I ususally touch up with crock sticks that have 2 angle settings. That gives a small secondary bevel. For more intense sharpening I usually (unless I'm feeling "retro" that day) go to my belt grinder with a slack belt, which gives me a convex edge. The geometry of a convex edge or a secondary bevel provides more support to the blade edge, and makes it less likely to ge pushed out of allignment. It does, in general, stay sharper longer. Of course, many other factors also influence edge holding.
The convex edge as it is, is essentially an infinite number of secondary, tertiary, etc. bevels. I don't see any point in trying to make it into a discrete number of curves with different radii. When pushing down on a slack belt I doubt you are getting a perfect segment of a circle for a profile anyway.
Why would you want to do this?