The act of sending a picture message, email, or just mailing a polaroid of a large feces expulsion from your body to an unsuspecting friend or enemy. Usually these stool piles are unique in size, shape , or color. Not just your run of the mill dump.
"Look at the size of this turd! It's wider than a can of shaving cream and longer than a cue stick! Where's my camera phone? I'm BrownEye-ing Tom!"
To 'brown eye' someone is to moon them, through the 'act of baring one's anus to a party as a sign of defiance', with the added insult of a brown poo smear surrounding the anus. The term derives its meaning from the acts' resemblance to the sectors of the eye - the white cornea as the bottom, the poo smear as the colour of the iris and the black hole of the anus as the pupil.
Not to be confused with actual brown coloured eyes, which are usually devoid of fecal matter.
For cases where eyes are not devoid of fecal matter, see pink eye.
"Dude, Julie totally brown eyed me the other day. It was horrible."