Performance analysis of a 3-2-1 pose estimation device

IEEE Transactions on Robotics

Volumn 21, Issue 3, 2005, Pages 288-297

  Thomas, Federico ^a   Ottaviano, Erika ^b   Ros, Lluís ^a   Ceccarelli, Marco ^b  

^a ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

^b UNIVERSITY OF CASSINO AND SOUTHERN LAZIO   (Italy)

Author keywords

Bias error; Distance geometry; Kinematics singularities; Parallel manipulators; Pose measuring devices

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); KINEMATICS; MANIPULATORS; MATHEMATICAL MODELS; MATRIX ALGEBRA;

BIAS ERROR; DISTANCE GEOMETRY; KINEMATICS SINGULARITIES; PARALLEL MANIPULATORS; POSE ESTIMATION; POSE MEASURING DEVICES;

MOTION ESTIMATION;

EID: 20844455714     PISSN: 15523098     EISSN: None     Source Type: Journal    
DOI: 10.1109/TRO.2004.840894     Document Type: Article

References (26)

1. Z. Geng and L. S. Haynes, "A 3-2-1 kinematic configuration of a Stewart platform and its application to six degree of freedom pose measurements," Robot. Computer-Integrated Manufact., vol. 11, no. 1, pp. 23-34, 1994.
2. J. W. Jeong, S. H. Kim, and Y. K. Kwak, "Kinematics and workspace analysis of a parallel wire mechanism for measuring a robot pose," Mechanism Mach. Theory, vol. 34, no. 6, pp. 825-841, 1999.
3. M. Griffis and J. Duffy, "A forward displacement analysis of a class of Stewart platforms," J. Robot. Syst., vol. 6, no. 6, pp. 703-720, 1989.
4. P. Nanua, K. J. Waldron, and V. Murthy, "Direct kinematic solution of a Stewart platform," IEEE Trans. Robot. Autom., vol. 6, no. 4, pp. 438-444, Aug. 1990.
5. V. Parenti-Castelli and C. Innocenti, "Direct displacement analysis for some classes of spatial parallel machanisms," in Proc. 8th CISM-IFToMM Symp. Theory Practice Robots Manipulators, 1990, pp. 126-133.
6. P. Nanua and K. J. Waldron, "Direct kinematics solution of a special parallel robot structure," in Proc. 8th CISM-IFToMM Symp. Theory Practice Robots Manipulators, 1990, pp. 134-142.
7. K. H. Hunt and E. J. F. Primrose, "Assembly configurations of some in-parallel-actuated manipulators," Mechanism Mach. Theory, vol. 28, no. 1, pp. 31-42, 1993.
8. D. Eberly, "Finding the intersection of three spheres," 1996, [Online]. Available: comp.graphics.algorithms newsgroup.
9. H. Bruyninckx, "Forward kinematics for Hunt-Primrose parallel manipulators," Mechanism Mach. Theory, vol. 34, pp. 657-664, 1999.
10. D. E. Manolakis, "Efficient solution and performance analysis of 3-D position estimation by trilateration," IEEE Trans. Aerosp. Electron. Syst., vol. 32, no. 4, pp. 1239-1248, Apr. 1996.
11. n," Austral. New Zealand Ind. Appl. Math. J., pt. C, vol. 42, pp. 461-477, 2000.
12. A. L. Mackay, "Generalized structural geometry," Acta. Crystalographica, vol. A-30, pp. 440-447, 1974.
13. F. Thomas, E. Ottaviano, L. Ros, and M. Ceccarelli, "Coordinate-free formulation of a 3-2-1 wire-based tracking device using Cayley-Menger determinants," in Proc. IEEE Int. Conf. Robot. Automat., vol. I, 2003, pp. 255-363.
14. L. M. Blumenthal, Theory and Applications of Distance Geometry. Oxford, U.K.: Oxford Univ. Press, 1953.
15. A. Cayley, "A theorem in the geometry of position," Cambridge Math. J., vol. II, pp. 267-271, 1841.
16. K. Menger, "New foundation for Euclidean geometry," Amer. J. Math., no. 53, pp. 721-745, 1931.
17. O. Ma and J. Angeles, "Architecture singularities of platform manipulators," in Proc. 1991 IEEE Int. Conf. Robot. Automat., 1991, pp. 1542-1557.
18. J. M. McCarthy, Geometric Design of Linkages. New York: Springer-Verlag, 2000.
19. D. M. Downing, A. E. Samuel, and K. H. Hunt, "Identification of the special configurations of the octaedral manipulator using the pure condition," Int. J. Robot. Res., vol. 21, no. 2, pp. 147-160, 2002.
20. W. H. Press et al., Numerical Recipes in C, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1990.
21. R. A. Johnson and D. W. Wichern, Applied Multivariate Statistical Analysis, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1988.
22. E. Ottaviano, M. Ceccarelli, M. Totti, and C. Avila-Carrasco, "CATRASYS (Cassino tracking system): A wire system for experimental evaluation of robot workspace," J. Robot. Mechatron., vol. 14, no. 1, pp. 78-87, 2002.
23. F. Thomas and L. Basañez, "Interactive planning using graphical simulation for robot task programming," in Proc. 10th CISM IFToMM Symp. Theory and Practice of Robots and Manipulators, 1993, pp. 378-385.
24. M. Ceccarelli, E. Ottaviano, and M. Toti, "Experimental determination of robot workspace by means of CATRASYS (Cassino tracking system)," in Proc. 13th CISM-IFToMM Symp. Theory and Practice of Robots and Manipulators, 2000, pp. 85-92.
25. V. Parenti-Castelli and R. Di Gregorio, "A new algorithm based on two extra-sensors for real-time computation of the actual configuration of the generalized Stewart-Gough manipulator," Trans. ASME, J. Mech. Design, vol. 122, pp. 294-298, 2000.
26. F. Thomas and L. Ros, "Revisiting trilateration for robot localization," IEEE Trans. Robot., vol. 1, no. 1, pp. 93-101, Feb. 2005.