A New Geometric Proof on Shortest Paths of Bounded Curvature
안희갑, 배상원, Otfried Cheong · Open Access System for Information Sharing (Pohang University of Science and Technology) · 2005
We consider a point robot in the plane whose turning radius is constrained to be at least 1 and that is not allowed to make reversals. Given a starting configuration (a location and an orientation) for the robot, we give a new geometric proof on the combinatorial structure of curvature-constrained shortest paths to a final point with free orientation.