I'm a freak about "sharp" grind lines and "cleanliness" in my work. Because of that I strayed from any kind of convex grinding for a long time.
I always thought that to get a convex grind a guy simply slapped the blade up against a slack belt.
I suppose some do, but it will leave you with a horrible cross section (i.e BAD blade geometry).
I have found that a THINLY ground blade with a very slight convex is something that can be done with an exceptionally "clean" execution, and also offer GREAT blade/edge geometry.
I flat grind against my platen up to a ~320x Norax belt. I take the flat grind to the spine, and the edge down to 0.004"- 0.020" depending on the knife. The 20 thou is the very thick end for me, on a camp knife.
Then I switch over to the Rob Frink rotary platen....aka the best thing since sliced bread.
With a 120x I take the blade down to an edge, or at least VERY close. The go up to a ~320 Trizac Gator belt.
This process can produce a whicked cutting blade, and it will be sharp and crisp so long as you pay attention to what you're doing.
There are a lot of guys that only flat grind, or only hollow grind, that would over generalize, and tell you, "a convex is too thick." I would bet a wooden nickel my blades would be thinner than almost any of theirs.
BUT, I ALSO do only full flat grinds on some knives, and only hollow grinds on some knives.
It's all about finding the optimal steel, heat-treat, blade and edge geometry for what the knife is intended for!!!!
BTW- I don't like sending blades to customers sharpened on a belt sander, because unless they have one at home, they will never be able to reproduce that edge. I do my final sharpeing on a India Fine stone, and then 1 or 2 ceramic stones.
Plus I offer free re-sharpening. That way, when they TRY to get their edge back with a stone and screw it up...it can be fixed
-Nick-