Thought I’d chime in here again, as I think I just reached a point where my sharpening of serrated blades is effective. Using the dowel and sandpaper method, I clamp the knife in a vise and put some books or something under it for support.
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Then I fit the dowel flat onto the serration, finding the center of the serration and making sure I’m really hitting that perfect ground in angle, whatever it is. Then I do a long edge trailing stroke under high pressure, holding the dowel and paper with both hands. Repeat a few times per serration, as above. This is the only way I’ve been able to actually restore the points. I used to scrub back and forth, but the sandpaper would always get pierced on the edge leading stroke, and I’d always end up with rounded points. Long strokes, high pressure ensures that you are not wobbling as you go.
Anyway, this is just my opinion. I’ve learned a lot from everyone above too.