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Improving Relaxation-based Constrained Path Planning via Quadratic Programming

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Academic year: 2021

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Fig. 1. From an initial configuration (orange) lying on the constraint – the black con- con-tinuous line – the optimization would move the system to an invalid configuration (in blue)
Fig. 2. Motions generated in C R by QPMove (red), linear interpolation (green) and a projection approach (black)
Fig. 3. Different tests with QPlan: a 3D point moving respectively (a) on a sphere and (b) on a torus, (c) a five-links chain whose tip is constrained to a sphere, (d) a Barrett arm solving a maze, (e) a UR10 and a Kuka LWR4 moving a plate, (f) PR2 moving
Table 3. Planning time of the tests involving different manipulators.

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