Let B be a set of n unit balls in R3 . We show that the combinatorial complexity of the space of lines in R3 that avoid all the balls of B is O(n3+ε ), for any ε > 0. This re...
Pankaj K. Agarwal, Boris Aronov, Vladlen Koltun, M...
— Despite the many significant advances made in robotics research, few works have focused on the tight integration of task planning and motion control. Most integration works in...
A simple and efficient randomized algorithm is presented for solving single-query path planning problems in high-dimensional configuration spaces. The method works by incrementall...
— Single-query sampling-based motion planners are an efficient class of algorithms widely used today to solve challenging motion planning problems. This paper exposes the common...
Motion planning for robots with many degrees of freedom requires the exploration of an exponentially large configuration space. Single-query motion planners restrict exploration ...