## Implementing equation doe 3x3 matrix

on 19 Dec 2012

### Matt J (view profile)

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

http://imgur.com/6NO9M

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on 19 Dec 2012
Edited by Matt J

### Matt J (view profile)

on 19 Dec 2012

```qVMF=median(q(:));
```

Walter Roberson

### Walter Roberson (view profile)

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

### Matt J (view profile)

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.

### Walter Roberson (view profile)

on 19 Dec 2012

```[minsum, minidx] = min( sum(abs(bsxfun(@minus, q(:), q(:).'))) );
qVFM = q(minidx);
```

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