Adjacent pixel subtraction of matrix

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I have a 3 X 3 Matrix. I want to subtract adjacent pixels on boundaries to subtract from each other in clockwise manner skipping the central pixel. Example:
A= [ 0,0,1;
1,1,0;
0,0,1];
Subtraction of adjacent pixel at boundaries.
(0-0)=0 , (0-1)= -1; (1-0)=1; (0-1)= -1, (1-0)=1, (0,0)=0; (0-1)=-1, (1-0)=1.
I tried
X = [0 0 1;
1, 1,0;
0,0,1];
Y = diff(X,1,2);
But its the difference between columns.
I also tried index wise subtraction. But its not giving correct result.
Thanks in advance

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