Blaschke, W., 1960, "*Kinematik und Quaternionen. Mathematische Monographien*", Springer, New York.

Schröcker, H. -P., Husty, M. L., and McCarthy, J. M. M., 2007, “Kinematic Mapping Based Assembly Mode Evaluation of Planar Four-Bar Mechanisms,” ASME J. Mech. Des., 129 (9), pp. 924–929.

[CrossRef]Burdick, J. W., 1995, “A Classification of 3R Regional Manipulator Singularities and Geometries,” Mech. Mach. Theory, 30 , pp. 71–89.

[CrossRef]Cheng, H. H., and Thompson, S., 1999, “Singularity Analysis of Spatial Mechanisms Using Dual Polynomials and Complex Dual Numbers,” ASME J. Mech. Des., 121 , pp. 200–205.

[CrossRef]Kieffer, J., 1994, “Differential Analysis of Bifurcations and Isolated Singularities of Robots and Mechanisms,” IEEE Trans. Rob. Autom., 10 (1), pp. 1–10.

[CrossRef]Pernkopf, F., and Husty, M., 2002, “Singularity Analysis of Spatial Steward–Gough-Platforms With Planar Base and Platform,” Proceedings of the ASME Design Engineering Technical Conference (DETC) , Montreal.

Cheng, F. -T., Chen, J. -S., and Kung, F. -C., 1998, “Study and Resolution of Singularities for a 7-DOF Redundant Manipulator,” IEEE Trans. Ind. Electron., 45 (3), pp. 469–480.

[CrossRef]Tsumaki, Y., Kotera, S., Nenchev, D. N., and Uchiyama, M., 1997, “Singularity-Consistent Inverse Kinematics of a 6-DOF Manipulator With a Non-Spherical Wrist,” Proceedings of the IEEE International Conference on Robotics and Automation , Apr. 20–25, Vol. 4 , pp. 2980–2985.

Karger, A., 1996, “Singular Analysis of Serial Robot-Manipulators,” ASME J. Mech. Des., 118 , pp. 520–525.

[CrossRef]Karger, A., 1996, “Classification of Serial Robot-Manipulators With Non-Removable Singularities,” ASME J. Mech. Des., 118 , pp. 202–208.

[CrossRef]Pai, D. K., and Leu, M. C., 1992, “Genericity and Singularities of Robot Manipulators,” IEEE Trans. Rob. Autom., 8 (5), pp. 545–559.

[CrossRef]Tsai, K. Y., Arnold, J., and Kohli, D., 1993, “Generic Maps of Mechanical Manipulators,” Mech. Mach. Theory, 28 (1), pp. 53–64.

[CrossRef]Wenger, P., 1997, “Design of Cuspidal and Non-Cuspidal Robot Manipulators,” Proceedings of the IEEE International Conference on Robotics and Automation , pp. 2172–2175.

Gosselin, C. M., and Angeles, J., 1990, “Singular Analysis of Closed-Loop Kinematic Chains,” IEEE Trans. Rob. Autom., 6 (3), pp. 281–290.

[CrossRef]Di Gregorio, R., 2009, “A Novel Method for the Singularity Analysis of Planar Mechanisms With More Than One Degree of Freedom,” Mech. Mach. Theory, 44 , pp. 83–102.

[CrossRef]Karger, A., 2003, “Architecture Singular Planar Parallel Manipulators,” Mech. Mach. Theory, 38 (11), pp. 1149–1164.

[CrossRef]Merlet, J. P., 1989, “Singular Configurations of Parallel Manipulators and Grassmann Geometry,” Int. J. Robot. Res., 8 (5), pp. 45–56.

[CrossRef]Merlet, J. P., 2007, “A Formal-Numerical Approach for Robust In-Workspace Singularity Detection,” IEEE Trans. Rob. Autom., 23 (3), pp. 393–402.

Zlatanov, D., Fenton, R. G., and Benhabib, B., 1998, “Identification and Classification of the Singular Configurations of Mechanisms,” Mech. Mach. Theory, 33 (6), pp. 743–760.

[CrossRef]Gottlieb, D. H., 1988, “Topology and the Robot Arm,” Acta Appl. Math., 11 (2), pp. 117–121.

[CrossRef]Liu, G., Lou, Y., and Li, Z., 2003, “Singularities of Parallel Manipulators: A Geometric Treatment,” IEEE Trans. Rob. Autom., 19 (4), pp. 579–594.

