For maintenance a loaded leather strop works great. Personally, I think the mousepad/sandpaper works better when you are profiling the entire bevel. When just sharpening the edge I usually just use the strop. Using a stone, you will sharpen like you would a V-grind. Most of the folks now recognize that any freehand sharpening essentially produces a convex edge because the slight variations in holding the edge angle. The unaided hand can never be perfectly true.
Like the case of sharpening a V-grind, you want to keep your angle as constant as you can and have the correct angle where essentially just the last mm or less of the edge is in contact with the stone while at the same time not having the angle of the knife held to high too produce an obtuse edge. In the end, the main issue that people have with using a stone to sharpen is finding the correct angle height (spine relative to stone) to sharpen and being consistent at it. With a flat stone you need to have this as accurate and as consistent as you can.
With a softer surface like the mouse pad you purposely use a much more shallow angle between spine and the surface of the sandpaper and then press slightly so that sandpaper depresses around the convex portion of the blade to the edge. For this method, the angle accuracy is less important but the key is finding the right amount of pressure. Too much pressure and the sandpaper will wrap up over the edge of the blade and dull your blade rather than sharpen it.
A leather backing provides the same action as the mousepaper. Because it is stiffer you want to use an intermediate approach. The angle of the spine relative to the mousepad is shallower than you would us for stone and wider (higher?) than what you use for the mousepad. You use a bit more pressure on the leather because the backing does not produce as much flexibility in wrapping the edge around the convex belly. Same principle though, too much pr essure and you dull the edge.
So basically you can use stone, mouspaper/sandpaper or leather/sandpaper for sharpening your convex edge. You will vary your technique somewhat with each approach. Then follow up with a loaded strop for the final polishing.
In most cases, if you regularly tune your blade, the stropping is what you use. The sharpening is what you use with more extended dulling or long trips or for taking care of damage like chips in the edge.
Edit - Uditjm - forgot all about the loose belt sander method....That works well too!