Kinematic Bézier maps

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 42, Issue 4, 2012, Pages 1215-1230

  Ulbrich, Stefan ^a   Ruiz De Angulo, Vicente ^b   Asfour, Tamim ^a   Torras, Carme ^b   Dillmann, Rüdiger ^a  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

^b CSIC   (Spain)

Author keywords

Humanoid robots; learning; robot kinematics

Indexed keywords

COMPLEX FUNCTIONS; GEOMETRIC CONSTRAINT; HUMANOID ROBOT; LARGE WORKSPACE; LEARNING; LINEAR LEAST SQUARES PROBLEMS; LOW SENSITIVITY; ROBOT KINEMATICS; ROBOT MOVEMENTS; SYSTEMATIC EXPERIMENT; TRAINING SAMPLE;

ANTHROPOMORPHIC ROBOTS; SAMPLING;

KINEMATICS;

EID: 84864118305     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2012.2188507     Document Type: Article

References (29)

1. S. Ulbrich, V. Ruiz, T. Asfour, C. Torras, and R. Dillmann, "Rapid learning of humanoid body schemas with kinematic Bézier maps," in Proc. IEEE-RAS Int. Conf. Humanoid Robots, Paris, France, Dec. 2009, pp. 431-438.
2. J. Schmudderich, V.Willert, J. Eggert, S. Rebhan, C. Goerick, G. Sagerer, and E. Korner, "Estimating object proper motion using optical flow, kinematics, and depth information," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 4, pp. 1139-1151, Aug. 2008.
3. V. de Angulo and C. Torras, "Self-calibration of a space robot," IEEE Trans. Neural Netw., vol. 8, no. 4, pp. 951-963, Jul. 1997. (Pubitemid 127765153)
4. H. Ritter, T. Martinetz, and K. Schulten, Neural Computation and Self-Organizing Maps: An Introduction. Boston, MA: Addison-Wesley, 1992.
5. R. F. Reinhart and J. J. Steil, "Reaching movement generation with a recurrent neural network based on learning inverse kinematics for the humanoid robot iCub," in Proc. IEEE-RAS Conf. Humanoid Robot., 2009, pp. 323-330.
6. M. Rolf, J. J. Steil, and M. Gienger, "Efficient exploration and learning of whole body kinematics," in Proc. IEEE 8th Int. Conf. Develop. Learn., Washington, DC, 2009, pp. 1-7.
7. A. D'Souza, S. Vijayakumar, and S. Schaal, "Learning inverse kinematics," in Proc. IEEE Int. Conf. IROS, Piscataway, NJ, 2001, pp. 298-303. (Pubitemid 34683669)
8. S. Vijayakumar, A. D'Souza, T. Shibata, J. Conradt, and S. Schaal, "Statistical learning for humanoid robots," Auton. Robots, vol. 12, no. 1, pp. 55-69, Jan. 2002. (Pubitemid 34156622)
9. J. Sturm, C. Plagemann, and W. Burgard, "Body schema learning for robotic manipulators from visual self-perception," J. Phys.-Paris, vol. 103, no. 3-5, pp. 220-231, May-Sep. 2009, neurorobotics.
10. D. Whitney, "Resolved motion rate control of manipulators and human prostheses," IEEE Trans. Man-Mach. Syst., vol. 10, no. 2, pp. 47-53, Jun. 1969.
11. A. Ligeois, "Automatic supervisory control of the configuration and behavior of multibody mechanisms," IEEE Trans. Syst., Man, Cybern., vol. 7, no. 12, pp. 868-871, Dec. 1977.
12. L. Li,W. Gruver, Q. Zhang, and Z. Yang, "Kinematic control of redundant robots and the motion optimizability measure," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 31, no. 1, pp. 155-160, Feb. 2001. (Pubitemid 32286799)
13. Y. Xia, G. Feng, and J. Wang, "A primal-dual neural network for online resolving constrained kinematic redundancy in robot motion control," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 35, no. 1, pp. 54-64, Feb. 2005. (Pubitemid 40226198)
14. G. Sun and B. Scassellati, "Reaching through learned forward model," in Proc. IEEE-RAS Int. Conf. Humanoid Robots, Nov. 2004, vol. 1, pp. 93-112. (Pubitemid 40514256)
15. J. A. Walter, "PSOM network: Learning with few examples," in Proc. ICRA, 1998, pp. 2054-2059.
16. S. Klanke and H. J. Ritter, "PSOM+: Parametrized self-organizing maps for noisy and incomplete data," in Proc. 5th WSOM, Paris, France, Sep. 2005, pp. 363-370.
17. L. C. T. Wang and C. C. Chen, "A combined optimization method for solving the inverse kinematics problems of mechanical manipulators," IEEE Trans. Robot. Autom., vol. 7, no. 4, pp. 489-499, Aug. 1991.
18. V. R. de Angulo and C. Torras, "Speeding up the learning of robot kinematics through function decomposition," IEEE Trans. Neural Netw., vol. 16, no. 6, pp. 1504-1512, Nov. 2005. (Pubitemid 41709647)
19. V. R. de Angulo and C. Torras, "Learning inverse kinematics: Reduced sampling through decomposition into virtual robots," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 6, pp. 1571-1577, Dec. 2008.
20. G. Gatti and G. Danieli, "A practical approach to compensate for geometric errors in measuring arms: Application to a six-degree-of-freedom kinematic structure," Meas. Sci. Technol., vol. 19, no. 1, p. 015 107, Jan. 2008.
21. R. He, Y. Zhao, S. Yang, and S. Yang, "Kinematic-parameter identification for serial-robot calibration based on POE formula," IEEE Trans. Robot., vol. 26, no. 3, pp. 411-423, Jun. 2010.
22. M. Hersch, E. Sauser, and A. Billard, "Online learning of the body schema," Int. J. Humanoid Robot., vol. 5, no. 2, pp. 161-181, 2008.
23. T. Asfour, K. Regenstein, P. Azad, J. Schroder, A. Bierbaum, N. Vahrenkamp, and R. Dillmann, "ARMAR-III: An integrated humanoid platform for sensory-motor control," in Proc. IEEE-RAS Int. Conf. Humanoid Robots, Dec. 2006, pp. 169-175.
24. H. Prautzsch, W. Boehm, and M. Paluszny, Bézier and B-Spline Techniques. Secaucus, NJ: Springer-Verlag, 2002.
25. G. E. Farin, Curves and Surfaces for CAGD: A Practical Guide. San Francisco, CA: Morgan Kaufmann, 2002.
26. G. E. Farin, NURBS: From Projective Geometry to Practical Use. Natick, MA: A. K. Peters Ltd., 1999.
27. R. Penrose, A Generalized Inverse for Matrices. Cambridge, U.K.: Cambridge Philosoph. Soc., 1955, ser. 51, pp. 406-413.
28. B. Widrow and M. E. Hoff, "Adaptive switching circuits," in Proc. IRE WESCON Convention Rec., 1960, pp. 96-104.
29. J. M. Hollerbach, W. Khalil, and M. Gautier, "Model identification," in Springer Handbook of Robotics, B. Siciliano and O. Khatib, Eds. New York: Springer-Verlag, 2008, pp. 321-344.