MATLAB: Element by element subtraction using bsxfun

Question

Hi everyone,

I have an array, for simplicity let it be:

a = [1 2 3; 4 5 6; 7 8 10];

I would like to perform an element by element subtraction, I have using:

   Av = bsxfun(@minus, a(:)', a(:));

However this does not give me the desired result. For the resulting array I want:

Aresult = [0 -1 -2 1 0 -1 2 1 0; -3 -4 -5 -2 -3 -4 -1 -2 -3;-6 -7 -8 -5 -6 -7 -4 -5 -6 ....(continued)]

So to explain the desired result I would like to take an individual element and then subtract the surrounding elements to create a 3×3 sub array in the larger 9×9 array. So in the array above going from left to right

1-0 = 0;
1-2 = -1;
1-3 = -2; (going to the next row down)
1-4 = -3;
1-5 = -4;
1-6 = -5; (going down a row again)
1-7 = -6;
1-8 = -7;
1-9 = -8;

So these results would provide the first 3×3 sub array. This would then be repeated for all elements of the initial array a.

I would be very grateful for any help/ comments you can provide, I hope my explanation wasn't too confusing :).

Thanks, John.

Answer 1

This works for an array whatever its size:

>> A = [1 2 3; 4 5 6; 7 8 9]
A =
     1     2     3
     4     5     6
     7     8     9
>> cell2mat(arrayfun(@(a)a-A,A,'UniformOutput',false))
ans =
     0    -1    -2     1     0    -1     2     1     0
    -3    -4    -5    -2    -3    -4    -1    -2    -3
    -6    -7    -8    -5    -6    -7    -4    -5    -6
     3     2     1     4     3     2     5     4     3
     0    -1    -2     1     0    -1     2     1     0
    -3    -4    -5    -2    -3    -4    -1    -2    -3
     6     5     4     7     6     5     8     7     6
     3     2     1     4     3     2     5     4     3
     0    -1    -2     1     0    -1     2     1     0