Abramowitz 65] Milton Abramowitz, Irene A Stegunet al. Handbook of mathematical functions, 1965. ,
Control theory from the geometric viewpoint, 2004. ,
OBPRM : An Obstacle-based PRM for 3D Workspaces, Proceedings of the Third Workshop on the Algorithmic Foundations of Robotics on Robotics : The Algorithmic Perspective., WAFR '98, pp.155-168, 1998. ,
Probabilistic roadmap motion planning for deformable objects, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292), pp.2126-2133, 2002. ,
DOI : 10.1109/ROBOT.2002.1014854
Manipulation planning on constraint manifolds, Robotics and Automation, 2009. ICRA'09. IEEE International Conference on, pp.625-632, 2009. ,
Singularities of optimal control problems on some 6-D Lie groups. Automatic Control, IEEE Transactions on, vol.52, issue.6, pp.1027-1038, 2007. ,
Path planning using lazy PRM, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065), pp.521-528, 2000. ,
DOI : 10.1109/ROBOT.2000.844107
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.19.1989
A randomized algorithm for robot path planning based on lazy evaluation, Handbook on Randomized Computing, pp.221-249, 2001. ,
Optimal control problems on lie groups with symmetry breaking cost functions, 2015. ,
The free configuration space of a Kirchhoff elastic rod is path-connected, 2015 IEEE International Conference on Robotics and Automation (ICRA), pp.2958-2964, 2015. ,
DOI : 10.1109/ICRA.2015.7139604
Quasi-static manipulation of a Kirchhoff elastic rod based on a geometric analysis of equilibrium configurations, The International Journal of Robotics Research, vol.29, issue.13, pp.48-68, 2014. ,
DOI : 10.1017/CBO9780511546877
Applied optimal control : optimization, estimation and control, 1975. ,
The complexity of robot motion planning, 1988. ,
Principles of robot motion : theory, algorithms, and implementation, 2005. ,
Optimal motion planning for humanoid robots, 2013 IEEE International Conference on Robotics and Automation, pp.3136-3141, 2013. ,
DOI : 10.1109/ICRA.2013.6631013
URL : https://hal.archives-ouvertes.fr/hal-00715419
Improving motion planning in weakly connected configuration spaces, 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp.5900-5905, 2010. ,
DOI : 10.1109/IROS.2010.5650612
Efficient path planning for mobile robots in environments with deformable objects, 2008 IEEE International Conference on Robotics and Automation, 2008. ,
DOI : 10.1109/ROBOT.2008.4543784
Efficient motion planning for manipulation robots in environments with deformable objects, 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2011. ,
DOI : 10.1109/IROS.2011.6094946
An algorithm for finding best matches in logarithmic expected time, ACM Transactions on Mathematical Software (TOMS), vol.3, issue.3, pp.209-226, 1977. ,
Constraint-Based Motion Planning of Deformable Robots, Proceedings of the 2005 IEEE International Conference on Robotics and Automation, pp.1046-1053, 2005. ,
DOI : 10.1109/ROBOT.2005.1570254
Path Planning for Deformable Robots in Complex Environments, Robotics: Science and Systems I, pp.225-232, 2005. ,
DOI : 10.15607/RSS.2005.I.030
On Finding Narrow Passages with Probabilistic Roadmap Planners, Proceedings of the Third Workshop on the Algorithmic Foundations of Robotics on Robotics : The Algorithmic Perspective., WAFR '98, pp.141-153 ,
V-COLLIDE : accelerated collision detection for VRML, Proceedings of the second symposium on Virtual reality modeling language, p.117, 1997. ,
Principal component analysis, 2002. ,
DOI : 10.1007/978-1-4757-1904-8
Cable route planning in complex environments using constrained sampling, Proceedings of the 2007 ACM symposium on Solid and physical modeling , SPM '07, pp.395-402, 2007. ,
DOI : 10.1145/1236246.1236303
Sensory-based motion planning with global proofs Robotics and Automation, IEEE Transactions on, vol.13, issue.6, pp.814-822, 1997. ,
DOI : 10.1109/70.650160
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.111.1821
