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Conference Paper (international conference)

Blur Invariants and Projection Operators

Flusser Jan, Suk Tomáš, Boldyš Jiří, Zitová Barbara

: Signal Processing, Pattern Recognition and Applications, p. 305-312 , Eds: Linsen L., Kampel M.

: Signal Processing, Pattern Recognition and Applications (SPPRA 2013), (Insbruck, AT, 12.02.2013-14.02.2013)

: GAP103/11/1552, GA ČR

: image recognition, Fourier transform, projection operators, invariants

: 10.2316/P.2013.798-018

(eng): In this paper, we introduce a new theory of blur invariants. Blur invariants are image features which preserve their values if the image is convolved with a point-spread function (PSF) of a certain class. We present the invariants to convolution with an arbitrary N-fold symmetric PSF, defined in Fourier domain by means of projection operators. We introduce a notion of a primordial image as a canonical form of all blur-equivalent images. We illustrate by experiments the invariance and recognition power of the new features. Potential applications of this method are wherever one wants to recognize blurred images.

: JD