How to reconstruct a cell with different sizes from a matrix

Hi all,

I have a cell array of complex double and I want to convert them to matrix for the next process. Then, I want to reconstruct back the matrix to cell array. I do like the following codes, where I try with a simple input cells. I know this is not a good method to do, because when I try to change the input into a bigger size, it hard to manually code the position of the cells. Is there any efficient way to do this? Thank you in advance

clc
clear all

% Input cells
F = {{[0.04,0.2,0.56;0.31,0.67,0.22]},{...
    [6+6j,7+3j,8-6j;6+8j,7-6j,3-3j],...
    [5+6j,8+5j;6+8j,7-6j;5+6j,3-9j],...
    [6+6j,7+3j,8-6j;6+8j,7-6j,3-3j],...
    [5+6j,8+5j;6+8j,7-6j;5+6j,3-9j]},{...
    [16+6j,7+3j,8-6j;6+8j,7-6j,3-3j],...
    [16+6j,7+3j,8-6j;6+8j,7-6j,3-3j]},{...
    [0+0j,0+0j;0+0j,0+0j;0+0j,0+0j]}}

% Extract the cells
G={}
dim = 2
for k=1:length(F)
  G = [G,F{k}]
end

% Convert the cell to matrix
B = catpad(dim,G{:})

% Delete NaN in the matrix
V = B(~isnan(B))

% Another process apply to the matrix
%%%%%%%%%%%%%%%

% Inverse Reconstruction:
% Convert the matrix to cell
H =num2cell(V)

% Reshape the cell
M1 = {}
M = H'
for s=1:6
    M1 = [M1,M{s}]
end
M1s = [M1(1) M1(3) M1(5); M1(2) M1(4) M1(6)]
M1s = cell2mat(M1s)

M2 = {}
for s=7:18
    M2 = [M2,M{s}]
end
    M2s{1,1}{1,1} = [M2{1,1} M2{1,3} M2{1,5};M2{1,2} M2{1,4} M2{1,6}]
    M2s{1,1}{1,2} = [M2{1,7} M2{1,10}; M2{1,8} M{1,11}; M{1,9} M2{1,12}]

M3 = {}
for s=19:24
    M3 = [M3,M{s}]
end
M3s = [M3(1) M3(3) M3(5); M3(2) M3(4) M3(6)]
M3ss = cell2mat(M3s)

M4 = {}
for s=25:30
    M4 = [M4,M{s}]
end
M4s = [M4(1) M4(3); M4(5) M4(2); M4(4) M4(6)]
M4ss = cell2mat(M4s)

% Combine all cells to become only one cell aray
% Create 1x4 cells
C = {M1s {M2s{1,1}{1,1} M2s{1,1}{1,2}} M3ss M4ss}

[Dyuman Joshi]

We can not run your code here, since it contains an FEX function (catpad).

Can you tell what is the expected output for the input F (as defined above)?

[NHJ]

Hi Dyuman Joshi,

The expected output is exactly the same as the input F (different values). I mean the output will be the cell array with the same size as the input. Actually, I want to apply an algorithm to the input F in matrix form. After that I want to get the output in cell array form. Thank you for your response

[Dyuman Joshi]

I meant the output for the numerical array or the matrix form, as you mentioned it.

[NHJ]

The final output should be an image (after apply another process). Is it what you mean by 'output'? Thanks for your response

[Dyuman Joshi]

No. I'll be more direct - What are the values/output of V and C are, with respect to the code you posted?

[NHJ]

V contains the value of input F in matrix form and C contains the value of input F in cell array form. Did I answering your question? Thank you for your response

[Dyuman Joshi]

No, I am saying show them. In an image or as a part of code.

[NHJ]

This is the input F:

This is the output B:

This is the output V:

This is the output C:

[Dyuman Joshi]

I downloaded the file catpad and ran the code.

The ouput C doesn't match. See below -

clc
clear all

% Input cells
F = {{[0.04,0.2,0.56;0.31,0.67,0.22]},{...
    [6+6j,7+3j,8-6j;6+8j,7-6j,3-3j],...
    [5+6j,8+5j;6+8j,7-6j;5+6j,3-9j],...
    [6+6j,7+3j,8-6j;6+8j,7-6j,3-3j],...
    [5+6j,8+5j;6+8j,7-6j;5+6j,3-9j]},{...
    [16+6j,7+3j,8-6j;6+8j,7-6j,3-3j],...
    [16+6j,7+3j,8-6j;6+8j,7-6j,3-3j]},{...
    [0+0j,0+0j;0+0j,0+0j;0+0j,0+0j]}}

F = 1×4 cell array
    {1×1 cell}    {1×4 cell}    {1×2 cell}    {1×1 cell}

% Extract the cells
G={};
dim = 2;
for k=1:length(F)
    G = [G,F{k}];
end

% Convert the cell to matrix
B = catpad(dim,G{:})

