Diffuse Reflection Diameter in Simple Polygons

Autor: Barequet, Gill, Cannon, Sarah M., Fox-Epstein, Eli, Hescott, Benjamin, Souvaine, Diane L., Tóth, Csaba D., Winslow, Andrew
Rok vydání: 2013
Předmět:
Druh dokumentu: Working Paper
Popis: We prove a conjecture of Aanjaneya, Bishnu, and Pal that the minimum number of diffuse reflections sufficient to illuminate the interior of any simple polygon with $n$ walls from any interior point light source is $\lfloor n/2 \rfloor - 1$. Light reflecting diffusely leaves a surface in all directions, rather than at an identical angle as with specular reflections.
Comment: To appear in Discrete Applied Mathematics
Databáze: arXiv