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Singular vector decomposition and low rank approximation application for image compression

Created 7 years agoDiff never expires

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function C=compressimage(k)

function C=compressimage2(k)

A=imread('/home/phung/Pictures/einstein.jpg');

B=A(:,:,1);

B=im2double(B);

% imshow(B);

[U,S,V]=svd(B);

sigma = B' * B;

[m,n]=size(S);

n=min(m,n);

% plot([1:n,diag(S),'.');

% axis([-10,n+1,0,300]);

% hold on

C=diag(S)';

for i=k+1:n

S(i,i)=0;

[U,S,V]=svd(sigma);

end

UR = U(:,1:k);

B=U*S*V';

Breduced = B *UR;

imshow(B);

Breconstructed = Breduced * UR' ;

C=C';

imshow(Breconstructed);

end

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