B = 
   0.0400 + 0.0000i   0.2000 + 0.0000i   0.5600 + 0.0000i   6.0000 + 6.0000i   7.0000 + 3.0000i   8.0000 - 6.0000i   5.0000 + 6.0000i   8.0000 + 5.0000i   6.0000 + 6.0000i   7.0000 + 3.0000i   8.0000 - 6.0000i   5.0000 + 6.0000i   8.0000 + 5.0000i  16.0000 + 6.0000i   7.0000 + 3.0000i   8.0000 - 6.0000i  16.0000 + 6.0000i   7.0000 + 3.0000i   8.0000 - 6.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
   0.3100 + 0.0000i   0.6700 + 0.0000i   0.2200 + 0.0000i   6.0000 + 8.0000i   7.0000 - 6.0000i   3.0000 - 3.0000i   6.0000 + 8.0000i   7.0000 - 6.0000i   6.0000 + 8.0000i   7.0000 - 6.0000i   3.0000 - 3.0000i   6.0000 + 8.0000i   7.0000 - 6.0000i   6.0000 + 8.0000i   7.0000 - 6.0000i   3.0000 - 3.0000i   6.0000 + 8.0000i   7.0000 - 6.0000i   3.0000 - 3.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
      NaN + 0.0000i      NaN + 0.0000i      NaN + 0.0000i      NaN + 0.0000i      NaN + 0.0000i      NaN + 0.0000i   5.0000 + 6.0000i   3.0000 - 9.0000i      NaN + 0.0000i      NaN + 0.0000i      NaN + 0.0000i   5.0000 + 6.0000i   3.0000 - 9.0000i      NaN + 0.0000i      NaN + 0.0000i      NaN + 0.0000i      NaN + 0.0000i      NaN + 0.0000i      NaN + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i

% Delete NaN in the matrix
V = B(~isnan(B))

V = 
   0.0400 + 0.0000i
   0.3100 + 0.0000i
   0.2000 + 0.0000i
   0.6700 + 0.0000i
   0.5600 + 0.0000i
   0.2200 + 0.0000i
   6.0000 + 6.0000i
   6.0000 + 8.0000i
   7.0000 + 3.0000i
   7.0000 - 6.0000i
   8.0000 - 6.0000i
   3.0000 - 3.0000i
   5.0000 + 6.0000i
   6.0000 + 8.0000i
   5.0000 + 6.0000i
   8.0000 + 5.0000i
   7.0000 - 6.0000i
   3.0000 - 9.0000i
   6.0000 + 6.0000i
   6.0000 + 8.0000i
   7.0000 + 3.0000i
   7.0000 - 6.0000i
   8.0000 - 6.0000i
   3.0000 - 3.0000i
   5.0000 + 6.0000i
   6.0000 + 8.0000i
   5.0000 + 6.0000i
   8.0000 + 5.0000i
   7.0000 - 6.0000i
   3.0000 - 9.0000i
  16.0000 + 6.0000i
   6.0000 + 8.0000i
   7.0000 + 3.0000i
   7.0000 - 6.0000i
   8.0000 - 6.0000i
   3.0000 - 3.0000i
  16.0000 + 6.0000i
   6.0000 + 8.0000i
   7.0000 + 3.0000i
   7.0000 - 6.0000i
   8.0000 - 6.0000i
   3.0000 - 3.0000i
   0.0000 + 0.0000i
   0.0000 + 0.0000i
   0.0000 + 0.0000i
   0.0000 + 0.0000i
   0.0000 + 0.0000i
   0.0000 + 0.0000i

% Another process apply to the matrix
%%%%%%%%%%%%%%%

% Inverse Reconstruction:
% Convert the matrix to cell
H =num2cell(V);

% Reshape the cell
M1 = {};
M = H';
for s=1:6
    M1 = [M1,M{s}];
end
M1s = [M1(1) M1(3) M1(5); M1(2) M1(4) M1(6)];
M1s = cell2mat(M1s);

M2 = {};
for s=7:18
    M2 = [M2,M{s}];
end
M2s{1,1}{1,1} = [M2{1,1} M2{1,3} M2{1,5};M2{1,2} M2{1,4} M2{1,6}];
M2s{1,1}{1,2} = [M2{1,7} M2{1,10}; M2{1,8} M{1,11}; M{1,9} M2{1,12}];

M3 = {};
for s=19:24
    M3 = [M3,M{s}];
end
M3s = [M3(1) M3(3) M3(5); M3(2) M3(4) M3(6)];
M3ss = cell2mat(M3s);

M4 = {};
for s=25:30
    M4 = [M4,M{s}];
end
M4s = [M4(1) M4(3); M4(5) M4(2); M4(4) M4(6)];
M4ss = cell2mat(M4s);

% Combine all cells to become only one cell aray
% Create 1x4 cells
C = {M1s {M2s{1,1}{1,1} M2s{1,1}{1,2}} M3ss M4ss}

C = 1×4 cell array
    {2×3 double}    {1×2 cell}    {2×3 double}    {3×2 double}

[NHJ]

Missing another part in the code:

% Delete symmetry cells
    for kk = 1:numel(F)
    for ii = numel(F{kk}):-1:((numel(F{kk}))/2)+1 
            for oo = 1:ii-1
                F{kk}(oo) = [];
                break
            end
    end
    end
    

Thats why the previous output C is doesn't match. At initial I want to ignore this code. By the way, is there any efficient way/method to do my previous question? Thanks for your response

[Jan]

Just a hint: Replace

G={};
dim = 2;
for k=1:length(F)
  G = [G,F{k}];
end

by

G = [F{:}];

and

M2 = {}
for s=7:18
    M2 = [M2,M{s}]
end

by

M2 = [M{7:18}];

But the main problem is the switching from cells of cells to cells to numerical arrays and the other way around. What is the purpose of this confusing procedure?