On multiple connectedness of regions visible due to multiple diffuse reflections [article]

Sudebkumar Prasant Pal, Dilip Sarkar
2003 arXiv   pre-print
It is known that the region V(s) of a simple polygon P, directly visible (illuminable) from an internal point s, is simply connected. Aronov et al. addpp981 established that the region V_1(s) of a simple polygon visible from an internal point s due to at most one diffuse reflection on the boundary of the polygon P, is also simply connected. In this paper we establish that the region V_2(s), visible from s due to at most two diffuse reflections may be multiply connected; we demonstrate the
more » ... uction of an n-sided simple polygon with a point s inside it so that and the region of P visible from s after at most two diffuse reflections is multiple connected.
arXiv:cs/0306010v1 fatcat:fe6pnfvnazh27fhf5gx35oevkq