2D distribution/histogram's center of mass

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z8080
z8080 2016-7-5
评论： z8080 2016-7-5
I have a bunch of 2D histograms showing the relative dependency of two variables X and Y, under several conditions. Each histogram is 7x7, is produced with imagesc(), and looks something like this:
I would like to compute a single (scalar) measure of central tendency for each of these distributions. Something like a center of mass, although I havent found anything like this in the Matlab documentation, and I don't know anything about the field of image analysis.
Also, ideally, I could show this graphically as well by perhaps highlighting the cell of each distribution that contains this center of mass, or better still, a region within a certain radius of the center of mass that contains 68.2% (one standard deviation) of the volume of the distribution.
Any help much appreciated.
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José-Luis
José-Luis 2016-7-5
You could fit it to a multivariate normal distribution, see mvregress(), see how well it fits, and the statistics of the distribution could give some insight into the problem.
z8080
z8080 2016-7-5
I'll try that, thank you very much for your help

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