How to Reconstruct Image after decomposition using SVD

2014 2 19

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i have decomposed my image using svd... and modified the singular values by adding matrix let Say A. How can I get back this matrix A..

For Example:

m=[1 2 3; 4 5 6; 7 8 9];

[u s v]= svd(m);

A=[0 2 1; 3 5 6; 8 9 4];

sw= s+A;

new= u*sw*v;

Now how can I get back my matrix A from matrix new?

Is there any way please help me out...

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mohammed 2014-2-19

Dear Muhammad i think you can try something like

   m=[1 2 3; 4 5 6; 7 8 9];
[u s v]= svd(m);
A=[0 2 1; 3 5 6; 8 9 4];
sw= s+A;
new= u.*sw.*v;
GetBackA = [new./(u.*v)]-s

Result

GetBackA =
           0    2.0000    1.0000
      3.0000    5.0000    6.0000
      8.0000    9.0000    4.0000

i hope it will help you..

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