The algebraic foundation of the spectrum properties

  • Isaac Amidror
Part of the Computational Imaging and Vision book series (CIVI, volume 15)


We have seen in the previous chapters that the spectrum-convolution (i.e., the spectrum of the layer superposition) consists of a “forest” of impulses with real or complex amplitudes, depending on the symmetry properties in the image domain. We have also seen that the occurrence of a moiré phenomenon in the image superposition is associated with the appearance of 1D or 2D impulse clusters in the spectrum (see Figs. 2.5 and 4.3). By now, we have already explained the role of the main cluster, the one which appears around the spectrum origin; but we did not yet characterize the other clusters which are simultaneously generated in the spectrum of the superposition.


Equivalence Class Dense Module Image Domain Spectrum Origin Frequency Vector 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Isaac Amidror
    • 1
  1. 1.Peripheral Systems LaboratoryEcole Polytechnique Fédérale de LausanneLausanneSwitzerland

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