convert data from two 3D arrays into three 2D arrays

I have two 3D arrays A and B with dimensions n1 x n2 x n3. Indices i = 1:n1, j = 1:n2, k:1:n3 represent values of some variables var1, var2, var3 (for example var1(i) = var1Min + (i-1)*delta_var1).

I would like to convert two given 3d arrays A and B into three 2d arrays var1Array, var2Array, var3Array, with values of the variables var1, var2, var3 and indices representing values in arrays A and B (for example var1Array(i,j), i represents data from A, j represents data from B, i represents Adata = minA + (i-1)*delta_A, j represents data from B, Bdata = minB + (j-1)*delta_B)

Are there any functions to do it automatically in MATLAB? If not, please, give me some hints how to do it.

Answer 1

[Sulaymon Eshkabilov]

It is quite simple:

var1Array = A(:,:,1); var2Array = A(:,:,2); var3Array=A(:,:,3);
% OR combining A and B into one array
var1Array = [A(:,:,1);B(:,:,1)] var2Array = [A(:,:,2); B(:,:,2)];var3Array=[A(:,:,3);B(:,:,3)]
...

[Pawel Labedzki]

I would like to do something more sophisticated. I explain it in following example:

A = zeros(2,2,2);
A(:,:,1) = [1.2 1.3; 1.4 1.7];
A(:,:,2) = [1.8 1; 2.1 2.3];
B = zeros(2,2,2);
B(:,:,1) = [1 2; 4 3];
B(:,:,2) = [5 7; 10 21];
sort(reshape(A,[1,8])) %values of A
sort(reshape(B,[1,8])) %values of B

A and B values:

ans =
    1.0000    1.2000    1.3000    1.4000    1.7000    1.8000    2.1000    2.3000
ans =
     1     2     3     4     5     7    10    21

Now let:

var1 = [3 2];
var2 = [-1 3];
var3 = [5,6];
%then: var1Matrix, var2Matrix, var3Matrix - 8x8 matrices containing values from above arrays
%indices of these matrices represent values 1, 1.2, 1.3, 1.7, 1.8, 2.1, 2.3
%for A and 1, 2, 3, 4, 5, 7, 10, 21 for B

I don't know how to explain it better, sorry :)

Answer 2

[madhan ravi]

https://www.mathworks.com/matlabcentral/answers/304528-tutorial-why-variables-should-not-be-named-dynamically-eval

A = rand(2,2,2)

A = 
A(:,:,1) =

    0.6237    0.5925
    0.7010    0.7094


A(:,:,2) =

    0.9245    0.4186
    0.5723    0.0444

B = rand(2,2,2)

B = 
B(:,:,1) =

    0.3876    0.4998
    0.9857    0.8470


B(:,:,2) =

    0.0038    0.3857
    0.0710    0.3389

Data = [A; B] % naming variables is a bad idea , keep them concatenated as one 3D matrix, is much simpler than naming each page 

Data = 
Data(:,:,1) =

    0.6237    0.5925
    0.7010    0.7094
    0.3876    0.4998
    0.9857    0.8470


Data(:,:,2) =

    0.9245    0.4186
    0.5723    0.0444
    0.0038    0.3857
    0.0710    0.3389