C. M. Gosselin and J. Merlet, The direct kinematics of planar parallel manipulators: Special architectures and number of solutions. Mechanism and Machine Theory, pp.291083-1097, 1994.

P. Wenger, Classification of 3R Positioning Manipulators, Journal of Mechanical Design, vol.120, issue.2, p.327, 1998.
DOI : 10.1115/1.2826976
URL : https://hal.archives-ouvertes.fr/hal-00145367

P. Borrel and A. Liegeois, A study of multiple manipulator inverse kinematic solutions with applications to trajectory planning and workspace determination, Proceedings. 1986 IEEE International Conference on Robotics and Automation, pp.1180-1185, 1986.
DOI : 10.1109/ROBOT.1986.1087554

K. H. Hunt and E. J. Primrose, Assembly configurations of some in-parallel-actuated manipulators. Mechanism and Machine Theory, pp.31-42, 1993.

C. Innocenti and V. Parenti-castelli, Singularity-Free Evolution From One Configuration to Another in Serial and Fully-Parallel Manipulators, Journal of Mechanical Design, vol.120, issue.1, pp.73-79, 1998.
DOI : 10.1115/1.2826679

P. R. Mcaree and R. W. Daniel, An Explanation of Never-Special Assembly Changing Motions for 3-3 Parallel Manipulators, The International Journal of Robotics Research, vol.18, issue.6, pp.556-574, 1999.
DOI : 10.1177/02783649922066394

X. Kong and C. Gosselin, Type synthesis of 5-DOF parallel manipulators based on screw theory, J. Field Robotics, vol.22, issue.10, pp.535-547, 2005.

E. Macho, O. Altuzarra, C. Pinto, and A. Hernandez, Singularity free change of assembly mode in parallel manipulators. Application to the 3-RPR planar platform, 12th IFToMM World Congr, 2007.

M. L. Husty, Non-singular assembly mode change in 3-RPR-parallel manipulators, Computational Kinematics: Proceedings of the 5th International Workshop on Computational Kinematics, p.51, 2009.
DOI : 10.1007/978-3-642-01947-0_7

H. Bamberger, A. Wolf, and M. Shoham, Assembly Mode Changing in Parallel Mechanisms, IEEE Transactions on Robotics, vol.24, issue.4, pp.765-772, 2008.
DOI : 10.1109/TRO.2008.926863

M. Zein, P. Wenger, and D. Chablat, Singular curves and cusp points in the joint space of 3-RPR parallel manipulators, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006., pp.717-724, 2007.
DOI : 10.1109/ROBOT.2006.1641804
URL : https://hal.archives-ouvertes.fr/hal-00184991

C. Gosselin, J. Sefrioui, and M. Richard, Solutions polynomiales auprobì eme de la cinématique directe des manipulateursparalì eles plansàplansà trois degrés de liberté. Mechanism and machine theory, pp.107-119, 1992.
DOI : 10.1016/0094-114x(92)90001-x

I. A. Bonev, D. Zlatanov, and C. M. Gosselin, Singularity Analysis of 3-DOF Planar Parallel Mechanisms via Screw Theory, Journal of Mechanical Design, vol.125, issue.3, p.573, 2003.
DOI : 10.1115/1.1582878

J. Omri and P. Wenger, How to recognize simply a non-singular posture changing 3-dof manipulator, Proc. 7th Int. Conf. on Advanced Robotics, pp.215-222, 1995.

S. Corvez and F. Rouillier, Using Computer Algebra Tools to Classify Serial Manipulators, Automated Deduction in Geometry, pp.31-43, 2002.
DOI : 10.1007/978-3-540-24616-9_3
URL : https://hal.archives-ouvertes.fr/inria-00100987

T. Becker and V. Weispfenning, Gröbner bases, volume 141 of Graduate Texts in Mathematics, 1993.

D. Lazard and F. Rouillier, Solving parametric polynomial systems, Journal of Symbolic Computation, vol.42, issue.6, pp.636-667, 2007.
DOI : 10.1016/j.jsc.2007.01.007
URL : https://hal.archives-ouvertes.fr/inria-00070678

C. Gosselin and J. Angeles, Singularity analysis of closed-loop kinematic chains, IEEE Transactions on Robotics and Automation, vol.6, issue.3, pp.281-290, 1990.
DOI : 10.1109/70.56660

M. Elkadi and B. Mourrain, IntroductionàIntroductionà la résolution des systèmes d'´ equations algébriques, of Mathématiques et Applications, 2007.

D. Cox, J. Little, and D. Shea, Using algebraic geometry, Graduate Texts in Mathematics, vol.185, 1998.
DOI : 10.1007/978-1-4757-6911-1

F. Rouillier, Solving Zero-Dimensional Systems Through the Rational Univariate Representation, Applicable Algebra in Engineering, Communication and Computing, vol.9, issue.5, pp.433-461, 1999.
DOI : 10.1007/s002000050114
URL : https://hal.archives-ouvertes.fr/inria-00073264

D. Eisenbud, Commutative algebra with a view toward algebraic geometry, volume 150 of Graduate Texts in Mathematics, 1994.

J. Faugere, A new efficient algorithm for computing Gröbner bases (F4) Journal of pure and applied algebra, pp.61-88, 1999.

J. Merlet, Parallel Robots, volume 74 of Solid Mechanics and its Applications

D. Cox, J. Little, and D. Shea, Ideals, Varieties, and Algorithms. Undergraduate Texts in Mathematics, 1992.

J. Faugère, G. Moroz, F. Rouillier, and M. , Safey El Din. Classification of the perspective-three-point problem, discriminant variety and real solving polynomial systems of inequalities, Proceedings of the 2008 International Symposium on Symbolic and Algebraic Computation, 2008.

S. Liang, J. Gerhard, D. J. Jeffrey, and G. Moroz, A Package for Solving Parametric Polynomial Systems, Communication in Computer Algebra, p.61, 2009.