How about....
BS 1449, Part 4, and the Committee of Stainless Steel Producers, American Iron & Steel Institute
or
ANSI B 46.1
We use 2B, 3 and BA finishes here, but we inspect by visual inspection.
I assume it depends on your application, whether or not there is a spec covering the surface finish. Most of these finishes call outs are for commercial quality stainless, so there may be minimal governing specs.