On multiple connectedness of regions visible due to multiple diffuse reflections
| dc.creator | Pal, Sudebkumar Prasant | |
| dc.creator | Sarkar, Dilip | |
| dc.date | 2003-06-02 | |
| dc.date.accessioned | 2026-07-07T03:19:45Z | |
| dc.date.available | 2026-07-07T03:19:45Z | |
| dc.description | 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. \cite{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 construction 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. | |
| dc.description | 10 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/cs/0306010 | |
| dc.identifier | http://arxiv.org/abs/cs/0306010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/31590 | |
| dc.subject | Computational Geometry | |
| dc.subject | Discrete Mathematics | |
| dc.subject | Graphics | |
| dc.subject | F2.2, G2.1 | |
| dc.title | On multiple connectedness of regions visible due to multiple diffuse reflections | |
| dc.type | text |