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One of the options in ComponentMeasurements is to compute a centroid based on the pixel values of some underlying image. We can write:

ComponentMeasurements[{MorphologicalComponents[image], image}, "IntensityCentroid"][[All, 2]];

Is it possible, however, to have something like an intensity squared or cubed centroid?

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    $\begingroup$ Why not just pass Image[ImageData[image]^3] to ComponentMeasurements? $\endgroup$
    – Niki Estner
    Jul 1, 2013 at 6:47
  • $\begingroup$ @nikie, or ImageApply[#^3 &, image] or even ImageAdjust[image, {0,0,3}]. I suggest you post your comment as an answer. $\endgroup$
    – Simon Woods
    Jul 11, 2013 at 10:06

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Turning the comments into an answer. Why not just pass Image[ImageData[image]^3] or ImageApply[#^3 &, image] or even ImageAdjust[image, {0,0,3}] to ComponentMeasurements?

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