Alright, so I'm trying to clean up some art assets that just haven't transitioned to Sins very well. Unfortunately, I'm more of a programmer instead of a computer graphics person, so I quite simply do not know about this kind of stuff. The most I've ever done is change the color scheme of some textures in Rome:Total War, and I've done nothing with 3D modeling.
Anyways, here's my issue. Some of the ships, when zoomed out in game, tend to get a lot of annoying white pixels that clearly shouldn't be there. This is somewhat present in the Vanilla units, but with a handful of the new ships it is clearly worse. See the little ones near the center.

With 4x antilasting it is somewhat improved, but I think it is just because it is a greyish white instead of pure white.

Does anyone have any idea what is to be blamed here (bad texture/mesh points), and what would I have to do to fix it?