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)?
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$\begingroup$ Are you asking how to calculate a Voronoi diagram for non-point objects? $\endgroup$– Dr. belisariusCommented Oct 8, 2014 at 12:16
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2$\begingroup$ Related: (20696) $\endgroup$– C. E.Commented Oct 8, 2014 at 12:17
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$\begingroup$ They started and finished with images. I found difficult for me to derive numerical areas. $\endgroup$– YuriyCommented Oct 8, 2014 at 12:21
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1 Answer
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There is a one-liner (if you have wide enough screen)
Histogram@ComponentMeasurements[#, "Area"][[;; , 2]] &@
WatershedComponents@DistanceTransform@Import@"https://i.sstatic.net/k0EUJ.png"
answered Oct 8, 2014 at 12:35
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$\begingroup$ It's a One Line Mathematica Lesson®. $\endgroup$ Commented Oct 8, 2014 at 15:04