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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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https://doi.org/10.1007/978-3-663-14163-1ents of ., where the interior of . does not intersect .. We investigate here the problem of finding a continuous motion of . from .. to .., such that during this motion the interior of . does not intersect ., or to establish that no such motion exists. This problem is an instance of the well known ”
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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 d
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Einführung in die Höhere MathematikTrajectory planning concerns the existence and the generation of a feasible collision-free trajectory, and motion control the actual execution of this trajectory..The problem has to be solved in constrained and non-constrained environment. We summarize some results previously obtained in non constra
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Einführung in die Höhere Mathematikgrees of freedom. The mobile robot is subject to a kinematic constraint, the number of its degrees of freedom being less than the dimension of its Configuration Space..The problem posed here is then essentially to control the number of backing-up maneuvers along a path. Addressing first the “local”
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https://doi.org/10.1007/978-3-662-36804-6changing the lengths of these links we are able to control the positions and orientations of the gripper. In general, for a given set of links lengths there is only one position for the gripper. But in some cases more than one solution may be found for the position of the gripper : this is a singula
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,Gesamtrückblick und Vorausblick,eans 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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Mathematisch-physikalische Bibliotheka novel proof of the .(.) bound on the number of edges of the boundary of such a cell, which is essentially of methodological interest. The second is an algorithm for constructing the boundary of any cell, which runs in optimal Θ(. log .) time. A byproduct of our results are the notions of skeleton
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