What would be the equation of the following surface?

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Aravind Varma Dantuluri
Aravind Varma Dantuluri on 12 Mar 2024
Commented: Aravind Varma Dantuluri on 12 Mar 2024
I have the raw data of X, Y, Z, where X and Y are inputs and Z is the output. Plotting the surface gives the following surface (screenshot shown from different angles for clarity):
Any ideas what could be the rough equation of this surface? I don't know any function which has 2 "humps". The 2D equation need not be exact. I can find the coefficients of the equation using least squares curve fitting.

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Accepted Answer

Image Analyst
Image Analyst on 12 Mar 2024
One assumption might be that it's the sum of two Gaussians, like
z = a1 * exp(-( (x-xctr1).^2 + (y-yctr1).^2) / sigma1) + a2 * exp(-( (x-xctr2).^2 + (y-yctr2).^2) / sigma2)
or something like that.

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