PMID: 3756243Jan 1, 1986Paper

Fourier transform magnitudes are unique pattern recognition templates

Biological cybernetics
P H GardenierR H Bates

Abstract

Fourier transform magnitudes are commonly used in the generation of templates in pattern recognition applications. We report on recent advances in Fourier phase retrieval which are relevant to pattern recognition. We emphasise in particular that the intrinsic form of a finite, positive image is, in general, uniquely related to the magnitude of its Fourier transform. We state conditions under which the Fourier phase can be reconstructed from samples of the Fourier magnitude, and describe a method of achieving this. Computational examples of restoration of Fourier phase (and hence, by Fourier transformation, the intrinsic form of the image) from samples of the Fourier magnitude are also presented.

References

Jan 1, 1978·Perception·P Cavanagh
Jun 1, 1968·The Bulletin of Mathematical Biophysics·G W Moore, M Goodman
Jan 1, 1984·Biological cybernetics·H J Reitboeck, J Altmann
Jul 1, 1976·Applied Optics·D Casasent, D Psaltis
Aug 1, 1982·Applied Optics·J R Fienup
Jan 1, 1984·IEEE Transactions on Pattern Analysis and Machine Intelligence·J Altmann, H J Reitbock

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Citations

Nov 2, 2004·Neural Computation·Ingo J WundrichRolf P Würtz
Mar 1, 1995·Journal of Toxicology and Environmental Health·M P Mingeot-LeclercqA Schanck
Oct 24, 1988·Physical Review Letters·R Bruinsma

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