A. Et-alberola-lopez, ;. S. Aja-fernandez, and C. Alberola-lopez, On the estimation of the coefficient of variation for anisotropic diffusion speckle filtering, IEEE Transactions on Image Processing, vol.15, issue.9, pp.1057-7149, 2006.

[. Andronache, Non-rigid registration of multi-modal images using both mutual information and cross-correlation, Medical image analysis, vol.12, issue.1, pp.3-15, 2008.

, Atlanta Vascular and Vein Clinic. Transarterial Chemoebolization (TACE, pp.2019-2028, 2019.

. Aylward, Registration of preoperative liver model for laparoscopic surgery from intraoperative 3d acquisition, Cone beam computed tomography (CBCT) in the field of interventional oncology of the liver, vol.55, pp.8-20, 2003.

. Bauer, ;. C. Bischof, H. Bauer, and . Bischof, Edge Based Tube Detection for Coronary Artery Centerline Extraction, 2008.

[. Bay, Global cancer statistics 2018: GLOBOCAN estimates of incidence and mortality worldwide for 36 cancers in 185 countries, Computer Science Research Notes, vol.68, pp.394-424, 2006.

[. Brunet, Physics-based Deep Neural Network for Augmented Reality during Liver Surgery, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02158862

[. Burkard, , 2009.

, Tree matching applied to vascular system, International Workshop on Graph-Based Representations in Pattern Recognition, pp.183-192, 2005.

[. Chen, Registration of 3D shapes under anisotropic scaling, International journal of computer assisted radiology and surgery, vol.10, issue.6, pp.867-878, 2015.

M. Cho and K. M. Lee, Progressive graph matching: Making a move of graphs via probabilistic voting, 2012 IEEE Conference on Computer Vision and Pattern Recognition, pp.398-405, 2012.

[. Cho, Reweighted Random Walks for Graph Matching, Proceedings of the 11th European Conference on Computer Vision: Part V, ECCV'10, pp.978-981, 2010.

. Collins, A hybrid elastic model for real-time cutting, deformations, and force feedback for surgery training and simulation, Advances in Neural Information Processing Systems, vol.36, pp.313-320, 2000.

[. Courtecuisse, GPU-based real-time soft tissue deformation with cutting and haptic feedback, Progress in biophysics and molecular biology, vol.103, issue.2-3, pp.159-168, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00686056

[. Debbaut, Analyzing the human liver vascular architecture by combining vascular corrosion casting and micro-CT scanning: a feasibility study, Journal of anatomy, vol.224, issue.4, pp.509-517, 2014.

. Deng, New approaches to catheter navigation for interventional radiology simulation, Information Processing Letters, vol.2010, issue.56, pp.300-308, 1995.

. Frankel, Automatic ultrasound-MRI registration for neurosurgery using the 2D and 3D LC2 Metric, Journal of gastrointestinal oncology, vol.3, issue.1, pp.1312-1319, 2012.

G. Guevara, Biomechanics-based graph matching for augmented CT-CBCT, IJCARS, pp.1861-6429, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01761521

G. Guevara, Elastic Registration Based on Compliance Analysis and Biomechanical Graph Matching, Using Contours as Boundary Conditions for Elastic Registration during Minimally Invasive Hepatic In International Conference on Intelligent Robots and Systems, vol.21, pp.584-597, 2015.
URL : https://hal.archives-ouvertes.fr/hal-02404758

[. Heinrich, MIND: Modality independent neighbourhood descriptor for multi-modal deformable registration, Medical Image Analysis, vol.16, issue.7, pp.1423-1435, 2012.

[. Heiselman, , 2017.

. Miga, Characterization and correction of intraoperative soft tissue deformation in image-guided laparoscopic liver surgery, Journal of Medical Imaging, vol.5, issue.2, p.203, 2017.

[. Heizmann, Assessment of intraoperative liver deformation during hepatic resection: prospective clinical study, World journal of surgery, vol.34, issue.8, pp.1887-1893, 2010.

[. Iwazawa, Clinical utility and limitations of tumor-feeder detection software for liver cancer embolization, International Conference on Medical Image Computing and Computer-Assisted Intervention, vol.82, pp.829-836, 2004.

