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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

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  • $\begingroup$ Are you asking how to calculate a Voronoi diagram for non-point objects? $\endgroup$ – Dr. belisarius Oct 8 '14 at 12:16
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    $\begingroup$ Related: (20696) $\endgroup$ – C. E. Oct 8 '14 at 12:17
  • $\begingroup$ They started and finished with images. I found difficult for me to derive numerical areas. $\endgroup$ – Yuriy Oct 8 '14 at 12:21
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There is a one-liner (if you have wide enough screen)

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

enter image description here

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    $\begingroup$ Now, that's terseness :D $\endgroup$ – Dr. belisarius Oct 8 '14 at 12:45
  • $\begingroup$ It's a One Line Mathematica Lesson®. $\endgroup$ – DumpsterDoofus Oct 8 '14 at 15:04

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