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
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.347.6961
Sofa-an open source framework for medical simulation, MMVR 15- Medicine Meets Virtual Reality, pp.13-18, 2007. ,
URL : https://hal.archives-ouvertes.fr/inria-00319416
Large steps in cloth simulation, Proceedings of the 25th annual conference on Computer graphics and interactive techniques , SIGGRAPH '98, pp.43-54, 1998. ,
DOI : 10.1145/280814.280821
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.323.8780
Roldan Pozo, Charles Romine, and Henk Van der Vorst. Templates for the solution of linear systems: building blocks for iterative methods, Siam, vol.43, 1994. ,
Direct Estimation of Non-Rigid Registration, Procedings of the British Machine Vision Conference 2004, pp.899-908, 2004. ,
DOI : 10.5244/C.18.92
Finite Element Procedures in Engineering Analysis, Journal of Pressure Vessel Technology, vol.106, issue.4, 1982. ,
DOI : 10.1115/1.3264375
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
Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering, vol.55, issue.5, pp.601-620, 1999. ,
DOI : 10.1115/1.3656897
Meshless methods: An overview and recent developments, Computer Methods in Applied Mechanics and Engineering, vol.139, issue.1-4, pp.3-47, 1996. ,
DOI : 10.1016/S0045-7825(96)01078-X
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.132.8046
Element-free Galerkin methods, International Journal for Numerical Methods in Engineering, vol.95, issue.2, pp.229-256, 1994. ,
DOI : 10.1093/mnras/181.3.375
A Survey on Position-Based Simulation Methods in Computer Graphics, Computer graphics forum, pp.228-251, 2014. ,
DOI : 10.1109/TVCG.2012.79
Verfeinerung von Tetraeder-Gittern, Computing, vol.10, issue.4, pp.355-378, 1995. ,
DOI : 10.1007/978-3-662-02427-0
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
Interactive Cuts through 3-Dimensional Soft Tissue, Computer Graphics Forum, vol.18, issue.3, pp.31-38, 1999. ,
DOI : 10.1111/1467-8659.00325
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.17.1334
Pyramidal Implementation of the Lucas Kanade Feature Tracker: Description of the algorithm, 2002. ,
A survey of interactive meshcutting techniques and a new method for implementing generalized interactive mesh cutting using virtual tools. The journal of visualization and computer animation, pp.21-42, 2002. ,
Real-time error controlled adaptive mesh refinement: Application to needle insertion simulation Adaptive and featurepreserving subdivision for high-quality tetrahedral meshes, Computer Graphics Forum, vol.29, issue.1, pp.117-127, 2010. ,
Comparison of the performance of some finite element discretizations for large deformation elasticity problems, Computers & Structures, vol.88, issue.11-12, pp.664-673, 2010. ,
DOI : 10.1016/j.compstruc.2010.02.007
Computation of rayleigh damping coefficients for large systems, The Electronic Journal of Geotechnical Engineering, vol.8, issue.0, 2003. ,
Lectures on three-dimensional elasticity, 1983. ,
Numerical linear algebra, Handbook of Computational Statistics, pp.105-137, 2012. ,
Efficient Nonlinear FEM for Soft Tissue Modelling and Its GPU Implementation within the Open Source Framework SOFA, International Symposium on Biomedical Simulation, pp.28-39, 2008. ,
DOI : 10.1007/978-3-540-70521-5_4
URL : https://hal.archives-ouvertes.fr/hal-00841568
A hybrid elastic model for real-time cutting, deformations, and force feedback for surgery training and simulation. The Visual Computer, pp.437-452, 2000. ,
DOI : 10.1007/pl00007215
URL : https://hal.archives-ouvertes.fr/hal-01386233
Improving Echo-Guided Procedures Using an Ultrasound-CT Image Fusion System, Surgical Innovation, vol.42, issue.3, pp.217-222, 2015. ,
DOI : 10.1002/jcu.22141
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. ,