[. Kim, Planning ultrasound for percutaneous radiofrequency ablation to treat small (< 3 cm) hepatocellular carcinomas detected on computed tomography or magnetic resonance imaging: a multicenter prospective study to assess factors affecting ultrasound visibility, Journal of Vascular and Interventional Radiology, vol.23, issue.5, pp.627-634, 2012.

[. Kingham, 3D image guidance assisted identification of colorectal cancer liver metastases not seen on intraoperative ultrasound: results from a prospective trial, HPB, vol.20, issue.3, pp.260-267, 2018.

. Klein, Automatic segmentation of the prostate in 3D MR images by atlas matching using localized mutual information, Medical physics, vol.35, issue.4, pp.1407-1417, 2008.

[. Krissian, Model-Based Detection of Tubular Structures in 3D Images, Computer Vision and Image Understanding, vol.80, issue.2, pp.130-171, 2000.
URL : https://hal.archives-ouvertes.fr/inria-00072929

[. Lange, Vessel-based non-rigid registration of MR/CT and 3D ultrasound for navigation in liver surgery, Int J Comput Assist Radiol Surg, vol.8, issue.5, pp.79-88, 2003.

G. Lehmann-;-m.-leordeanu, M. Hebert, ;. Lindseth, T. Langø, T. Selbekk et al., A Spectral Technique for Correspondence Problems using Pairwise Constraints, Advancements and breakthroughs in ultrasound imaging, vol.2, pp.1482-1489, 2005.

;. D. Lowe, . Lowe, and . Luu, Niessen et T. van Walsum. Quantification of nonrigid liver deformation in radiofrequency ablation interventions using image registration, International journal of computer vision, vol.60, issue.2, p.5, 2004.

[. Malbrain, The neglected role of abdominal compliance in organ-organ interactions, Biomechanics of Living Organs, vol.20, pp.243-265, 2016.

[. Martínez, Structure and Appearance Optimization for Controllable Shape Design, ACM Trans. Graph, vol.34, issue.6, pp.1-229, 2015.

[. Matl, Vascular image registration techniques: A living review, Medical Image Analysis, vol.35, pp.1-17, 2017.

[. Mauri, Real-time US-CT/MRI image fusion for guidance of thermal ablation of liver tumors undetectable with US: results in 295 cases, Computer methods and programs in biomedicine, vol.38, issue.1, pp.71-91, 2015.

[. Moriconi, Elastic Registration of Geodesic Vascular Graphs, MICCAI 2018, pp.810-818, 2018.

, Brain-shift compensation using intraoperative ultrasound and constraint-based biomechanical simulation, Medical image analysis, vol.40, pp.133-153, 2017.

[. Nam, Automatic registration between 3D intra-operative ultrasound and pre-operative CT images of the liver based on robust edge matching, Phys Med Biol, vol.57, issue.1, p.69, 2011.

[. Nesme, Efficient, Physically Plausible Finite Elements, Eurographics, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00394480

[. Oktay, Soler et C. Chefd'hotel. Biomechanically Driven Registration of Preto Intra-Operative 3D Images for Laparoscopic Surgery, Int. Conf. MICCAI, pp.1-9, 2013.

, Ultrafast cone-beam computed tomography: a comparative study of imaging protocols during image-guided therapy procedure, BioMed research international, vol.2015, 2015.

, Detectability of hepatic tumors during 3D post-processed ultrafast cone-beam computed tomography, International Conference on Medical Image Computing and Computer-Assisted Intervention, vol.60, pp.50-57, 2012.

[. Peterlík, Fast elastic registration of soft tissues under large deformations, Medical image analysis, vol.45, pp.24-40, 2018.

. Peters, ;. T. Cleary, K. Peters, . A. Cleary-;-m, J. Pinheiro et al., Incremental B-spline deformation model for geometric graph matching, ISBI, vol.39, pp.2171-2185, 2008.

[. Plantefève, Patient-Specific Biomechanical Modeling for Guidance During Minimally-Invasive Hepatic Surgery, Intravascular Imaging and Computer Assisted Stenting, and Large-Scale Annotation of Biomedical Data and Expert Label Synthesis, vol.44, pp.20-28, 2016.

