Areas of Voronoi cells from an image file

Question

I have a binary image with non-point objects.

Does anyone have any suggestions how to determine area of each Voronoi cell in Voronoi diagram (the goal is area distribution)?

Sample image

Are you asking how to calculate a Voronoi diagram for non-point objects? — Dr. belisarius, Oct 08 '14 at 12:16
They started and finished with images. I found difficult for me to derive numerical areas. — Yuriy, Oct 08 '14 at 12:21

score 13 · Accepted Answer · answered Oct 08 '14 at 12:35

13

There is a one-liner (if you have wide enough screen)

Histogram@ComponentMeasurements[#, "Area"][[;; , 2]] &@
   WatershedComponents@DistanceTransform@Import@"https://i.stack.imgur.com/k0EUJ.png"

enter image description here

answered Oct 08 '14 at 12:35

ybeltukov

1 Answers1