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Polygon offseting

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Hi, I'd like to have a method in order to offset the edge of a polygon. I have seen the method of straight skeleton, and how to obtain this skeleton but I haven't seen yet how to easily offset a polygon once I have this skeleton (for example, if I want a distance of 3 between the old edge and the new edge of the border). I also wonder if there is an easier solution, knowing that all my polygons are convex and simple. Thanks.

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