shifting of matrix elements

hi,Can i divide the matrix into layers ,outer layer(boundary elements)then second layer and so on.
for example
original matrix is 
1  2  3  4  5  6  7  8
9 10 11	12 13 14 15 16
17 18 19 20 21 22 23 24
25 26 27 28 29 30 31 32
33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48
49 50 51 52 53 54 55 56
57 58 59 60 61 62 63 64
After one bit right shift of outside boundary and inside layers (its like contour)


9  1  2  3  4  5   6 7
17 18 10 11 12 13 14 8
25 26 27 19 20 21 15 16
33 34 35 36 28 22 23 24
41 42 43 37 29 30 31 32
49 50 44 45 46 38 39 40
57 51 52 53 54 55 47 48
58 59 60 61 62 63 64 56

Answer 1

[David Hill]

Not sure if there is an easier way, but this does it for you.

function M=matShift(M)
x=size(M,1);
for k=1:floor(x/2)
    z=x-2*(k-1)-1;
    y=circshift([M(k,k:end-k),M(k:end-k,end-k+1)',M(end-k+1,end-k+1:-1:k+1),M(end-k+1:-1:k+1,k)'],1);
    M(k,k:end-k)=y(1:z);
    M(k:end-k,end-k+1)=y(z+1:2*z);
    M(end-k+1,end-k+1:-1:k+1)=y(2*z+1:3*z);
    M(end-k+1:-1:k+1,k)=y(3*z+1:4*z);
end

[sadiqa ilyas]

It works .Thank you so much

[sadiqa ilyas]

so how to get the original matrix back

[David Hill]

Just assign to a different variable at beginning

m=M;

[sadiqa ilyas]

thanks