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Titlebook: Geometry and Robotics; Workshop, Toulouse, J. -D. Boissonnat,J. -P. Laumond Conference proceedings 1989 Springer-Verlag Berlin Heidelberg

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Hamiltonian cycles in delaunay complexes,R.. We introduce the notion of Delaunay complex, the natural completion of a Delaunay triangulation. We show that Delaunay complexes are necessarily 3-connected. It remains an unsolved problem to prove that Delaunay complexes have Hamiltonian cycles, or to provide a counterexample. On the other hand
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Reinhold Kienzler,Roland SchröderConfiguration Space for a robot moving in a workspace with obstacles. The algorithms presented in this paper have been implemented and can deal with all robots made of revolute or prismatic joints. We present an exemple of collision-free trajectories computed by the system for a manipulator with 4 degrees of freedom.
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Planning collision free trajectories by a configuration space approach,Configuration Space for a robot moving in a workspace with obstacles. The algorithms presented in this paper have been implemented and can deal with all robots made of revolute or prismatic joints. We present an exemple of collision-free trajectories computed by the system for a manipulator with 4 degrees of freedom.
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Some examples of algorithms analysis in computational geometry by means of mathematical morphologiceans of mathematical morphological tools. Then we use these two notions on the one hand to analyze how the Delaunay triangulation enables us to get a good approximation of the skeleton of an object and on the other hand to estimate the performances of bucketing techniques in the average case.
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Aufbau- und Verbindungstechnik,s based on criteria for the existence of solutions of systems of polynomial equations and inequalities generalizing Sturm‘s theorem, is presented. Then the text is devoted to the cylindrical algebraic decomposition algorithm of Collins, which relies on the basic methods of the theory of semialgebrai
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