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Normalize matrix elements resulting in sum of elements of one.

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Ihiertje
Ihiertje 2017-11-28
编辑： Jan 2017-11-28
Hi,
For part of my matlab code I have to normalize a space-variant matrix K:
K[u][v](x,y)
so that the sum (u and v) of all locations in this matrix after normalization is 1:
∑∑K[u][v](x,y) = 1
However, I'm not sure where to begin with this. Could someone help me with the steps I should take?
Thanks!
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Ihiertje
Ihiertje 2017-11-28
The input is X=rand(x,y), where x and y are values between 1 and 512. And the normalization should be over all elements. Thanks for your time and effort by the way!
Jan
Jan 2017-11-28
编辑：Jan 2017-11-28
Then see my answer, which divides all elements by the sum over all elements. In consequence the sum equals 1 (beside rounding errors).

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回答（2 个）

Jan
Jan 2017-11-28
Perhaps you want:
A = rand(5, 5); % Test data
B = A / sum(A(:))
If you want something else, please explain which sum should be 1.
KSSV
KSSV 2017-11-28
A = magic(5) ;
B = A ;
for i = 1:5
B(:,i) = A(:,i)./norm(A(:,i),1) ;
end
sum(B)
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Ihiertje
Ihiertje 2017-11-28
I adjusted your code to my problem and tried it, but I don't think it is right at the moment as it does not result in a sum of 1.

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