Grinding=A method of refinishing a crankshaft's bearing journals and crankpins, valves &seats. Grinding removes significant amounts of damaged metal and produces journals and crankpins suitable for use with undersize bearings, or bearings with a smaller asssembled inside diameter than the standard one.
Honing=A method of removing metal from a cylinder bore. Honing is less aggressive (removes metal more gradually) than boring. The final step in finishing a cylinder is finish honing, which removes very little metal, and is used primarily to create the proper surface.
Also Cylinder hone
1.A tool that uses an abrasive to smooth out (hone) and bring to exact measurements such things as engine cylinders, Wheel cylinders, Bushings, etc.
2.A rotating instrument fitted with abrasive material used to remove roughness and deposits, and to polish the bores of wheel cylinders and master cylinders.
see also here for the difference between honing and grinding
http://en.wikipedia.org/wiki/Honing_(metalworking) and here:
http://www.museumstuff.com/learn/topics/hone::sub::Honing_St... In Greece when they say "rectifier" they normally mean honing so they can fit oversized piston rings etc.