How to reverse the normalization function normc/normr?

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I have used the function of "normr/normr" to normalize a matrix, but how can I reverse the normalization? Thank you very much!
  2 Comments
Image Analyst
Image Analyst on 16 Sep 2015
What happened to the original matrix? Why did you lose it?
I don't have the normr() function. Please list which toolbox it's in in the Products section below.
kokin
kokin on 16 Sep 2015
I didn't discarding the original data. I just want to know the way that how to reverse the normalized data using normc/normr.

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Accepted Answer

Matt J
Matt J on 16 Sep 2015
Edited: Matt J on 16 Sep 2015
If you haven't discarded the original data, there is nothing to restore. The "restored" matrix is the original one that you already have. If you plan to throw that data away, the best thing would be to save the row-wise (or column-wise) norms and use them when needed to undo normalization, e.g.,
A =
1 5 9 13
2 6 10 14
3 7 11 15
4 8 12 16
>> nr=sqrt(sum(A.^2,2)); %row-wise norms
>> B=bsxfun(@rdivide,A,nr) %same as B=normr(A)
B =
0.0602 0.3010 0.5417 0.7825
0.1091 0.3273 0.5455 0.7638
0.1493 0.3483 0.5473 0.7463
0.1826 0.3651 0.5477 0.7303
>> Arev=bsxfun(@times,B,nr) %reverse
Arev =
1.0000 5.0000 9.0000 13.0000
2.0000 6.0000 10.0000 14.0000
3.0000 7.0000 11.0000 15.0000
4.0000 8.0000 12.0000 16.0000

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