How can I subtracting the members of a 3D Matrix ?

Hello every one. I have a 3D matrix of size

every member of this matrix is a random number between 1 to 5 like

from

I want to subtract each members of matrix A from the 9 overlaying members of it.

but my question is how can i do this procedure for the members that have 4, 5 or 6 overlaying members.

for example member of index (i,j,k)=(1,1,2) that has only 4 overlaying members in z=1 and this code is not useful in this situation because this code working in cases that there are only 9 overlaying members.

In fact for

(i,j,k)=(:,1,2)

and

(i,j,k)=(:,end,2)

and

(i,j,k)=(1,:,2)

and

(i,j,k)=(end,:,2)

in all pages from z=2 to z=10 this code is not useful and I am very confused because these members have 4 or 6 overlaying members . with best regards.

Answer 1

[Image Analyst]

Use convn() with the proper kernel. But I'm not really sure what you mean by overlaying members and what's going on with the z=1 plane.

[mr mo]

Hi. assume that we have a block of size 10*10*10 which have 1000 block in it. I simulate this block with a 3D matrix of size 10*10*10 like this example that I mentioned above. I want to subtracting the members of the 3D Matrix from 9 overlaying member which is above it. my question is how can I do this procedure for the corner blocks (member of 3D matrix) and for corner rows or columns because members in these rows or columns have 4 or 6 overlaying members (Blocks) and this code is not useful in these situations. with Best Regards.

[Image Analyst]

OK, so you have a 10*10*10 3D matrix with 1000 elements in it.

You say " I want to subtracting the members of the 3D Matrix from" <== OK that means you want to subtract 1000 elements from something.

Then you say "from 9 overlaying member which is above it" OK, this means that you want to subtract 1000 elements from 9 elements. You can only subtract the same number of elements or a single elements. So you can subtract 1000 numbers from the corresponding 1000 numbers or you can subtract 9 numbers from 9 numbers, OR you can subtract 1 number from all 1000 elements, or subtract 1 number from 9 elements. I'm not sure what you want to do. But I know you can't subtract 1000 elements from 9 elements, like "out = vector9x1 - vector1000x1" <== that's not allowed.

[mr mo]

Hi again. if you can get me your Email address then I can email you some pictures that clearly explain what I'm gonna do. With Best Regards.

[Guillaume]

Best, is to attach these image in the post rather than emailing them to one single person. That way you can get other people input as well.