How can i find maximum value at each (x,y)location and the plane which contains it in a multidimensional matrix

I have multiple matrices of (M by N) sizes. I need to find which among them contains maximum value at each location(x,y). For loop is very time consumming. Need vectorized operation. Using Matlab 2016 version. Thanks.

Answer 1

[Star Strider]

Try this:

M = 10;
N = 15;
A1 = rand(M,N);                                         % Create Matrix
A2 = rand(M,N);                                         % Create Matrix
A3 = rand(M,N);                                         % Create Matrix
A4 = rand(M,N);                                         % Create Matrix

Acat = cat(3, A1, A2, A3, A4);                          % Concatenate Along Dimension 3
[Max,MaxIdx] = max(Acat, [], 3);                        % Find Max & inIndex Along Dimension 3

The ‘Max’ value is the value of the maximum amongst the matrices created y ‘Acat’, and ‘MaxIdx’ is the matrix with that value, correspoinding to the order in which you concatenated them.

[ipwork]

Great, such a simple and efficient solution! Thanks!

[Star Strider]

As always, my pleasure!