Ed,
Blend will make a nice edge around this charater, but the thickness is limited to where it will fold in on itself. SO the original thickness couldnt be acheived using this.
Make a duplicate character and move it up a bit in Z, then planar both and delete the curves. Now select edges of the 2 surfaces and blend. You'll have to drop the value down till it fits nicley.
Pilou's solution will work also, you'll just have to toolpath "both sides" to get the opposing direction "fillets", but it could still make a nice cut. Good catch Pilou!
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