I'm interested in finding the orientation of the sum of 2d gaussians.
If one gaussian is placed at the origin, and another displaced along the x axis, the sum of the two is going to have an orientation along the x axis.
How can I show this analytically?
My initial thought was to take the Fourier Transform of the sum of the two gaussians, and analyse the magnitude of the transform to deduce the orientation - by taking the derivative and calculating the maxima, for instance.
I'm wondering whether there is some better method that I'm unaware of for such an analysis.
Any thoughts?
Thanks!