A combinatorial representation of polyhedral surfaces. Notices of the, 1960. ,
SOFA: A Multi-Model Framework for Interactive Physical Simulation, 2012. ,
DOI : 10.1007/8415_2012_125
URL : https://hal.archives-ouvertes.fr/hal-00681539
SOFA: A Multi-Model Framework for Interactive Physical Simulation, Soft Tissue Biomechanical Modeling for Computer Assisted Surgery, pp.283-321, 2012. ,
DOI : 10.1007/8415_2012_125
URL : https://hal.archives-ouvertes.fr/hal-00681539
Serial registration of intraoperative MR images of the brain, Medical Image Analysis, vol.6, issue.4, pp.337-359, 2002. ,
DOI : 10.1016/S1361-8415(02)00060-9
A unified topological-physical model for adaptive refinement, Workshop on Virtual Reality Interaction and Physical Simulation, pp.39-48, 2014. ,
Condition of finite element matrices generated from nonuniform meshes., AIAA Journal, vol.1971, issue.2, pp.219-221, 1972. ,
DOI : 10.1007/BF02162515
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
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.42.9577
Finite element method: Applications in solids, structures , and heat transfer, 2005. ,
Brainlab vectorvision neuronavigation system: technology and clinical experiences in 131 cases, Neurosurgery, vol.44, issue.1, pp.97-104, 1999. ,
Meshless thin-shell simulation based on global conformal parameterization, IEEE transactions on visualization and computer graphics, vol.12, issue.3, pp.375-385, 2006. ,
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
Single view augmentation of 3d elastic objects Stéphane Cotin. Physics-based Augmented Reality for 3D Deformable Object, Mixed and Augmented Reality (ISMAR) VRIPHYS -Virtual Reality Interaction and Physical Simulation, pp.229-236, 2012. ,
DOI : 10.1109/ismar.2014.6948432
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.660.2897
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, 2013. ,
DOI : 10.1109/ISMAR.2013.6671780
URL : https://hal.archives-ouvertes.fr/hal-00842855
Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility, International Journal of Solids and Structures, vol.40, issue.11, pp.2767-2791, 2003. ,
DOI : 10.1016/S0020-7683(03)00086-6
Nonlinear solid mechanics, Wiley Chichester, vol.24, 2000. ,
CPU???GPU mixed implementation of virtual node method for real-time interactive cutting of deformable objects using OpenCL, International Journal of Computer Assisted Radiology and Surgery, vol.9, issue.2, pp.1477-1491, 2015. ,
DOI : 10.1016/j.media.2004.11.002
Real-time prediction of brain shift using nonlinear finite element algorithms, International Conference on Medical Image Computing and Computer-Assisted Intervention, pp.300-307, 2009. ,
Suite of finite element algorithms for accurate computation of soft tissue deformation for surgical simulation, Medical Image Analysis, vol.13, issue.6, pp.912-919, 2009. ,
DOI : 10.1016/j.media.2008.12.001
Snakes: Active contour models, International Journal of Computer Vision, vol.5, issue.6035, pp.321-331, 1988. ,
DOI : 10.1007/BF00133570
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.124.5318
Enrichment textures for detailed cutting of shells, In ACM Transactions on Graphics, vol.28, p.50, 2009. ,
Introduction to nonlinear finite element analysis, 2014. ,
DOI : 10.1007/978-1-4419-1746-1
To err is human: building a safer health system, 2000. ,
Adaptive tetrahedral meshes for brittle fracture simulation, Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation, pp.57-66, 2014. ,
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
Real-time deformation, registration and tracking of solids based on physical simulation, 2014 IEEE International Symposium on Mixed and Augmented Reality (ISMAR), pp.165-170, 2014. ,
DOI : 10.1109/ISMAR.2014.6948423
An iterative image registration technique with an application to stereo vision, Proceedings of the 7th international joint conference on Artificial intelligence, pp.674-679, 1981. ,
