How to create grid coordinates using elements of two matrices

Can you help? I have a situation like this:

How can I use the elements of the above two matrices to create a new grid coordinate system for another matrix? PS: Only consider a situation like this. Do not think in this sub2ind or ind2sub way.

Answer 1

[KSSV]

A = [2 3 ; 4 5] ;
B = [6 7 ; 8 9] ;
for i = 1:2
    for j = 1:2
        P = [A(i,j) B(i,j)]
    end
end

P = 1×2

2 6

P = 1×2

3 7

P = 1×2

4 8

P = 1×2

5 9

[Gobert]

Thank you!

[priyanka kumari]

Thank you

Answer 2

[Image Analyst]

Robert:

You can do

M1 = [2 3 ; 4 5];
M2 = [6 7 ; 8 9];
newM = reshape([M1(:), M2(:)], [], 2)

which gives a 4 row by 2 column matrix.

newM =

2 6

4 8

3 7

5 9

Essentially it's a vectorized version of what KSSV did.

To have each element be a 2-by-1 row vector, like you showed, you would need to create either a table or a cell array. I show you how to do this below:

% Create table:
t = table(newM(1:2,:), newM(3:4, :))

% Create cell array
ca = cell(2, 2);
for k = 1 : 4
    ca{k} = newM(k,:);
end
ca % Show in command window.

You get:

t =

2×2 table

Var1 Var2

______ ______

2 6 3 7

4 8 5 9

ca =

2×2 cell array

{[2 6]} {[3 7]}

{[4 8]} {[5 9]}

[Gobert]

Thank you!