The quartic singularity surfaces of planar platforms in the Clifford algebra of the projective plane

Mechanism and Machine Theory

Volumn 33, Issue 7, 1998, Pages 931-944

  Collins, C L ^a   McCarthy, J M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; CONSTRAINT THEORY; LINEAR ALGEBRA; MATHEMATICAL OPERATORS; SURFACES;

PLANAR PLATFORMS; WORKSPACE;

MANIPULATORS;

EID: 0032182496     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0094-114X(97)00098-0     Document Type: Article

References (20)

1. Merlet, J. P., The International Journal of Robotics Research, 1989, 8(5), 45-56.
2. Collins, C. L. and Long, G. L., IEEE Transactions on Robotics and Automation, 1995, 11(5), 661-669.
3. Notash, L. and Podhorodeski, R. P., In Robotics: Kinematics, Dynamics and Controls, Proceedings of the 23rd ASME Mechanisms Conference72, 1994, DE-Vol., 459-466.
4. Hunt, K. H., Samuel, A. E. and McAree, P. R., International Journal of Robotics Research, 1991, 10(2), 123-134.
5. McAree, P. R., Samuel, A. E., Hunt, K. H. and Gibson, C. G., International Journal of Robotics Research, 1991, 10(5), 439-453.
6. Gosselin, C. M. and Angeles, J., IEEE Transactions on Robotics and Automation, 1990, 6(3), 281-290.
7. Sefrioui, J. and Gosselin, C. M., Robotics and Autonomous Systems, 1993, 10, 209-224.
8. Sefrioui, J. and Gosselin, C. M., Mechanism and Machine Theory, 1995, 30(4), 533-551.
9. Wang, J. and Gosselin, C. M. In Proceedings of ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference, pp. 18-22, 1996. Irvine, CA. Paper no. MECH: 1006.
10. McCarthy, J. M., Introduction to Theoretical Kinematics, Cambridge, MA: MIT Press, 1990, 130 pp.
11. Clifford, W. K., in Tucker R, editor. Mathematical Papers, London: Macmillan, 1882, 658 pp.
12. Hamilton, W. R., Elements of Quaternions, Dublin. Reprinted New York: Chelsea Publ., 1969.
13. Blaschke, W. and Müller, H. R., Ebene Kinematik, München, 1956.
14. Yang, A. T. and Freudenstein, F., ASME Journal of Applied Mechanics, 1964, 300-8.
15. Bottema, O. and Roth, B., Theoretical Kinematics, New York: Dover Publications, 1979.
16. DeSa, S. and Roth, B., ASME Journal of Mechanical Design, 1981, 103(4), 712-7.
17. Ravani, B. and Roth, B., ASME Journal of Mechanics, Transactions and Automation in Design, 1983, 105, 460-467.
18. Ge, Q. J. and McCarthy, J. M., IEEE Transactions on Robotics and Automation, 1991, 7(5), 670-7.
19. Salmon, G., Analytic Geometry of Three Dimensions, vol 1, Revised by RAP Rogers, 7th ed by CH Rowe, Reprinted New York: Chelsea Publ., 1927.
20. Shilov, G. E., An Introduction to the Theory of Linear Spaces, Translated by RA Silverman. Reprinted New York: Dover Publ, 1961.