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TECHNICAL PAPERS

Visibility Analysis and Synthesis for Assembly Fixture Certification Using Theodolite Systems

[+] Author and Article Information
Hung-Kuei Chen, S. Jack Hu

Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109

T. C. Woo

Department of Industrial Engineering, The University of Washington, Seattle, WA 98195

J. Manuf. Sci. Eng 123(1), 83-89 (Aug 01, 1999) (7 pages) doi:10.1115/1.1286055 History: Received September 01, 1996; Revised August 01, 1999
Copyright © 2001 by ASME
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References

Menassa,  R. J., and DeVries,  W. R., 1991, “Optimization Methods Applied to Selecting Support Positions in Fixture Design,” J. Eng. Ind., 113, pp. 412–418.
Cai,  W., Hu,  S. J., and Yuan,  J. X., 1996, “Deformable Sheet Metal Fixturing: Principles, Algorithms, and Simulations,” ASME J. Manuf. Sci. Eng., 118, pp. 318–324.
Weill, R., Darel, I., and Laloum, M., 1991, “The Influence of Fixture Positioning Errors on the Geometric Accuracy of Mechanical Parts,” Proceedings of CIRP Conference on PE&ME, pp. 215–225.
Chen, L. L., 1991, “Visibility Algorithm for Mold and Die Design,” Ph.D. Dissertation, Industrial & Operations Engineering Department, University of Michigan.
Chen,  L. L., and Woo,  T. C., 1992, “Computational Geometry on the Sphere With Application to Automated Machining,” ASME J. Mech. Des., 114, No. 2, pp. 188–195.
Gan, J. G., Woo, T. C., and Tang, K., 1991, “Spherical Maps: Their Construction, Properties and Approximation,” Technical Report, Industrial & Operations Engineering Department, University of Michigan.
Spyridi, A. J., and Requicha, A. A. G., 1990, “Assessibility Analysis for the Automatic Inspection of Parts,” Proc. IEEE International Conference on Robotics and Automation, pp. 1284–1289.

Figures

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Example of a subassembly tool
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A two-head theodolite system
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Measurability of surfaces with theodolites
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Plane, surface normal and visibility map
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Interference of visibility
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Example of intersection zones of three blocks’ surfaces
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Model of a two-head theodolite system
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Triangulation geometry  
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Error with respect to α1+δ and α2
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Simulation of distance effects and apex angle effects
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Error with respect to α1+δ and α2
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A simple example of visibility analysis algorithm
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Optimal locations for two theodolites

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