Correlation Function for a 2-D field

AI Thread Summary
To compute a correlation function for a 2-dimensional field of surface heights, one can use an integral approach involving the product of height values at different points. The suggested formula includes integrating over displacement parameters to analyze spatial correlations. Research indicates that for random surfaces, the autocorrelation function typically follows a Gaussian distribution. While specific resources may be scarce, searching for terms related to "rough surface" and "2-D correlation metrology" can yield useful information. Understanding these principles is essential for accurately modeling the correlation of surface heights.
Miss_Astro
Messages
15
Reaction score
0
I have a 2-dimensional field of values (they are actually heights of a surface) and I want to compute a correlation function or some sort of correlation parameter. I have seen something similar done with galaxies and you end up with something like the probability of finding a galaxy at a certain distance from another galaxy.

So yes, I want to do something similar for heights, does anyone have a cluse where I might start or how to do this?
 
Physics news on Phys.org
That's pretty straightforward: something like

\int d\alpha d\beta [z(x,y)z(x-\alpha,y-\beta)]

I didn't find a concise website, but searching for "rough surface" 2-D correlation metrology scattering (not all at once) pulls of a lot of information.

Generally, for random surfaces, the autocorrelation is Gaussian.
 

Thread 'Why can't Solar panels be hemispherical, or a curved strip type?'

comparing a flat solar panel of area 2π r² and a hemisphere of the same area, the hemispherical solar panel would only occupy the area π r² of while the flat panel would occupy an entire 2π r² of land. wouldn't the hemispherical version have the same area of panel exposed to the sun, occupy less land space and can therefore increase the number of panels one land can have fitted? this would increase the power output proportionally as well. when I searched it up I wasn't satisfied with...
View full post »

Similar threads

I Correlation functions and correlation length
Replies
15
Views
4K
A Vacuum Energy from Correlation Functions
Replies
7
Views
1K
A Computing Correlation functions
Replies
1
Views
2K
I Two-body correlation function computation
Replies
1
Views
3K
A Brownian Motion (Langevin equation) correlation function
Replies
2
Views
1K
I How does one actually compute a correlation function?
Replies
10
Views
2K
Calculating autocorrelation function
Replies
16
Views
9K
A Post-Selection: Pre-existing Correlations or Action At A Distance?
2
Replies
54
Views
6K
I Why is there this extra term for this correlation function?
Replies
1
Views
2K
I Discussion about least squares method
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top