and G. Mariottini, Toward long-term and accurate Augmented-Reality display for minimally-invasive surgery, 2013 IEEE International Conference on Robotics and Automation, pp.5384-5389, 2013.
DOI : 10.1109/ICRA.2013.6631349

M. Sermesant, C. Forest, X. Pennec, H. Delingette, and N. Ayache, Deformable biomechanical models: Application to 4D cardiac image analysis, Medical Image Analysis, vol.7, issue.4, pp.475-488, 2003.
DOI : 10.1016/S1361-8415(03)00068-9
URL : https://hal.archives-ouvertes.fr/inria-00615637

T. Shen, H. Li, and X. Huang, Active Volume Models for Medical Image Segmentation, IEEE Transactions on Medical Imaging, vol.30, issue.3, pp.774-791, 2011.
DOI : 10.1109/TMI.2010.2094623

S. Suwelack, S. Rhl, S. Bodenstedt, D. Reichard, R. Dillmann et al., Physics-based shape matching for intraoperative image guidance, Medical Physics, vol.27, issue.4, 2014.
DOI : 10.1118/1.4896021.1

P. Pratt, D. Stoyanov, M. Visentini-scarzanella, and G. Yang, Dynamic Guidance for Robotic Surgery Using Image-Constrained Biomechanical Models, Proceedings of the 13th MICCAI: Part I, ser. MICCAI'10, pp.77-85, 2010.
DOI : 10.1007/978-3-642-15705-9_10

J. Schaerer, C. Casta, J. Pousin, and P. Clarysse, A dynamic elastic model for segmentation and tracking of the heart in MR image sequences, Medical Image Analysis, vol.14, issue.6, pp.738-749, 2010.
DOI : 10.1016/j.media.2010.05.009
URL : https://hal.archives-ouvertes.fr/hal-00877519

N. Haouchine, J. Dequidt, E. Kerrien, M. Berger, and S. Cotin, Physics-based Augmented Reality for 3D Deformable Object, VRIPHYS -Virtual Reality Interaction and Physical Simulation, pp.31-38, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00768362

N. Haouchine, J. Dequidt, M. Berger, and S. Cotin, Deformationbased Augmented Reality for Hepatic Surgery, pp.182-188
URL : https://hal.archives-ouvertes.fr/hal-00768372

N. Haouchine, J. Dequidt, I. Peterlik, E. Kerrien, M. Berger et al., Image-guided simulation of heterogeneous tissue deformation for augmented reality during hepatic surgery, 2013 IEEE International Symposium on Mixed and Augmented Reality (ISMAR), pp.199-208
DOI : 10.1109/ISMAR.2013.6671780
URL : https://hal.archives-ouvertes.fr/hal-00842855

L. Maier-hein, A. Groch, A. Bartoli, S. Bodenstedt, G. Boissonnat et al., Comparative Validation of Single-Shot Optical Techniques for Laparoscopic 3-D Surface Reconstruction, IEEE Transactions on Medical Imaging, vol.33, issue.10, pp.1913-1930, 2014.
DOI : 10.1109/TMI.2014.2325607
URL : https://hal.archives-ouvertes.fr/hal-01213477

L. Maier-hein, P. Mountney, A. Bartoli, H. Elhawary, D. Elson et al., Optical techniques for 3D surface reconstruction in computer-assisted laparoscopic surgery, Medical Image Analysis, vol.17, issue.8, pp.974-996, 2013.
DOI : 10.1016/j.media.2013.04.003

H. Bay, A. Ess, T. Tuytelaars, and L. Van-gool, Speeded-Up Robust Features (SURF), Computer Vision and Image Understanding, vol.110, issue.3, pp.346-359, 2008.
DOI : 10.1016/j.cviu.2007.09.014
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.205.738

B. D. Lucas and T. Kanade, An iterative image registration technique with an application to stereo vision, Proceedings of the 7th international joint conference on Artificial intelligence -Volume 2, ser. IJCAI'81, pp.674-679, 1981.

