After the shape is cut out, you can use your saw blade to refine any areas that were missed. Peel the pattern away and check again to see if any parts need more refining. Once the shape looks good you can add further shaping with files.
Firstly, get the shapes just as you want them and then smooth all of the sharp edges. I used the rounded side of a half round needle file for the inside curves and the flat side for the outside curves. I also used a barrette needle file in the tight spaces where the top of the file was in contact with the opposite side.
I then used sandpaper in 400, 600, 1200 grits to smooth the edges and the flat surfaces. This is a delicate process, the metal is soft and the thin arms will break if moved back and forth too many times.