Isometric visualization of configuration spaces of two degrees of freedom mechanisms

Proceedings - IEEE International Conference on Robotics and Automation

Volumn 4, Issue , 1998, Pages 2928-2934

  Rodnay, Guy ^a   Rimon, Elon ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CARBON DIOXIDE ARC WELDING; KINEMATICS; KINETIC ENERGY; KINETICS; MECHANISMS; SURFACE MEASUREMENT; VISUALIZATION; WAVE FUNCTIONS; COMPUTATIONAL GEOMETRY; CONTROL SYSTEM SYNTHESIS; DEGREES OF FREEDOM (MECHANICS);

CONFIGURATION SPACE; CONTROLLER DESIGNS; DYNAMICAL PROPERTIES; EXTRACTING INFORMATION; GAUSSIAN CURVATURES; GEOMETRICAL REPRESENTATION; KINEMATIC PROPERTIES; TWO DEGREES OF FREEDOM;

DEGREES OF FREEDOM (MECHANICS); COMPUTER VISION;

ISOMETRIC VISUALIZATION;

EID: 0031633583     PISSN: 10504729     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ROBOT.1998.680710     Document Type: Conference Paper

References (13)

1. R. Abraham and J. Marsden. Foundations of Mechanics. Benjamin, Reading, 1978.
2. V. I. Arnold. Mathematical Method of Classical Mechanics. Springer Verlag, New York, 1978.
3. H. Asada. A geometrical representation of manipulator dynamics and its application to arm design. AS ME Journal of Dynamic Systems, Mesurments, and Control, 105, 1983.
4. P. M. do Carmo. Differential Geometry of Curves And Surfaces. Prentice-Hall, Englewood Cliffs, New Jersy, 1976.
5. Chiacchio et al. Reformation of dynamic manipulability ellipsiod for robotic manipulators. Proceedings of the 1991 IEEE International Conference on Robotics and Automation, 1991.
6. Whitney Hassler. Geometric Integration Theory. IZD- VO Inostrannoi Literatury, Moskva, 1960.
7. C.-S. Lin. The local isometric embedding in IR3 of two- dimensional riemannian manifolds with gaussian curvature changing sign cleanly. Communications on Pure and Applied Mathematics, XXXIX, 1986.
8. J. Nash. The embedding problem of Riemannian manifolds. Annals of Mathematics, 63(1), 1956.
9. G. Rodnay and E. Rimon. Isometric Visualization of Configuration Spaces of Two Degrees of Freedom Mechanisms. Technical report, http://robocop.technion.ac.il.
10. R. Segev and A. Ailon. J. of the Franklin Institute, 173, 1986.
11. A. Wintner. The local embedding problem in the differential geometry of surfaces. American Journal of Mathematics, 77, 1955.
12. Y. Yokokohji and T. Yoshikawa. Design guide of master axm considering operator dynamics. ASME J. of Dynamic Systems, Measurement and Control, 115, 1993.
13. T. Yoshikawa. Dynamical manipulability of robot manipulators. Journal of Robotic Systems, 2, 1985.