Import 3D matrix in .mat File

Hi, I have a file 'data.mat' attached. The file contain a 3D matrix with 128x128x128 dimension.

I would like to import this matrix attached to a matlab script.

Indeed, I would like to use directly matrix imported and name it by a variable, say, y which have three dimension

However, when I use the command

y=load('data.mat')

shows

1x1 struct

in workspace.

How to import the respective matrix using a script to shows

y 128x128x128 double

in workspace?

Thank you so much in advance.

Answer 1

[Stephen23]

"Hi, I have a file 'data.mat' attached. The file contain a 3D matrix with 128x128x128 dimension."

No, it does not. It actually contains 128 separately named variables, each of which is a 128x128 matrix.

Note that MAT files can store any MATLAB variable, so you could have saved one 3D array instead, as you wrote (but didn't). If you had, your task would be much simpler and more robust.

Also note that forcing pseudo-indices into the variable names also makes this task harder: if you had used simple and very efficient indexing instead (e.g. into one cell array) then your task would be simpler and more robust.

Lets look at your data, we can see that you do NOT have one 3D array but lots of separate matrices:

S = load('data.mat')

S = struct with fields:
      Expression1: [128×128 double]
      Expression2: [128×128 double]
      Expression3: [128×128 double]
      Expression4: [128×128 double]
      Expression5: [128×128 double]
      Expression6: [128×128 double]
      Expression7: [128×128 double]
      Expression8: [128×128 double]
      Expression9: [128×128 double]
     Expression10: [128×128 double]
     Expression11: [128×128 double]
     Expression12: [128×128 double]
     Expression13: [128×128 double]
     Expression14: [128×128 double]
     Expression15: [128×128 double]
     Expression16: [128×128 double]
     Expression17: [128×128 double]
     Expression18: [128×128 double]
     Expression19: [128×128 double]
     Expression20: [128×128 double]
     Expression21: [128×128 double]
     Expression22: [128×128 double]
     Expression23: [128×128 double]
     Expression24: [128×128 double]
     Expression25: [128×128 double]
     Expression26: [128×128 double]
     Expression27: [128×128 double]
     Expression28: [128×128 double]
     Expression29: [128×128 double]
     Expression30: [128×128 double]
     Expression31: [128×128 double]
     Expression32: [128×128 double]
     Expression33: [128×128 double]
     Expression34: [128×128 double]
     Expression35: [128×128 double]
     Expression36: [128×128 double]
     Expression37: [128×128 double]
     Expression38: [128×128 double]
     Expression39: [128×128 double]
     Expression40: [128×128 double]
     Expression41: [128×128 double]
     Expression42: [128×128 double]
     Expression43: [128×128 double]
     Expression44: [128×128 double]
     Expression45: [128×128 double]
     Expression46: [128×128 double]
     Expression47: [128×128 double]
     Expression48: [128×128 double]
     Expression49: [128×128 double]
     Expression50: [128×128 double]
     Expression51: [128×128 double]
     Expression52: [128×128 double]
     Expression53: [128×128 double]
     Expression54: [128×128 double]
     Expression55: [128×128 double]
     Expression56: [128×128 double]
     Expression57: [128×128 double]
     Expression58: [128×128 double]
     Expression59: [128×128 double]
     Expression60: [128×128 double]
     Expression61: [128×128 double]
     Expression62: [128×128 double]
     Expression63: [128×128 double]
     Expression64: [128×128 double]
     Expression65: [128×128 double]
     Expression66: [128×128 double]
     Expression67: [128×128 double]
     Expression68: [128×128 double]
     Expression69: [128×128 double]
     Expression70: [128×128 double]
     Expression71: [128×128 double]
     Expression72: [128×128 double]
     Expression73: [128×128 double]
     Expression74: [128×128 double]
     Expression75: [128×128 double]
     Expression76: [128×128 double]
     Expression77: [128×128 double]
     Expression78: [128×128 double]
     Expression79: [128×128 double]
     Expression80: [128×128 double]
     Expression81: [128×128 double]
     Expression82: [128×128 double]
     Expression83: [128×128 double]
     Expression84: [128×128 double]
     Expression85: [128×128 double]
     Expression86: [128×128 double]
     Expression87: [128×128 double]
     Expression88: [128×128 double]
     Expression89: [128×128 double]
     Expression90: [128×128 double]
     Expression91: [128×128 double]
     Expression92: [128×128 double]
     Expression93: [128×128 double]
     Expression94: [128×128 double]
     Expression95: [128×128 double]
     Expression96: [128×128 double]
     Expression97: [128×128 double]
     Expression98: [128×128 double]
     Expression99: [128×128 double]
    Expression100: [128×128 double]
    Expression101: [128×128 double]
    Expression102: [128×128 double]
    Expression103: [128×128 double]
    Expression104: [128×128 double]
    Expression105: [128×128 double]
    Expression106: [128×128 double]
    Expression107: [128×128 double]
    Expression108: [128×128 double]
    Expression109: [128×128 double]
    Expression110: [128×128 double]
    Expression111: [128×128 double]
    Expression112: [128×128 double]
    Expression113: [128×128 double]
    Expression114: [128×128 double]
    Expression115: [128×128 double]
    Expression116: [128×128 double]
    Expression117: [128×128 double]
    Expression118: [128×128 double]
    Expression119: [128×128 double]
    Expression120: [128×128 double]
    Expression121: [128×128 double]
    Expression122: [128×128 double]
    Expression123: [128×128 double]
    Expression124: [128×128 double]
    Expression125: [128×128 double]
    Expression126: [128×128 double]
    Expression127: [128×128 double]
    Expression128: [128×128 double]

