This article presents a technique for determining and visual izing the geometric motion capabilities of dual-arm robotic systems when the arms work on an object in a closed kine matic chain configuration, taking account of robot arms' base placements, object dimensions, object holding and contact constraints, and space occupancy conflicts of the two arms' links. The constrained and object orientation restricted motion space in general can be visualized as a complex 3D object with hidden unreachable holes or cavities of varying shapes. An automated visualization methodology is presented together with its graphical implementation, illustrated by an example. The methodology is an inverse computer vision technique in the sense that it creates rather than recognizes visual forms.
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References
1.
De, P.K., Tarn, T.J., and Bejczy, A.K.1994(May 8-13). Synthesis of trajectory planning using semialgebraic sets and control of manipulators. Proc. Int. Conf. on Robotics andAutomation4:2742-2748.
2.
Gupta, K.C.1986a. Kinematic analysis of manipulators using the zero reference position description. Int. J. Robot. Res.5(2):5-13.
3.
Gupta, K.C.1986b. On the nature of robot workspace. Int. J. Robot. Res.5(2):112-121.
4.
Gupta, K.C., and Roth, B.1982. Design considerations for manipulator workspace. Trans. ASME, J. Mech. Design104(4):704-711.
5.
Hansen, J.A.1983. Generation and evaluation of the workspace of a manipulator. M.S. thesis, University of Illinois, Chicago.
6.
Hansen, J.A., Gupta, K.C., and Kazerounian, S.M.K.1983. Generation and evaluation of the workspace of a manipulator. Int. J. Robot. Res.2(3):22-31.
7.
Hemami, A., Ranjabaran, F., and Cheng, R.M.H.1991. A case study of two-robot-arm workcell material handling . J. Robot. Sys.8(1):21-37.
8.
Lee, T.W., and Yang, D.C.H.1983. On the evaluation of manipulator workspace. Trans. ASME, J. Mechanisms Transmissions Automation Design105(1):70-77.
9.
Li, Z., Tarn, T.J., and Bejczy, A.K.1991. Kinematic and dynamic task space motion planning for robot control. In Leondes, C. T. (ed.): Control and Dynamic Systems. San Diego: Academic Press, Vol. 39, pp. 177-248.
10.
chwartz, J.T., and Sharir, M.1983a. On the piano mover's problem: I. Comm. Pure Appl. Math.36:345-398.
11.
Schwartz, J.T., and Sharir, M.1983b. On the piano mover's problem: II. Adv. Appl. Math.4:298-351.
12.
Sherman, D., and Peleg, S.1990. Stereo by incremental matching of contours. IEEE Trans. PAMI12(11):1102-1106.
13.
Tannenbaum, A., and Yomdin, Y.1987. Robotic manipulators and the geometry of real semialgebraic sets. IEEE J. Robot. Automation RA-3(4):301-307.
14.
Tarn, T.J., Bejczy, A.K., Marth, G.T., Ramadorai, A.K.1992. Kinematic characterization of the PUMA 560 manipulator. SSM-RL-92-15. Department of Systems Science and Mathematics, Washington University, St. Louis.
15.
Tarn, T.J., Bejczy, A.K., and De, P.K.1993. Rendering of 3D transparent kinematic workspace for dual-arm object handling. SSM-RL-93-18. Department of Systems Science and Mathematics , Washington University, St. Louis .
16.
Tsai, Y.C., and Soni, A.H.1983. An algorithm for the workspace of a general n-R robot. ASME J. Mechanisms TransmissionsAutomation in Design105(1):52-57.
17.
Wang, Y.F., and Aggarwal, J.K.1986. Surface reconstruction and representation of 3D scenes . Pattern Recognization19(3):197-207.
18.
Wolfsen, H.J.1990. On curve matching. IEEE Trans. PAMI12(5):483-489.