H. Elhawary and A. Popovic, Robust feature tracking on the beating heart for a robotic-guided endoscope, The International Journal of Medical Robotics and Computer Assisted Surgery, vol.27, issue.suppl 1, pp.459-468, 2010.
DOI : 10.1002/rcs.418

N. Haouchine, J. Dequidt, I. Peterlik, E. Kerrien, M. Berger et al., Towards an accurate tracking of liver tumors for augmented reality in robotic assisted surgery, 2014 IEEE International Conference on Robotics and Automation (ICRA), pp.4121-4126, 2014.
DOI : 10.1109/ICRA.2014.6907458
URL : https://hal.archives-ouvertes.fr/hal-01003262

Z. Zhang, A flexible new technique for camera calibration, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.22, issue.11, pp.1330-1334
DOI : 10.1109/34.888718

A. E. Kerdok, M. P. Ottensmeyer, and R. D. Howe, Effects of perfusion on the viscoelastic characteristics of liver, Journal of Biomechanics, vol.39, issue.12, pp.2221-2231, 2006.
DOI : 10.1016/j.jbiomech.2005.07.005

Z. Gao, T. Kim, D. L. James, and J. P. Desai, Semi-automated softtissue acquisition and modeling forsurgical simulation, Proceedings of the fifth annual IEEE international conference on Automation science and engineering, pp.268-273, 2009.
DOI : 10.1109/coase.2009.5234158

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

M. Nesme, Y. Payan, and F. Faure, Efficient, physically plausible finite elements, Eurographics 2005, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00394480

S. Marchesseau, T. Heimann, S. Chatelin, R. Willinger, and H. Delingette, Multiplicative Jacobian Energy Decomposition Method for Fast Porous Visco-Hyperelastic Soft Tissue Model, MICCAI 2010, ser, pp.235-242, 2010.
DOI : 10.1007/978-3-642-15705-9_29
URL : https://hal.archives-ouvertes.fr/hal-00593207

I. Peterlik, C. Duriez, and S. Cotin, Modeling and Real-Time Simulation of a Vascularized Liver Tissue, Proceedings of the 15th international conference on MICCAI -Volume Part I, ser. MICCAI'12, pp.50-57, 2012.
DOI : 10.1007/978-3-642-33415-3_7
URL : https://hal.archives-ouvertes.fr/hal-00800546

C. Duriez, S. Cotin, J. Lenoir, and P. 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

F. Faure, C. Duriez, H. Delingette, J. Allard, B. Gilles et al., SOFA: A Multi-Model Framework for Interactive Physical Simulation, " in Soft Tissue Biomechanical Modeling for Computer Assisted Surgery, ser. Studies in Mechanobiology Experimental in vitro mechanical characterization of porcine glisson's capsule and hepatic veins, Tissue Engineering and Biomaterials Journal of Biomechanics, vol.11, issue.44 9, pp.283-321, 2011.

F. Sanchez-margallo, J. Moyano-cuevas, R. Latorre, J. Maestre, L. Correa et al., Anatomical changes due to pneumoperitoneum analyzed by MRI: an experimental study in pigs, Surgical and Radiologic Anatomy, vol.24, issue.4, pp.389-396, 2011.
DOI : 10.1007/s00276-010-0763-9

A. Kerdok, S. Cotin, M. Ottensmeyer, A. Galea, R. Howe et al., Truth cube: Establishing physical standards for soft tissue simulation, Medical Image Analysis, vol.7, issue.3, pp.283-291, 2003.
DOI : 10.1016/S1361-8415(03)00008-2
URL : https://hal.archives-ouvertes.fr/hal-01386230

T. Mala, B. Edwin, I. Gladhaug, E. Fosse, O. Sreide et al., A comparative study of the short-term outcome following open and laparoscopic liver resection of colorectal metastases, Surgical Endoscopy, vol.16, issue.7, pp.1059-1063, 2002.
DOI : 10.1007/s00464-001-9176-5

H. Yamada, Strength of biological materials Baltimore: The williams and Wilkins Company, 1970.