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
Improving depth perception during surgical augmented reality, ACM SIGGRAPH 2015 Posters on, SIGGRAPH '15, p.24, 2015. ,
DOI : 10.1145/2787626.2792654
URL : https://hal.archives-ouvertes.fr/hal-01191101
Mathematical foundations of elasticity, Courier Corporation, 1994. ,
Polyhedral Finite Elements Using Harmonic Basis Functions, Computer Graphics Forum, vol.6, issue.4, pp.1521-1529, 2008. ,
DOI : 10.1111/j.1467-8659.2008.01293.x
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.506.4198
Towards a face-based smoothed finite element method for real-time simulation of the brain shift Adaptive resolution for topology modifications in physicallybased animation, 2014. ,
Interactive physically-based shape editing, Proceedings of the 2008 ACM symposium on Solid and physical modeling, pp.79-89, 2008. ,
DOI : 10.1145/1364901.1364915
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.144.8984
Fast and accurate computation of polyhedral mass properties, 1996. ,
DOI : 10.1201/b10628-17
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.127
A virtual node algorithm for changing mesh topology during simulation, ACM SIGGRAPH 2005 Courses, SIGGRAPH '05, 2005. ,
DOI : 10.1145/1015706.1015734
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.683
Modifying soft tissue models: Progressive cutting with minimal new element creation, Medical Image Computing and Computer-Assisted Intervention (MICCAI), pp.598-607, 1935. ,
Capturing 3D stretchable surfaces from single images in closed form, 2009 IEEE Conference on Computer Vision and Pattern Recognition, pp.1842-1849, 2009. ,
DOI : 10.1109/CVPR.2009.5206758
Point based animation of elastic, plastic and melting objects, Proceedings of the 2004 ACM SIG- GRAPH/Eurographics symposium on Computer animation, pp.141-151, 2004. ,
Physically Based Deformable Models in Computer Graphics, Computer graphics forum, pp.809-836, 2006. ,
DOI : 10.1145/1015706.1015733
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 Surgery Simulation Supporting Cuts and Finite Element Deformation, International Conference on 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
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. ,
Non-linear elastic deformations, Courier Corporation, 1997. ,
Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Computational mechanics, pp.225-235, 1996. ,
DOI : 10.1007/s004660050142
Scientific Computing: eine Einführung in das wissenschaftliche Rechnen und parallele Numerik, 2013. ,
Dissection of hybrid soft tissue models using position-based dynamics, Proceedings of the 20th ACM Symposium on Virtual Reality Software and Technology, VRST '14, pp.219-220, 2014. ,
DOI : 10.1145/2503713.2503743
Realtime haptic manipulation and cutting of hybrid soft tissue models by extended position-based dynamics, Computer Animation and Virtual Worlds, vol.26, pp.3-4321, 2015. ,
Real-time dissection of organs via hybrid coupling of geometric metaballs and physicscentric mesh-free method. The Visual Computer, pp.1-12, 2016. ,
Metaballs-based physical modeling and deformation of organs for virtual surgery. The Visual Computer, pp.31-37, 2015. ,
Simulation of complex cuts in soft tissue with the extended finite element method (x-fem), Preprint Series of the Engineering Mathematics and Computing Lab, p.2014 ,
Augmented reality during cutting and tearing of deformable objects, Mixed and Augmented Reality (ISMAR), pp.54-59, 2015. ,
Surgical augmented reality with topological changes, International Conference on Medical Image Computing and Computer-Assisted Intervention, 2015. ,
Virtual cutting of deformable objects based on efficient topological operations. The Visual Computer, pp.31-37, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01208546