Because fields can change order, a robust approach would be something like this:

S = orderfields(S,compose("Expression%d",1:128));
C = struct2cell(S);
A = cat(3,C{:}) % and that is the output

A = 
A(:,:,1) =

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size(A) % yes, it has the correct size

ans = 1×3

128 128 128

[SAC CSA]

@Stephen thank you so much for your kindness in answering my question. Although the command suggested by you generates a 3D matrix as asked, it does not represent the matrix I was looking for.

I would like to say that the 'data.mat' file was generated from Mathematica.The way as Mathematica represents a 3D matrix is through layers of arrays, like as {{{ {lines}, columns},depth}}.

Indeed, the 'data.mat' file describes the figure attached to this comment, where the 1's represent the orange pixels and the 0's represent the gray pixels.

Specifically, I expected that several position as Y(6,23,23)=1, Y(6,23,24)=1, Y(6,23,05)=1, Y(6,23,106)=1, Y(6, 24, 23)=1, Y(6, 24, 24)=1, Y(6, 24, 105)=1, Y(6, 24, 106)=1, Y(6, 50, 64)=1, Y(6, 50, 65)=1, Y(6, 51, 64)=1, Y(6, 51, 65)=1, Y(6, 64, 51)=1, Y(6, 64, 78)=1, Y(6, 65, 51)=1, Y(6, 65, 78)=1, Y(6, 78, 64)=1, Y(6, 78, 65)=1, Y(6, 79, 64)=1, Y(6, 79, 65)=1, Y(6, 105, 23)=1, Y(6, 105, 24)=1, Y(6, 105, 105)=1, Y(6, 105, 106)=1, Y(6, 106, 23)=1, Y(6, 106, 24)=1, Y(6, 106, 105)=1, Y(6, 106, 106)=1 and others more than 50,000 elements are 1's.

Could you help me edit the commands suggested by you earlier to get the 3D matrix?

[Stephen23]

All of your data are there. Lets have a look:

S = load('data.mat');
S = orderfields(S,compose("Expression%d",1:128));
C = struct2cell(S);
A = cat(3,C{:});

Checking by plotting the data:

[X,Y,Z] = ind2sub(size(A),find(A));
scatter3(X,Y,Z, 12, [237,224,102]/255, 'filled', 'MarkerEdgeColor',[242,162,27]/255)
set(gca,'ZDir','reverse')

Compared against your expected figure:

[SAC CSA]

Thank you very much for your kindness and generosity.

Answer 2

[KSSV]

y=load('data.mat') 
names = fieldnames(y) ; 
 n = length(names); 
 iwant = zeros(128,128,n) ;
 for i = 1:n
     iwant(:,:,i) = getfield(y,names{i}) ;
 end