L1 and l2 norm

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hasan alhussaini
hasan alhussaini on 14 Mar 2018
Answered: JMW on 12 Nov 2019
i'm trying to find the code not the function to implement L1 and L2 norm.
I'm trying to compute the L1 and L2 norm of pixels in a image to see the difference between them.

Answers (2)

Johnathan Schaff
Johnathan Schaff on 15 Mar 2018
Edited: Johnathan Schaff on 15 Mar 2018
%Matrix Norm for Matrix A
%L1 Norm
l1 = max(sum(abs(A)));
matL1 = norm(A,1);
%L2 Norm
l2 = max(svd(A));
matL2 = norm(A,2);
%Comparison
fprintf('L1 Norm | %g\nMATLAB L1 Norm | %g\n',l1,matL1);
fprintf('L2 Norm | %g\nMATLAB L2 Norm | %g\n',l2,matL2);
%Vector Norm for Vector B
%L1 Norm
l1 = (sum(abs(B)));
matL1 = norm(B,1);
%L2 Norm
l2 = sqrt(sum(abs(B).^2));
matL2 = norm(B,2);
%Comparison
fprintf('\nL1 Norm | %g\nMATLAB L1 Norm | %g\n',l1,matL1);
fprintf('L2 Norm | %g\nMATLAB L2 Norm | %g\n',l2,matL2);

JMW
JMW on 12 Nov 2019
To get column norms:
L1=vecnorm(A,1)
L2=vecnorm(A,2)

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