Virtual cutting of deformable objects based on efficient topological operations, Computer Graphics International (CGI), 2015. ,
DOI : 10.1016/j.cma.2009.06.007
URL : https://hal.archives-ouvertes.fr/hal-01208546
Handling topological changes during elastic registration, International Journal of Computer Assisted Radiology and Surgery, vol.196, issue.11, p.2016 ,
DOI : 10.1118/1.4896021
URL : https://hal.archives-ouvertes.fr/hal-01397409
Meshless animation of fracturing solids, ACM Transactions on Graphics, vol.24, issue.3, pp.957-964, 2005. ,
DOI : 10.1145/1073204.1073296
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3001686/pdf
Meshless animation of fracturing solids, ACM Transactions on Graphics, vol.24, issue.3, pp.957-964, 2005. ,
DOI : 10.1145/1073204.1073296
Monocular Template-based Reconstruction of Inextensible Surfaces, International Journal of Computer Vision, vol.67, issue.2, pp.124-137, 2011. ,
DOI : 10.1007/s11263-005-3962-9
URL : https://hal.archives-ouvertes.fr/hal-00344576
Real-time tracking of 3D elastic objects with an RGB-D sensor, 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp.3914-3921, 2015. ,
DOI : 10.1109/IROS.2015.7353928
Tracking Fractures of Deformable Objects in Real-Time with an RGB-D Sensor, 2015 International Conference on 3D Vision, pp.632-639, 2015. ,
DOI : 10.1109/3DV.2015.78
Splitting cubes: a fast and robust technique for virtual cutting. The Visual Computer, pp.227-239, 2009. ,
DOI : 10.1007/s00371-008-0216-1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.170.262
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 : https://infoscience.epfl.ch/record/128417/files/PiletLF07.pdf
Atlas-Based Transfer of Boundary Conditions for Biomechanical Simulation, Medical Image Computing and Computer-Assisted Intervention (MICCAI), pp.33-40, 2014. ,
DOI : 10.1007/978-3-319-10470-6_5
URL : https://hal.archives-ouvertes.fr/hal-01070339
Dynamic guidance for robotic surgery using imageconstrained biomechanical models, Medical Image Computing and Computer-Assisted Intervention (MICCAI), pp.77-85, 2010. ,
DOI : 10.1007/978-3-642-15705-9_10
Virtual reality based laparoscopic surgery simulation, Proceedings of the 21st ACM Symposium on Virtual Reality Software and Technology, pp.69-78, 2015. ,
Junjun Pan, and Jianjun Zhang. Essential techniques for laparoscopic surgery simulation, Computer Animation and Virtual Worlds, 2016. ,
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
Linear local models for monocular reconstruction of deformable surfaces. Pattern Analysis and Machine Intelligence, pp.931-944, 2011. ,
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
Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients, Computing, vol.7, issue.1, pp.29-55, 2006. ,
DOI : 10.1007/978-3-642-84659-5
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.87.8395
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
Solving unsymmetric sparse systems of linear equations with PARDISO, Future Generation Computer Systems, vol.20, issue.3, pp.475-487, 2004. ,
DOI : 10.1016/j.future.2003.07.011
Simulation of surgical cutting of soft tissue using the x-fem, Preprint Series of the Engineering Mathematics and Computing Lab, p.2013 ,
Robust interactive cutting based on an adaptive octree simulation mesh. The Visual Computer, pp.519-529, 2011. ,
DOI : 10.1007/s00371-011-0561-3
What is a good linear finite element? interpolation, conditioning , anisotropy, and quality measures (preprint), p.73, 2002. ,
An introduction to the conjugate gradient method without the agonizing pain, 1994. ,
Particle Coding for Meshfree Cutting of Deformable Assets, Proceedings of the 2014 Indian Conference on Computer Vision Graphics and Image Processing, ICVGIP '14, p.6, 2014. ,
DOI : 10.1145/369028.369087
