Create the centerline from an polygon

I have a polygon and want to draw the centerline (i’m not sure if it is really the centerline, correct me if this is the wrong term…).
I approximated this for an example drawing. I have the black polygon and want as result the red line.
Is there any workflow in inkscape to do this easily?

black is given, the red line should be the result

Answer

I have found out that this is operation is called:

And many algorithms for this have been proposed. None of the current graphics design applications implement this function but it should not be too hard to do so if one needs to.

Attribution
Source : Link , Question Author : reox , Answer Author : joojaa

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