There's a lot of really good science behind "advanced" sharpening (deburring - "sharpening" is easy). The biggest takeaway for me is that the best method to get rid of the burr varies with the steel of the blade. I strop with a flat leather strop, folded newspaper, or the abrasive-impregnated leather of my Tormek grinder. Interestinging enough, a few knives (notably a Kershaw that I like) lose sharpness when stropped such. A quick pass through the edge of a hardwood block however improves sharpness. I'm measuring sharpness with a BESS sharpness tester and a razor's edge tester (the BESS tells you how sharp, the razor's edge tells you if it's consistent across the blade, since the BESS is testing a dental-floss wide patch).
I dislike most power sharpening as I think it wears the blade excessively. Wet grinding might be an exception, but I still prefer Japanese waterstones, Norton wet stones, or Shapton stones. Once you understand it though, you can sharpen on anything.
GsT
Edit: egregious spelling error.