Range-sensor based navigation in three dimensions, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C), pp.163-169, 1999. ,
DOI : 10.1109/ROBOT.1999.769955
Sampling-based algorithms for optimal motion planning, The International Journal of Robotics Research, vol.23, issue.7, pp.846-894, 2011. ,
DOI : 10.1017/CBO9780511546877
Probabilistic roadmaps for path planning in highdimensional configuration spaces. Robotics and Automation, IEEE Transactions on, vol.12, issue.4, pp.566-580, 1996. ,
Dynamic Modeling and Simulation of a 3-D Serial Eel-Like Robot. Systems, Man, and Cybernetics , Part C : Applications and Reviews, IEEE Transactions on, vol.37, issue.6, pp.1259-1268, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00630752
RRT-connect : An efficient approach to single-query path planning, Robotics and Automation Proceedings. ICRA'00. IEEE International Conference on, pp.995-1001, 2000. ,
Planning Paths for Elastic Objects under Manipulation Constraints, The International Journal of Robotics Research, vol.20, issue.3, pp.188-208, 2001. ,
DOI : 10.1177/02783640122067354
The total squared curvature of closed curves, Journal of Differential Geometry, vol.20, issue.1, pp.1-22, 1984. ,
DOI : 10.4310/jdg/1214438990
Lagrangian Aspects of the Kirchhoff Elastic Rod, SIAM Review, vol.38, issue.4, pp.605-618, 1996. ,
DOI : 10.1137/S0036144593253290
Fast distance queries with rectangular swept sphere volumes, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065), pp.3719-3726, 2000. ,
DOI : 10.1109/ROBOT.2000.845311
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.28.9259
Robot motion planning, 1991. ,
DOI : 10.1007/978-1-4615-4022-9
Rapidly-Exploring Random Trees : A New Tool for Path Planning, 1998. ,
Rapidly-exploring random trees : Progress and prospects, 2000. ,
Randomized kinodynamic planning, The International Journal of Robotics Research, vol.20, issue.5, pp.378-400, 2001. ,
Planning algorithms, 2006. ,
Using manipulability to bias sampling during the construction of probabilistic roadmaps, IEEE Transactions on Robotics and Automation, vol.19, issue.6, pp.1020-1026, 2003. ,
DOI : 10.1109/TRA.2003.819732
Calculus of variations and optimal control theory : a concise introduction, 2012. ,
Spatial planning : A configuration space approach. Computers, IEEE Transactions on, vol.100, issue.2, pp.108-120, 1983. ,
DOI : 10.1109/tc.1983.1676196
URL : http://dspace.mit.edu/handle/1721.1/5684#files-area
Path-planning strategies for a point mobile automaton moving amidst unknown obstacles of arbitrary shape, Algorithmica, vol.2, issue.1-4, pp.403-430, 1987. ,
Deformable robot motion planning in a reduced-dimension configuration space, 2010 IEEE International Conference on Robotics and Automation, pp.5133-5138, 2010. ,
DOI : 10.1109/ROBOT.2010.5509649
Introduction to mechanics and symmetry : a basic exposition of classical mechanical systems, 2013. ,
The XDE Mechanical Kernel : Efficient and Robust Simulation of Multibody Dynamics with Intermittent Nonsmooth Contacts, Proceedings of the Second Joint International Conference on Multibody System Dynamics -IMSD 2012, 2012. ,
V-Clip: fast and robust polyhedral collision detection, ACM Transactions on Graphics, vol.17, issue.3, pp.177-208, 1998. ,
DOI : 10.1145/285857.285860
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.128.6538
Path planning for deformable linear objects, Robotics IEEE Transactions on, vol.22, issue.4, pp.625-636, 2006. ,
A mathematical introduction to robotic manipulation, 1994. ,
Numerical optimization, 2006. ,
DOI : 10.1007/b98874
Irreducible Motion Planning by Exploiting Linear Linkage Structures, In Transactions on Robotics, vol.15 ,
URL : https://hal.archives-ouvertes.fr/hal-01163259
Distance metrics on the rigid-body motions with applications to mechanism design, Journal of Mechanical Design, vol.117, issue.1, pp.48-54, 1995. ,
LQR-RRT*: Optimal sampling-based motion planning with automatically derived extension heuristics, 2012 IEEE International Conference on Robotics and Automation, pp.2537-2542, 2012. ,
