Creative approach, though I am not sure whether the incenter is guarenteed to lie in the figure.
Yes, of course, it all depends on the size of the vectors.
Vertices where the vectors have an angle of 180 degrees are not considered.
@leopoldomonzani By your logic, you could also fillet the figure at the discontinuities, and check whether the discontinuity lies inside or outside of the form.
Inspired by all your good ideas, let me add my own approach, using outer and inner areas
curveEW.gh (11.9 KB)
PS: I think this can similarly be upgraded for 3D situations by using spheres + volumes.
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My idea is this: an outer corner has a larger external angle. So if you draw a circle at each corner point and split it with the original curve, the corner with the larger arc slice is the outer corner.
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love all the different approaches
Thank you. I consider your solution as a compliment for my approach (just above yours 5 days earlier) 
. Regards, Eef