The equipment you can buy to sharpen knives is mostly for a bevelled edge and if re-profiling an edge with a view to convexing it it often pays to use this equipment with diamond stones for ease of removal of the steel.

I try to go for the secondary edge at 30 degrees and the primary at 40 degrees as per the Spyderco Sharpmaker which I use after doing this along with a leather paddle strop which I will use to keep the edge.

Once you have this done you can use a belt sander or grit paper and soft surface just to convex the profile from secondary bevel to a true appleseed shape without losing the razor edge gained in the re-profile exercise.

Using a magic marker on the edge after applying it at 40 degrees lets you see how much removal you do at 30 degrees for the secondary bevel. When this profile looks right a quick pass on the belt sander for a couple of strokes convexes the two grinds nicely into a lovely tear drop shape...and you have the advantage of knowing easy touch ups with sharpmaker and paddle will keep the edge for the life of the knife.

When starting out it pays to know the angles you are sharpening at and my experience has shown that if you go for too fine an angle thinking you will get the sharpest edge possible that this does'nt work...it does'nt last and rolls easily...but some guys here just go for an angle based on feel...although they are the most experienced at doing sharpening on convex edges and probably have it "right" anyway. Remember that you always want a steeper more obtuse angle from the flat belly of the blade as it curves to the tip than you have applied to the flat....so as to preserve the strength of the tip...I usually go 50 degrees and 40 degrees on the secondary bevel here...this is the bit most commonly got wrong and you end up with a thin tip.

These angles are based on the Sharpmaker figures...if using Lansky guides remember they give an angle based on an imaginary plumb line going through to the apex of the blade....so 30 degrees is 15 degees and 40 is 25 etc. This can be confusing when you first start out.