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 |
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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 |
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