Error/1-sigma on 3-D Gaussian plots

Hi,

I have a 3-D plot as shown. Now for each point, I want to approximate is as a gaussian with a mean (which I assume will be the point itself) and a certain sigma so that I can have an idea of the overlap (due to the sigma) between all the points (16 VBB in this case).

My input is a matrix 16x16x1. Here the y field is from 15-16, but in real case it would be from 1-16 causing 16 such plots (not shown for simplicity).

Thanks!