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Finding value of a matrix

Asked by FIR
on 19 Dec 2012

I have a 3x3 matrix, for example:


Now i want to implement the equation


where q5 is the centre pixel

q4,46 are neighbouring pixels

for example

d= q1  q2 q3
   q4  q5 q6
   q7  q8 q9

please assist

  1 Comment

q4 and q5 and so on are values of those pixels?


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3 Answers

Answer by Walter Roberson
on 19 Dec 2012
 Accepted answer

Hard to tell. You might be asking for

oldMatrix = double(ImageMatrix);
NewMatrix = ( oldMatrix(:,1:end-1) + oldMatrix(:,2:end) ) ./ 2;

But perhaps your "d" matrix is trying to talk about weighting the pixel values ? If so then let w1 be the weight for what you showed as d(q4,q5), and let w2 be the weight for what you showe as d(q5,q6), and then

NewMatrix = ( w1 .* oldMatrix(:,1:end-1) + w2 .* oldMatrix(:,2:end) ) ./ 2;


I am not sure which version you used; I just noticed a typo in the absolute difference version. Corrected is

oldMatrix = double(ImageMatrix);
NewMatrix = ( abs(oldMatrix(:,2:end-1,:) - oldMatrix(:,1:end-2,:)) + abs(oldMatrix(:,1:end-2,:) - oldMatrix(:,3:end,:)) ) ./ 2;
on 19 Dec 2012

Thanks walter

another thing i tought of doing it in a loop because ihave to replace some values so i tried for 7x7 from link

in the code for 7x7 matrix

      for i=2:6
        for j=2:6
          K= A(i-1:i+1,j-1:j+1);

i get error

Subscripted assignment dimension mismatch.


Answer by Muruganandham Subramanian on 19 Dec 2012
Edited by Muruganandham Subramanian on 19 Dec 2012


but, If you're using rand(), d(2,2),etc.. can't be accessible, if not using ceil() or floor()..Is this you want?


on 19 Dec 2012

Thanks a lot,assume i have a coloured image,peppers.png,i want to perform 3x3 window for image with above equation ,can u please tell how to perform

The confusion is between pixel locations and pixel values. You wrote the question with d(q4,q5) which based on the way you wrote the question is trying to access the matrix d() at row index which is the value of the pixel you labeled q4, and column index which is the value of the pixel you labeled q5.

@FIR, I din't worked on images, anyway, by using imread() read your image and do the calculation

Answer by Image Analyst
on 19 Dec 2012

By chance do you mean just convolution with a [1 2 1]/4 kernel, where you take the average of the left pair of pixels and the right pair of pixels? If so, you'd need to extract each color plane first and then use conv2() to get the output image one color plane at a time.


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