A new approach for the two-player pursuit-evasion game

We study the problem of maintaining an unobstructed view of an agent moving amongst obstacles by a moving camera fixed to a pursuing robot. This is known as a two-player pursuit evasion game. Using a mesh discretization of the environment, we develop an algorithm that determines, given initial positions of both pursuer and evader, if the evader can take any moving strategy to go out of sight of the pursuer, and thus win the game. If it is decided that there is no winning strategy for the evader, we also compute a pursuer´s trajectory that keeps the evader within sight, for every trajectory that the evader can take.