DOI : 10.1109/ICRA.2012.6225177
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.221.856
Practical Local Planning in the Contact Space, Proceedings of the 2005 IEEE International Conference on Robotics and Automation, pp.4200-4205, 2005. ,
DOI : 10.1109/ROBOT.2005.1570765
URL : https://hal.archives-ouvertes.fr/hal-01148126
Complexity of the mover's problem and generalizations, Proceedings of the 20th Annual IEEE Conference on Foundations of Computer Science, pp.421-427, 1979. ,
Les intégrales et fonctions elliptiques, 2014. ,
´ Etude des groupes et algèbre de Lie Théorème de réduction de Lie-Poisson. Application au groupe spécial euclidien SE(3) etàetà son algèbre se(3) Rapport technique, LAAS-CNRS, 2015. ,
Exact robot navigation using artificial potential functions Robotics and Automation, IEEE Transactions on, vol.8, issue.5, pp.501-518, 1992. ,
DOI : 10.1109/70.163777
URL : http://repository.upenn.edu/cgi/viewcontent.cgi?article=1364&context=ese_papers
Continuum robots - a state of the art, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C), pp.2849-2854, 1999. ,
DOI : 10.1109/ROBOT.1999.774029
Planning motion in completely deformable environments, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006., pp.2466-2471, 2006. ,
DOI : 10.1109/ROBOT.2006.1642072
Manipulation planning with contacts for an extensible elastic rod by sampling on the submanifold of static equilibrium configurations, Robotics and Automation (ICRA), 2015 IEEE International Conference on, pp.3116-3121, 2015. ,
Inverse geometry for Kirchhoff elastic rods, IMA Conference on Mathematics of Robotics, 2015. ,
Calcul automatique de trajectoires pour l'assemblage d'objets déformables, 14ème Colloque national AIP-Primeca, 2015. ,
Nonlinear dimensionality reduction by locally linear embedding, Science, vol.290, issue.5500, pp.2323-2326, 2000. ,
Finding Narrow Passages with Probabilistic Roadmaps: The Small-Step Retraction Method, Autonomous Robots, vol.20, issue.5, pp.301-319, 2005. ,
DOI : 10.1007/s10514-005-4748-1
Manipulation Planning for Deformable Linear Objects, IEEE Transactions on Robotics, vol.23, issue.6, pp.1141-1150, 2007. ,
DOI : 10.1109/TRO.2007.907486
Mécanique des milieux continus : Concepts généraux, Editions Ecole Polytechnique, vol.1, 2005. ,
Mécanique des milieux continus : Milieux curvilignes, Editions Ecole Polytechnique, vol.3, 2005. ,
Robust and Scalable Navmesh Generation with multiple levels and stairs support, International Conference in Central Europe on Computer Graphics and Visualization (WSCG), 2013. ,
Adaptive dynamic collision checking for single and multiple articulated robots in complex environments, IEEE Transactions on Robotics, vol.21, issue.3, pp.338-353, 2005. ,
DOI : 10.1109/TRO.2004.838012
A finite strain beam formulation. The three-dimensional dynamic problem. Part I. Computer methods in applied mechanics and engineering, pp.55-70, 1985. ,
Lectures on elastic curves and rods, AIP Conference Proceedings, p.3, 2008. ,
Optimal trajectories for nonholonomic mobile robots, Robot motion planning and control, pp.93-170, 1998. ,
DOI : 10.1007/BFb0036072
The Open Motion Planning Library, IEEE Robotics & Automation Magazine, vol.19, issue.4, pp.72-82, 2005. ,
DOI : 10.1109/MRA.2012.2205651
A global geometric framework for nonlinear dimensionality reduction, Science, vol.290, issue.5500, pp.2319-2323, 2000. ,
Dynamic-Domain RRTs: Efficient Exploration by Controlling the Sampling Domain, Proceedings of the 2005 IEEE International Conference on Robotics and Automation, pp.3856-3861, 2005. ,
DOI : 10.1109/ROBOT.2005.1570709
Generating uniform incremental grids on SO (3) using the Hopf fibration. The International journal of robotics research, 2009. ,
An efficient retraction-based RRT planner, Robotics and Automation ICRA 2008. IEEE International Conference on, pp.3743-3750, 2008. ,
Multipartite RRTs for rapid replanning in dynamic environments, Robotics and Automation IEEE International Conference on, pp.1603-1609, 2007. ,