A geometric algorithm to compute time-optimal trajectories for a bidirectional steered robot
IEEE Transactions on Robotics
Shortest paths to obstacles for a polygonal dubins car
IEEE Transactions on Robotics
Time-optimal trajectories with bounded curvature in anisotropic media
International Journal of Robotics Research
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This paper shows how to compute the nonholonomic distance between a polygonal car-like robot and polygonal obstacles. The solution extends previous work of Reeds and Shepp by finding the shortest path to a manifold (rather than to a point) in configuration space. Based on optimal control theory, the proposed approach yields an analytic solution to the problem