Moving mean in matrix using first column

I have a matrix:

a = [1 3 5 2 4 6 7 8 10;

4 3 5 2 8 6 7 8 7;

5 8 9 7 2 3 6 1 5]

I would like to calculate the mean of the first column and the next four columns:

[1;4;5] and [3;3;8]

[1;4;5] and [5;5;9]

[1;4;5] and [2;2;7]

[1;4;5] and [4;8;2]

Then I would like to do the same starting for a(:,2) where it also takes the mean with the previous column:

[3;3;8] and [1;4;5]

[3;3;8] and [5;5;9]

[3;3;8] and [2;2;7]

[3;3;8] and [4;8;2]

until I have done this for all the columns. For the last column I would like it to start with the first column of the matrix again after taking the mean with the previous column so:

[10;7;5] and [8;8;1]

[10;7;5] and [1;4;5]

[10;7;5] and [3;3;8]

[10;7;5] and [5;5;9]

Is there a way in which I could use movmean() to achieve this? Or is there a better way?

Thanks

Answer 1

[Matt J]

a = [1 3 5 2 4 6 7 8 10;
     4 3 5 2 8 6 7 8 7;
     5 8 9 7 2 3 6 1 5];

res=@(z) reshape(z,3,1,[]);

A=arrayfun(  @(i) res( circshift(a,[0,-i]) )  ,  [-1,1,2,3],'uni',0);
A=cell2mat(A);

output=(res(a)+A)/2;

output(:,:,1)= a(:,1)/2+a(:,2:5)/2

output = 
output(:,:,1) =

    2.0000    3.0000    1.5000    2.5000
    3.5000    4.5000    3.0000    6.0000
    6.5000    7.0000    6.0000    3.5000


output(:,:,2) =

    2.0000    4.0000    2.5000    3.5000
    3.5000    4.0000    2.5000    5.5000
    6.5000    8.5000    7.5000    5.0000


output(:,:,3) =

    4.0000    3.5000    4.5000    5.5000
    4.0000    3.5000    6.5000    5.5000
    8.5000    8.0000    5.5000    6.0000


output(:,:,4) =

    3.5000    3.0000    4.0000    4.5000
    3.5000    5.0000    4.0000    4.5000
    8.0000    4.5000    5.0000    6.5000


output(:,:,5) =

    3.0000    5.0000    5.5000    6.0000
    5.0000    7.0000    7.5000    8.0000
    4.5000    2.5000    4.0000    1.5000


output(:,:,6) =

    5.0000    6.5000    7.0000    8.0000
    7.0000    6.5000    7.0000    6.5000
    2.5000    4.5000    2.0000    4.0000


output(:,:,7) =

    6.5000    7.5000    8.5000    4.0000
    6.5000    7.5000    7.0000    5.5000
    4.5000    3.5000    5.5000    5.5000


output(:,:,8) =

    7.5000    9.0000    4.5000    5.5000
    7.5000    7.5000    6.0000    5.5000
    3.5000    3.0000    3.0000    4.5000


output(:,:,9) =

    9.0000    5.5000    6.5000    7.5000
    7.5000    5.5000    5.0000    6.0000
    3.0000    5.0000    6.5000    7.0000