I’m using displacement maps to create the “X” you see on the cylinder.
I’m trying to get rid of the jaggies you see in the render below. I already have a ton of geometry as well as my Subsurf at level 5. Doesn’t seem to help.
As I can’t see you base object’s geometry I suggest that in the first place you subdivide the base geometry a bit more. Then apply the displacement and afterwards apply a subsurf (level 2 or 3 should be sufficient).
Please find attached a .blend file where I reused your texture. I used the displacement modifier to apply the displacement.
It look me a little while to figure out what is going wrong but think I might have found the problem. It seems that you have not properly uv-mapped your cylinder.
If you just use the “unwrap” option without either settings seems before or using e. g. “cylinder from view” projection I manage to get the same result as you have. I attached a .blend file to illustrate that.
So I think the solution to your problem is a reasonably uv-mapped cylinder (my cylinder is uv-mapped; just go into edit mode and open an image editor window to see the mapping; however be aware that my mapping is quick and dirty and anything but proper… :o ).