Is there any matrix decomposition that is invariant to rotation in domain space? SVD is invariant to rotation in range space (I believe), but not in domain space.
In other words, I am looking for a matrix decomposition for which applying some operation on the components is equivalent to rotating the elements of the matrix.
PS: My matrix is actually an image kind of array. Thus, when I rotate the matrix elements, I interpolate the values to get the new matrix.