To get the center of mass of a grey scale picture I would like to use ComponentMeasurements with IntensityCentroid. However the points evaluated by the following script do not match with the expectations.

This is the "bubbles.png" test-Image i used:


i = Import["bubbles.png"];
m1 = ComponentMeasurements[i, "IntensityCentroid"] /. Rule[_, x_] -> x;
points = Graphics[{PointSize[0.01], Red, Point[m1]}];
Print[Show[i, points, ImageSize -> 350]]

The output looks like this:


Here I would have expected to get the center of the bubbles.

If I use "Centroid" instead of "IntensityCentroid" the output matches my expectation, but again I actually would like to have a brightness weighted result.

Thank you very much in advance!

Edit p.s. : Using the coordinate transformation (or however one might call it) from HERE did not work for me. I even got negative coordinates!?


closed as off-topic by MarcoB, user9660, Öskå, dr.blochwave, Edmund May 31 '16 at 9:06

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  • $\begingroup$ I cannot reproduce the behavior you showed. Running your code with IntensityCentroid exactly as you wrote it resulted in this output, which is probably what you wanted, but not what you got. $\endgroup$ – MarcoB May 25 '16 at 17:45
  • $\begingroup$ Thanks for replying! I was using Mathematica 8 before and had the opportunity to try it in Mathematica 10 now. However, in the new MM version it does work indeed! $\endgroup$ – P.B. May 25 '16 at 18:45
  • $\begingroup$ Why do you write Print[Show[i, points, ImageSize -> 350]]? Try dropping the Print; do you not get the same result? $\endgroup$ – m_goldberg May 26 '16 at 13:48

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