Wow those stripes messed with my eyes.
So, what you're seeing is filtering artifacts. For Tiled sprites, you can get around them by making a 1 px border around the whole thing in PS and add that border to the sprite in the atlas, that way the mesh that gets created cuts away that 1 px border.
I believe that if it's pixel perfect you shouldn't see those artifacts in any case, but I'm not 100 %.