Combining 3d matrices

I have in total 4 matrices each of size (m)x(n)x(p) .. Lets say these matrices are called a,b,c and d.

I need to combine them in such a way that I would get a resulting matrix of size 2m x 2n x 2p, with the 2m coming from a and b, 2n from a and c, and 2p from a and d.

I can get the corresponding 2m x n x p and etc. using cat(1,a,b), cat (2,a,c) etc, but am unable to figure out the rest (or if this is even the right direction). Any help is appreciated.

Thanks!

Answer 1

[Matt J]

Your description doesn't define the new matrix well enough. The result will have 8 times as many entries, but you only have 4 matrices to draw data from, so it is not clear where all the additional entries will come from.

However, here is one of many possibilities,

L1=[a,c;b,c];
L2=[d,d;d,d];

result=cat(3,L1,L2);

[Prodip Das]

EDIT: Sorry for the confusion, there are (have to be) 8 matrices in-fact - As correctly pointed out by you. I had to combine them (matrices a-h) in specific order - which I got by doing something as simple as

N(1:2:m*2, 1:2:n*2, 1:2:p*2) = a(:,:,:);
N(2:2:m*2, 1:2:n*2, 1:2:p*2) = b(:,:,:);
N(1:2:m*2, 2:2:n*2, 1:2:p*2) = c(:,:,:);

and so on for the rest... resulting in N being the 2mx2nx2p matrix.

Thanks!

I can remove/edit this query if this seems redundant now.

[Paulo Eduardo Beiral]

Thank you, it helped me too!

[Matt J]

I'm glad, but if so please Accept-click the asnwer.