User:Inkwon22/sandbox


 * $$\ G'_{u,v} =

G_{v,u} $$



S \left( \frac{1}{4} \alpha(u) \alpha(v) \sum_{x=0}^7 \sum_{y=0}^7 (g_{u,v} - 128) \cos \left[\frac{(2x+1)u\pi}{16} \right] \cos \left[\frac{(2y+1)v\pi}{16} \right] \right) = S G_{u,v} $$


 * $$\ g'_{u,v} =

S g_{u,v} + 128(1-S) $$


 * $$\ G'_{u,v} =

\frac{1}{4} \alpha(u) \alpha(v) \sum_{x=0}^7 \sum_{y=0}^7 (g'_{x,y} - 128) \cos \left[\frac{(2x+1)u\pi}{16} \right] \cos \left[\frac{(2y+1)v\pi}{16} \right] $$