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How to calculate mean and variance of object boundary?

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Afsoon
Afsoon on 8 Dec 2016
Dear experts,
I'm trying to calculate mean and variance of object boundary as features in image.
I obtained boundary points from "bwboundaries". So I have a matrix n*2 that columns are x and y (the coordination of points on boundary).
My problem is how I can calculate mean and variance of boundary. I mean mean(A,1) and mean(A,2)is a mean point of boundary. Does this make sense?
Does anyone have a mathematics definition for mean and variance of boundary?

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