Fast intersection detection algorithm for PC-based robot off-line programming

Christian H. Fedrowitz

doi:10.1117/12.193933

9 November 1994 Fast intersection detection algorithm for PC-based robot off-line programming

Christian H. Fedrowitz

Proceedings Volume 2247, Sensors and Control for Automation; (1994) https://doi.org/10.1117/12.193933
Event: Optics for Productivity in Manufacturing, 1994, Frankfurt, Germany

Abstract

This paper presents a method for fast and reliable collision detection in complex production cells. The algorithm is part of the PC-based robot off-line programming system of the University of Siegen (Ropsus). The method is based on a solid model which is managed by a simplified constructive solid geometry model (CSG-model). The collision detection problem is divided in two steps. In the first step the complexity of the problem is reduced in linear time. In the second step the remaining solids are tested for intersection. For this the Simplex algorithm, which is known from linear optimization, is used. It computes a point which is common to two convex polyhedra. The polyhedra intersect, if such a point exists. Regarding the simplified geometrical model of Ropsus the algorithm runs also in linear time. In conjunction with the first step a resultant collision detection algorithm is found which requires linear time in all. Moreover it computes the resultant intersection polyhedron using the dual transformation.

Citation Download Citation

Christian H. Fedrowitz "Fast intersection detection algorithm for PC-based robot off-line programming", Proc. SPIE 2247, Sensors and Control for Automation, (9 November 1994); https://doi.org/10.1117/12.193933

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