Matrix center-symetry meter

How to check how much symetric around it`s center is this type of matrix? I think there should be a lot easier and faster way than to fit a Gaussian surface?

Answer 1

[Image Analyst]

The "skewness" is one of the image moments https://en.wikipedia.org/wiki/Image_moment image moments and is a measure of how asymmetrical a function is. See my attached demo.

Answer 2

[Star Strider]

The contour function is one option. You can specify one or more specific contours, then use the output to do whatever symmetry calculations you want to on the (x,y) data it returns.

[Alex Kurek]

Its a good idea, but our data is not big enought, and we need to perform this process ~bilion times. Is there any other method, with would threat equally anyt assymetry, no mater what is the azimuth from the center?

I know that this kind of possibility exist:

sum(sum(abs(onlyGaussian-onlyGaussian')))

But it will not detect assymetry in all directions. It is very fast, thought.

[Star Strider]

The contour function is the only option I know of that will give you the (x,y) data that would allow you to calculate the results you likely need. There may be functions in the Image Processing Toolbox, but I doubt they would be faster.

I will delete my Answer in a few hours.