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Distance calculation for imminent collision indication in a robot System simulation*

Published online by Cambridge University Press:  09 March 2009

G. Hurteau
Affiliation:
Département d'informatique et de recherche opérationnelle Université de Montréal C.P. 6128, Succ. A, Montréal, Québec (Canada) H3C 317
N. F. Stewart
Affiliation:
Département d'informatique et de recherche opérationnelle Université de Montréal C.P. 6128, Succ. A, Montréal, Québec (Canada) H3C 317

Summary

Minimum distance algorithms may be used in robotic simulation programs to provide the user with the distances of approach of the manipulator to obstacles in the work environment; this is important for task planning using graphical simulation of configuration maps, and for the implementation of automatic detection of (imminent) collision in robot task development Systems that are based on a graphical simulation facility. In this paper we present algorithms that may be used for the calculation of distances between objects, not necessarily convex, that are made up of unions of convex polyhedra and cylindrically shaped objects (where the cross-section of the cylinder may be ellipsoidal, rather than circular).

Type
Research Article
Copyright
Copyright © Cambridge University Press 1988

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References

1.Kretch, S., “Robotic animation” Mechanical Engineering 32 (08, 1982).Google Scholar
2.Red, W.E., “Minimum distances for robot task simulationRobotica 1, 231 (1985).CrossRefGoogle Scholar
3.Weck, M., Eversheim, W., Zuhlke, D. and Kalde, M., “Requirements for robot off-line programming shown at the example Robex” Advanced Software in Robotics (North Holland, Amsterdam, 1984).Google Scholar
4.Stauffer, R., “Robot System simulationRobotics Today 6, No. 3, 81 (1984).Google Scholar
5.Maruyama, K., “A procedure to determine intersections between polyhedral objectsIntern. J. Computer and Information Sciences 1, 255 (1972).CrossRefGoogle Scholar
6.Muller, D.E. and Preparata, F.P., “Finding the intersection of two convex polyhedraTheoretical Computer Science 7, 217 (1978).CrossRefGoogle Scholar
7.Brown, K.Q., “Fast intersection of half spaces” Technical Report CMU-CS-78–129 (Carnegie Mellon University Department of Computer Science, 1978).Google Scholar
8.Dobkin, D.P. and Edelsbrunner, H., “Space searching for intersecting objects” IEEE Foundations of Computer Science 387 (1984).Google Scholar
9.Hsiao, C. and Bai-yan, S., “Computer Control or coordinate movement with anthropomorphic two-armsComputers in Industry 6, 109 (1985).CrossRefGoogle Scholar
10.Hopcroft, J.E., Schwartz, J.T. and Sharir, M., “Efficient detection of intersections among spheresIntern. J. Robotics Research 2, 77 (1983).CrossRefGoogle Scholar
11.Intergraph, Robotics Today 20 (06, 1985).Google Scholar
12.Requicha, A.A.G. and Voelker, H.B., “Solid modeling: current status and research directions” IEEE Computer Graphics and Applications 25 (10, 1983).CrossRefGoogle Scholar
13.Hurteau, G., “Méthodes de prévention et de détection des collisions dans un simulateur robotique” M. Sc. Thesis (Département d'informatique et de recherche operationnelle, Université de Montréal, 1986).Google Scholar
14.Zoutendijk, G., Mathematical Programming Methods (North Holland, Amsterdam, 1976).Google Scholar
15.Lemke, C.E., On complementary pivot theory (Mathematics of the Decision Sciences, Part 1, American Mathematical Society, Providence, R.I., 1968).CrossRefGoogle Scholar
16.Luenberger, D.G., Introduction to Linear and Non-linear Programming (Addison-Wesley, New York, 1973).Google Scholar