@article{Aloupis2010HighwayHR,
title={Highway Hull Revisited},
author={Greg Aloupis and Jean Cardinal and S{\'e}bastien Collette and Ferran Hurtado and Stefan Langerman and Joseph O'Rourke and Bel{\'e}n Palop},
journal={Comput. Geom.},
year={2010},
volume={43},
pages={115-130}
}

A highway H is a line in the plane on which one can travel at a greater speed than in the remaining plane. One can choose to enter and exit H at any point. The highway time distance between a pair of points is the minimum time required to move from one point to the other, with optional use of H. The highway hull H(S,H) of a point set S is the minimal set containing S as well as the shortest paths between all pairs of points in H(S,H), using the highway time distance. We provide a Θ(n logn… CONTINUE READING