Average value of an annulus in a square matrix
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I have a square matrix of values and I need to evaluate the average value of an annulus between coordinates r and r+dr and repeat this step from the center of the circle to its radius R. Finally, I want to plot the radial profile of the N values, where N is the number of annuli.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/163568/image.png)
How could I do this in MATLAB? Thank you in advance.
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Accepted Answer
Image Analyst
on 6 May 2016
Edited: Image Analyst
on 6 May 2016
So then take your ringPixels, which you get from the snippet in the FAQ, and then use mean to get the average value of your matrix within the ring:
meanValue = mean(yourImage(ringPixels))
By the way, I've attached a related thing. The demo computes the average radial profile (from a point you select) in an image and plots it.
More Answers (1)
Jos (10584)
on 6 May 2016
R = 3 ;
M = magic(2*R+1) ;
dr = 1 ;
[ri,ci] = ndgrid(1:(2*R+1))
D = hypot(ri-R-1,ci-R-1)
for k=dr:dr:R
TF = D > (k-dr) & D <= k
tmp = M(TF)
Result(k) = mean(tmp)
end
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