A quality tetrahedral mesh generator and threedimensional delaunay triangulator. Weierstrass Institute for Applied Analysis and Stochastic, 2006. ,
FEM simulation of 3D deformable solids, ACM SIGGRAPH 2012 Posters on, SIGGRAPH '12, p.20, 2012. ,
DOI : 10.1145/2343483.2343501
Arbitrary cutting of deformable tetrahedralized objects, Proceedings of the 2007 ACM SIGGRAPH/Eurographics Symposium on Computer Animation, SCA '07, p.73, 2007. ,
Hybrid simulation of deformable solids, Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation, pp.81-90, 2007. ,
High-Fidelity Cataract Surgery Simulation and Third World Blindness, Surgical Innovation, vol.38, issue.2, p.1553350614537120, 2014. ,
DOI : 10.1016/j.jcrs.2011.11.014
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4365142
Waves and rays in elastic continua, World Scientific, 2010. ,
Visual tracking of da vinci instruments for laparoscopic surgery, SPIE Medical Imaging International Society for Optics and Photonics, pp.903608-903608, 2014. ,
Hybrid Cutting of Deformable Solids, IEEE Virtual Reality Conference (VR 2006), pp.35-42, 2006. ,
DOI : 10.1109/VR.2006.74
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.5031
Fast arbitrary splitting of deforming objects, Proceedings of the 2006 ACM SIG- GRAPH/Eurographics symposium on Computer animation, pp.63-72, 2006. ,
Soft tissue cutting control method with surgical scalpel ,
An introduction to numerical analysis, 2003. ,
DOI : 10.1017/CBO9780511801181
Real-Time Biomechanical Modeling for Intraoperative Soft Tissue Registration, 2013. ,
DOI : 10.1117/12.878228
Physics-based shape matching for intraoperative image guidance, Hannes Kenngott, Beat P. Müller, and Stefanie Speidel, p.41111901, 2014. ,
DOI : 10.1118/1.4896021.1
Quadratic Corotated Finite Elements for Real-Time Soft Tissue Registration, Computational Biomechanics for Medicine, pp.39-50, 2012. ,
DOI : 10.1007/978-1-4614-3172-5_6
Adaptive physics based tetrahedral mesh generation using level sets, Engineering with Computers, vol.100, issue.4, pp.2-18, 2005. ,
DOI : 10.1007/s00366-005-0308-8
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.92.2232
Tracking deformable surfaces that undergo topological changes using an rgb-d camera Laparoscopic liver resection: a systematic review, 3D Vision (3DV), 2016 Fourth International Conference on, pp.333-341410, 2009. ,
DOI : 10.1109/3dv.2016.42
Back to elementstetrahedra vs. hexahedra, Proceedings of the 2004 International AN- SYS Conference, 2004. ,
An adaptive virtual node algorithm with robust mesh cutting, Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation, pp.77-85, 2014. ,
A Finite Element Method on Convex Polyhedra, Computer Graphics Forum, pp.355-364, 2007. ,
DOI : 10.1007/BF02127699
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.137.8002
Nonlinear finite element methods, 2008. ,
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. ,
Efficient collision detection for composite finite element simulation of cuts in deformable bodies, The Visual Computer, vol.1, issue.2, pp.739-749, 2013. ,
DOI : 10.1109/TOH.2008.1
A Survey of Physically Based Simulation of Cuts in Deformable Bodies, Eurographics Stateof-the-Art Report, 2014. ,
DOI : 10.1117/12.594379
Real-time haptic cutting of high resolution soft tissues, Studies in Health Technology and Informatics (Proc. Medicine Meets Virtual Reality), pp.469-475, 2014. ,
Image-guided procedures: A review, Computer Aided Interventions and Medical Robotics, vol.3, pp.1-63, 2006. ,
3d finite element meshing from imaging data Computer methods in applied mechanics and engineering, pp.5083-5106, 2005. ,
Progressive Finite Newton Approach To Real-time Nonrigid Surface Detection, 2007 IEEE Conference on Computer Vision and Pattern Recognition, pp.1-8, 2007. ,
DOI : 10.1109/CVPR.2007.383200
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.78.1031