Find Maximum Values of a 3 Dimensional Matrix

I need to find each maximum values (position/indexing of values) of each layer on a 3 dimensional matrix.

It was given for a two dimensional matrix.

example:

--------------------

A = [8 2 4; 7 3 9];
[M,I] = max(A(:));
[I_row, I_col] = ind2sub(size(A),I)

---------------------

Here I_row and I_col is could be found. But I need a 3 dimensional matrix's maximum indexing of each layers.

Example:

---------------------

F(:,:,1)=[8 2 4; 7 3 9];
F(:,:,2)=[7 2 1; 0 5 1];

---------------------

I need position of 9 for the 1'st layer (which is (2,3)), and also position of the 7 for the 2'nd layer (which is (2,1)).

That layers are going up to 150 or more. (F(:,:,150))

So, how can I find each of the maxsimum of the matrix?

Thanks in advance.

Answer 1

[Thorsten]

Reshape the pages of F into separate columns, determine the max for each column and use ind2sub to convert linear indices to subscripts:

[s1 s2 s3] = size(F);
[maxval, ind] = max(reshape(F(:), s1*s2, []));
[i j] = ind2sub([s1 s2], ind);
X = [maxval' i' j'];

[ercan duzgun]

Dear Thorsten,

Thank you, it works

Answer 2

[Walter Roberson]

[M,I] = max(F(:));
[I_row, I_col, I_page] = ind2sub(size(F),I)

[ercan duzgun]

Dear Walter Roberson,

Thanks for your answer. But this code gives the overall maximum position of the F matrix. I need the each maximum of each layer/I_page.

Your code gives the that result for this request code: ----------------

F(:,:,1)=[8 2 4; 7 3 9];
F(:,:,2)=[7 2 1; 0 5 1];

[M,I] = max(F(:));
[I_row, I_col, I_page] = ind2sub(size(F),I)
-------------------

(Command Window gives this result:) ---------------- I_row = 2 I_col = 3 I_page = 1 >> -----------------

But what I need is like that: for I_page(1); the maximum position is I_row=2 ; I_col=3 and for I_page(2); the maximum position is I_row=1 ; I_col=1.

I need the every maximum position of the each page/layer as I said before. I couldn't manage to do this.

Thank you for your response, but it doesn't work for me.

Kind regards.