Given a number of points (x,y) in a plane, I'd like to plot a map of polygons, so that
1) each polygon contains exactly one point
2) the polygon defines the area for which this specific point is closer than any other point.
It's a bit like a map of areas "influenced" by that point, and it's obviously a matter of intersecting the perpendicular bisectors between adjacent points.
I believe this type of map has a name, but I can't remember how it's called.
Is there a function somewhere in a R package that may do this?
Thanks for your help
Pascal
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