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Tarek K. Alameldin, Norman Badler, Tarek Sobh, Raul Mihali


An efficient computation of 3D workspaces for redundant manipulators is based on a “hybrid” algorithm between direct kinematics and screw theory. Direct kinematics enjoys low computational cost, but needs edge detection algorithms when workspace boundaries are needed. Screw theory has exponential computational cost per workspace point, but does not need edge detection. Screw theory allows computing workspace points in prespecified directions, while direct kinematics does not. Applications of the algorithm are discussed.


Redundant manipulators; robot workspace; inverse kinematics; direct kinematics; robotics; automation

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A. Kumar. Characterization of Manipulator Geometry. PhD thesis, University of Houston, 1980.

B. Roth. Performance Evaluation of manipulators from a Kinematics Viewpoint. NBS Special Publication, 39—61, 1975.

D. Yang and T. Lee. On the Workspace of Mechanical Manipulators. Journal of Mechanisms, Transmissions, and Automation in Design, 105: 62-69, March 1983.

T. Lee and D. Yang. On the of Manipulator Workspace. Journal of Mechanisms, Transmissions, and Automation in Design, 105:70—77, March 1983.

A. Kumar and K. Waldron. The Workspace of a Mechanical Manipulator. ASME Journal of Mechanical Design, 103:665—672, July 1981.

Y. Tsai and A. Soni. Accessible Region and Synthesis of Robot Arms. ASME Journal of Me-chanical Design, 103:803—811, October 1981.

Y. Tsai and A. Soni. An Algorithm For the Workspace of a General n-R Robot. ASME Journal of Mechanical Design, 105:52—57, July 1983.

T. Alameldin, M. Pa]is, M. Rajasekaran, and N. Badler. On the Complexity of Computing Reachable Workspaces for Redundant Manipulators. In Proceedings of SPIE Intelligent Robots and Computer Vision IX: Algorithms and Techniques, 1990.

J. Craig. Introduction to Robotics Mechanics & Control. Addison Wesley, 1986

R. Paul. Robot Manipulators: Mathematics, Programming, and Control. MIT Press, Cambridge, Mass., 1981.

T. Alameldin, N. Badler, and T. Sobh. An Adaptive and Efficient System for Computing the 3-D Reachable Workspace. In Proceedings of The 1990 IEEE International Conference on Systems Engineering, pages 503—506, 1990.

R. Vijaykumar. Robot Manipulators - Workspaces and Geometrical Dexterity. Master’s thesis, Ohio State University, 1985.

R. Vijaykumar, K. Waldron, and M. Tsai. Geometric Optimization of Serial Chain Manipulator Structures for Working Volume and Derterity. International Journal of Robotics Research, 5:91— 104, 1986.

M. Tsai. Workspace Geometric Characterization and Manipulability of Industrial Robots. PhD thesis, Ohio State University, 1986.


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