Having the final Thiessen polygons, is it possible to find the initial set of points?

Published: 13/10/2017
Having the final Thiessen polygons, is it possible to find the initial set of points?
Source: STACKOVERFLOW.COM

I'm trying to find a way to reverse the Voronoi algorithm. Basically, having some connected shapes which mostly consist of triangles and squares, I'm trying to find the set of points which, by using the Voronoi algorithm would recreate the initial shapes.

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