I still think there should be a difference, or I get something wrong. Suppose you take a sinus, displace it up so you have neat straight rows of displacement, then warp this by some (other) color function (in 3D space); depending on where the whites and blacks are in 3D space, the sinus ribs will be displaced sideways, so some will move further out than other, hence overlapping could occur. Or am I wrong?