— The last decade, sampling based planners like the Probabilistic Roadmap Method have proved to be successful in solving complex motion planning problems. We give a reachability ...
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...
Motion planning for robots with many degrees of freedom requires the exploration of an exponentially large configuration space. Single-query motion planners restrict exploration ...
— Target tracking among obstacles is an interesting class of motion planning problems that combine the usual motion constraints with robot sensors’ visibility constraints. In t...
Tirthankar Bandyopadhyay, Yuanping Li, Marcelo H. ...
This paper presents a novel approach for individual agent’s motion simulation in real-time virtual environments. In our model, we focus on addressing two problems: 1) the control...