;. J. Przemieniecki and . Przemieniecki, Theory of Matrix Structural Analysis, 1985.

. Ramos-llorden, Anisotropic diffusion filter with memory based on speckle statistics for ultrasound images, IEEE Transactions on Image Processing, vol.24, issue.1, pp.345-358, 2015.

C. Rasmussen and C. Williams, Gaussian processes for machine learning, 2006.

[. Reaungamornrat, MIND demons: symmetric diffeomorphic deformable registration of MR and CT for image-guided spine surgery, IEEE transactions on medical imaging, vol.35, issue.11, pp.2413-2424, 2016.

. [reinertsen, Validation of vessel-based registration for correction of brain shift, Medical image analysis, vol.11, issue.4, pp.374-388, 2007.

[. Rivaz, Automatic deformable MR-ultrasound registration for image-guided neurosurgery, Workshop on Clinical Image-Based Procedures, vol.34, pp.106-113, 2012.

. [robben, Anatomical labeling of the Circle of Willis using maximum a posteriori graph matching, International Conference on Medical Image Computing and Computer-Assisted Intervention, pp.566-573, 2013.

[. Roche, Cone-beam CT angiography for determination of tumor-feeding vessels during chemoembolization of liver tumors: comparison of conventional and dedicated-software analysis, Medical Image Computing and Computer-Assisted Intervention -MICCAI'98, vol.27, pp.712-721, 1998.

[. Schneider, Intra-operative "pick-up" ultrasound for robot assisted surgery with vessel extraction and registration: A feasibility study, p.9783642215032, 2011.

[. Serradell, Simultaneous correspondence and non-rigid 3D reconstruction of the coronary tree from single X-ray images, 2011 International Conference on Computer Vision, pp.850-857, 2011.

[. Serradell, Non-rigid graph registration using active testing search, IEEE Trans Pattern Anal Mach Intell, vol.37, issue.3, pp.625-638, 2015.

. Smeets, GPU accelerated segmentation and centerline extraction of tubular structures from medical images, Deep Learning and Data Labeling for Medical Applications, vol.2, pp.2019-2023, 2010.

[. Song, Sotiras, C. Davatzikos et N. Paragios. Deformable Medical Image Registration: A Survey, International journal of computer assisted radiology and surgery, vol.10, issue.12, pp.1153-1190, 2013.

. Speidel, Intraoperative surface reconstruction and biomechanical modeling for soft tissue registration, Proc. Joint Workshop on New Technologies for Computer/Robot Assisted Surgery, pp.25-28, 2010.

, Physics-based shape matching for intraoperative image guidance, Medical physics, vol.41, issue.11, p.111, 2014.

, How I Do It: Cone-Beam CT during Transarterial Chemoembolization for Liver Cancer, European Conference on Computer Vision, vol.274, pp.596-609, 2008.

;. G. Et-derrickson, B. H. Tortora, and . Derrickson, Principles of anatomy and physiology, 2008.

[. Torzilli, Image-guided laparoscopic surgery in an open MRI operating theater, Ultrasound-Guided Liver Surgery, vol.24, pp.2178-2184, 2005.

. Van-pelt, Centrifugal-order distributions in binary topological trees, Bulletin of Mathematical Biology, vol.51, issue.4, pp.511-536, 1989.

[. Vercauteren, Diffeomorphic demons: Efficient non-parametric image registration, NeuroImage, vol.45, issue.1, pp.61-72, 2009.
URL : https://hal.archives-ouvertes.fr/inserm-00349600

[. Verscheure, Three-dimensional skeletonization and symbolic description in vascular imaging: preliminary results. International journal of computer assisted radiology and surgery, 38th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), vol.8, pp.3342-3345, 2008.
URL : https://hal.archives-ouvertes.fr/hal-01181350

;. F. Et-de-la-torre, F. Zhou, and T. De-la, Factorized graph matching, IEEE transactions on pattern analysis and machine intelligence, vol.38, pp.1774-1789, 2015.