Not to be a nit picker, but "surface roughness" is the common way to refer to this property ... although it turns out a google search for "surface smoothness tester" comes up with no end or roughness testersThe +/- 0.001" is for roundness. The surface smoothness of a pool ball is closer to +/- 0.001mm.

Dave <-- made his spherometer in advance of grinding a few lenses & mirrors, which will be a retirement adventure into both curvature and smoothness/polish