Abstract. A mobile robot, represented by a point moving along a polygonal line in the plane, has to explore an unknown polygon and return to the starting point. The robot has a sen...
— We introduce a method for constructing provably safe smooth feedback laws for car-like robots in obstaclecluttered polygonal environments. The robot is taken to be a point with...
Bose et al. [2] asked whether for every simple arrangement A of n lines in the plane there exists a simple n-gon P that induces A by extending every edge of P into a line. We prov...
Eyal Ackerman, Rom Pinchasi, Ludmila Scharf, Marc ...
Abstract. For a fixed integer k 0, a k-transmitter is an omnidirectional wireless transmitter with an infinite broadcast range that is able to penetrate up to k "walls",...
Let P be a set of polygonal pseudodiscs in the plane with n edges in total translating with xed velocities in xed directions. We prove that the maximumnumber of combinatorial chan...