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Implementing equation doe 3x3 matrix

Asked by FIR on 19 Dec 2012

I have a image below ,please tell how to implement the equation for a 3x3 matrix

http://imgur.com/6NO9M

please assist

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FIR

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2 Answers

Answer by Matt J on 19 Dec 2012
Edited by Matt J on 19 Dec 2012
Accepted answer
qVMF=median(q(:));

2 Comments

Walter Roberson on 19 Dec 2012

Will the median necessarily be the one that minimizes the sums ? Wouldn't the pixel that is closest to the mean be the one that minimizes the sums ?

Matt J on 19 Dec 2012

Yes, the median is the known solution to this problem, which you can also verify by comparing it with the output of the code in your Answer.

The mean minimizes the sum of squared differences.

It would get slightly complicated if there were an even number of pixels, because then the median wouldn't be attained at any of the q(i). Here, however, there are an odd number of pixels.

Matt J
Answer by Walter Roberson on 19 Dec 2012
[minsum, minidx] = min( sum(abs(bsxfun(@minus, q(:), q(:).'))) );
qVFM = q(minidx);

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Walter Roberson

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