Blur is an image degradation that is difficult to remove. Invariants with
respect to blur offer an alternative way of a~description and recognition of
blurred images without any deblurring. In this paper, we present an original
unified theory of blur invariants. Unlike all previous attempts, the new theory
does not require any prior knowledge of the blur type. The invariants are
constructed in the Fourier domain by means of orthogonal projection operators
and moment expansion is used for efficient and stable computation. It is shown
that all blur invariants published earlier are just particular cases of this
approach. Experimental comparison to concurrent approaches shows the advantages
of the proposed theory.Comment: 15 page