The tooled surface
On the finished surface of a carving: not the finish as in wax, oil or varnish, but the surface the tools leave.
The finished surface portrays shape and depth by the shadows seen. We need to get a decent finish by getting rid of superfluous little shadows.
So we are aiming for a smooth surface, without using abrasives, which leave scratches.
On outside curves, sharp gouges or spokeshaves will do the job completely, leaving a tool-burnished surface.
The difficulty comes with inside, concave curves, where access for gouges is restricted. One solution is to use scrapers (modified cabinet scrapers) which, when sharp, cut off very thin shavings.
Carvings, by their nature, do not need the "super-smooth" finish obtained by woodturners. Some hand-finished tool marks are desirable, and a good burnished surface straight off the tool makes an excellent finish.