Hello Renaud,
You can take the help of indexing cell array to perform extraction of hyperspace from a multi-dimensional matrix. Let us take a 5-dimensional matrix and see how it works:
% Define the size of each dimension
dim1 = 3;
dim2 = 4;
dim3 = 5;
dim4 = 6;
dim5 = 7;
% Generate grid data for each dimension
[x1, x2, x3, x4, x5] = ndgrid(1:dim1, 1:dim2, 1:dim3, 1:dim4, 1:dim5);
% Create a 5D matrix with a specific pattern
% For example, use a simple function: M = x1 + 2*x2 + 3*x3 + 4*x4 + 5*x5
M = x1 + 2*x2 + 3*x3 + 4*x4 + 5*x5;
% Specify the dimension and the index to extract
m = 3; % The dimension to slice
i = 2; % The index to extract from the m-th dimension
% Determine the number of dimensions in M
numDims = ndims(M);
% Create an indexing cell array
index = repmat({':'}, 1, numDims); % Initialize with ':'
index{m} = i; % Set the specific index for the m-th dimension
% Extract the submatrix
subM = squeeze(M(index{:}));
% Display the size of the original and submatrix
disp('Original matrix size:');
disp(size(M));
disp('Submatrix size:');
disp(size(subM));
% Display the submatrix for verification
disp('Extracted submatrix:');
disp(subM);
You can modify the matrix generation part, add your data directly and follow the further process to extract the hyperspace.
I hope this resolves your query!
