Create mosaic like Voronoi Diagram from disjoint polygons

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The illustration below shows the problem:



as in (a) I have a set of disjoint polygons, as geometries in PostGIS. I need something like (b), the "mosaic" of this set of polygons, building it by a "influence region" criteria... Is like a Voronoi construction (illustrated by (c)): in fact, if the polygons was points, the influence regions are Voronoi.

Summarizing: I need a SQL algorithm (or some specific for PostGIS) that generates the "mosaic" of a set of disjoint polygons. (perhaps a loop of little ST_Buffer and ST_Difference operations)

PS: I need, like Voronoi's, that space delimitation (a squared frame in (b)) is ignored.

This problem is similar to this other about lines.



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