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  • 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.
  • 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. (en)
Title
  • Blur Invariants and Projection Operators
  • Blur Invariants and Projection Operators (en)
skos:prefLabel
  • Blur Invariants and Projection Operators
  • Blur Invariants and Projection Operators (en)
skos:notation
  • RIV/67985556:_____/13:00390215!RIV13-GA0-67985556
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • P(GAP103/11/1552)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
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  • 63659
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  • RIV/67985556:_____/13:00390215
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  • image recognition; Fourier transform; projection operators; invariants (en)
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  • [586CDA2DF9C2]
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  • Insbruck
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  • Signal Processing, Pattern Recognition and Applications
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http://linked.open...vavai/riv/projekt
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  • Boldyš, Jiří
  • Flusser, Jan
  • Suk, Tomáš
  • Zitová, Barbara
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http://linked.open.../riv/zahajeniAkce
number of pages
http://bibframe.org/vocab/doi
  • 10.2316/P.2013.798-018
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  • ACTA Press
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  • 978-0-88986-944-8
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