[CrossRef]Park, F. C., and Kim, J. W., 1998, “Manipulability and Singularity Analysis of Multiple Robot Systems: A Geometric Approach,” Proceedings of the IEEE International Conference on Robotics and Automation , May 16–20, pp. 1032–1037.

Arponen, T., Piipponen, S., and Tuomela, J., 2009, “Kinematic Analysis of Bricard’s Mechanism,” Nonlinear Dyn., 56 (1–2), pp. 85–99.

[CrossRef]Corvez, S., and Rouillier, F., 2004, “Using Computer Algebra Tools Classify Serial Manipulators,” Proceedings of the Fourth International Workshop on Automated Deduction in Geometry , Linz, pp. 31–43.

Donelan, P. S., and Gibson, C. G., 2000, "*Geometrical Foundation of Robotics*", World Scientific Publishing, Singapore, pp. 61–79.

Donelan, P. S., 2007, “Singularity-Theoretic Methods in Robot Kinematics,” Robotica, 25 , pp. 641–659.

[CrossRef]Lerbet, J., and Hao, K., 1999, “Kinematics of Mechanisms to the Second Order—Application to Closed Mechanisms,” Acta Appl. Math., 59 , pp. 1–19.

[CrossRef]Müller, A., and Rico, J. M., 2008, "*Advances in Robot Kinematics*", J.J.Lenarcic and P.Wenger, eds., Springer, New York.

Golubitsky, M., and Guillemin, V., 1973, "*Stable Mappings and Their Singularities*", Springer, New York.

Tchoń, K., 1991, “Differential Topology of the Inverse Kinematic Problem for Redundant Robot Manipulators,” Int. J. Robot. Res., 10 , pp. 492–504.

[CrossRef]Paganelli, D., 2007, “The Ninth Homotopy Class of Spatial 3R Serial Regional Manipulators,” ASME J. Mech. Des., 129 (4), pp. 445–448.

[CrossRef]Chen, M. Z., 2006, A Classification of 6R Manipulators, arXiv:cs/0612029v1.

Wenger, P., 1998, “Classification of 3R Positioning Manipulators,” ASME J. Mech. Des., 120 , pp. 327–332.

[CrossRef]Zein, M., Wenger, P., and Chablat, D., 2006, “An Exhaustive Study of the Workspace Topologies of All 3R Orthogonal Manipulators With Geometric Simplifications,” Mech. Mach. Theory, 41 (8), pp. 971–986.

[CrossRef]Wenger, P., and El Omri, K., 1997, “Comments on a Classification of 3R Regional Manipulator Geometries and Singularities,” Mech. Mach. Theory, 32 (4), pp. 529–532.

[CrossRef]Müller, A., 2009, “On the Concept of Mobility Used in Robotics,” 33rd Mechanisms and Robotics Conference, ASME 2007 International Design Engineering Technical Conferences , Aug. 30–Sep. 2, San Diego, CA.

Wohlhart, K., 1996, “Kinematotropic Linkages,” "*Recent Advances in Robot Kinematics*", J.Lenarèiè and V.Parent-Castelli, eds., Kluwer, Dortrecht, pp. 359–368.

Müller, A., 2009, “Generic Mobility of Rigid Body Mechanisms,” Mech. Mach. Theory, 44 (6), pp. 1240–1255.

[CrossRef]Murray, R. M., Li, Z., and Sastry, S. S., 1993, "*A Mathematical Introduction to Robotic Manipulation*", CRC.

Selig, J. M., 1996, "*Geometrical Methods in Robotics*", Springer, New York.

Guillemin, V., and Pollack, A., 1974, "*Differential Topology*", Prentice-Hall, Englewood Cliffs, NJ.

Hirsch, M. W., and Smale, S., 1974, “Differential Equations,” "*Dynamical Systems and Linear Algebra*", Academic, New York.

Keerthi, S. S., Sancheti, N. K., and Dattasharma, A., 1992, “Transversality Theorem: A Useful Tool for Establishing Genericity,” Proceedings of the 31st IEEE Conference on Decision and Control , Tuscon, AZ, pp. 96–101.

Nijmeijer, H., and van der Schaft, A., 1996, "*Nonlinear Dynamical Control Systems*", Springer, New York.