On 29/08/13 17:38, Thomas Leduc wrote:
Let's consider a set of input polygons (represented by dark gray
polygonal footprints in the enclosed screenshot [1]). I wonder whether
there already exists a (set of) GRASS instructions to produce the
"surrounding tessellation". I mean, could you please tell me how to
compute the set of multicolor polygons in the enclosed screenshot?

As an example, the blue polygon is the set of points that are:
   - overlayed by the dark gray polygon labeled #1
   - or closer to the dark gray polygon labeled #1 than to any other
input polygon.

Thanks a lot for any help/advice.

You could try the following workflow:

- add category values to your boundaries (if that is important make them equal to the cat values of your centroids, otherwise just using v.category op=add type=boundary) - use v.to.points to transform the boundaries to points (each point will have the cat value of the corresponding boundary)
- v.voronoi to create voronoir diagrams for these points
- v.dissolve to disolve boundaries between polyons with the same category numbers

Moritz
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