Image restoration algorithms based on the bispectrum

Moon G. Kang, Kuen Tsair Lay, Aggelos K. Katsaggelos

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper we propose two algorithms for the restoration of images based on the bispectrum. The bispectrum of a signal is the Fourier transform of its triple correlation. While second- order statistics (e.g., correlation function, power spectrum, etc.) do not provide any information about the phase of the signal, third-order statistics (e.g., triple correlation, bispectrum, etc.) allow the recovery of the phase of the signal. We propose two algorithms for estimating the magnitude and the phase of the image, where the ambiguity due to the use of the principal value of the phase component is taken into account. Image lines are used in our experiments to test the effectiveness of the proposed algorithms.

Original languageEnglish
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
PublisherPubl by Int Soc for Optical Engineering
Pages408-418
Number of pages11
Volume1606
Editionpt 1
ISBN (Print)0819407437
Publication statusPublished - 1991 Dec 1
EventVisual Communications and Image Processing '91: Image Processing Part 1 (of 2) - Boston, MA, USA
Duration: 1991 Nov 111991 Nov 13

Other

OtherVisual Communications and Image Processing '91: Image Processing Part 1 (of 2)
CityBoston, MA, USA
Period91/11/1191/11/13

Fingerprint

Bispectrum
Image Restoration
Image reconstruction
restoration
Order Statistics
Statistics
statistics
Principal value
Power spectrum
ambiguity
Restoration
power spectra
Fourier transforms
estimating
recovery
Power Spectrum
Correlation Function
Recovery
Fourier transform
Line

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Kang, M. G., Lay, K. T., & Katsaggelos, A. K. (1991). Image restoration algorithms based on the bispectrum. In Proceedings of SPIE - The International Society for Optical Engineering (pt 1 ed., Vol. 1606, pp. 408-418). Publ by Int Soc for Optical Engineering.
Kang, Moon G. ; Lay, Kuen Tsair ; Katsaggelos, Aggelos K. / Image restoration algorithms based on the bispectrum. Proceedings of SPIE - The International Society for Optical Engineering. Vol. 1606 pt 1. ed. Publ by Int Soc for Optical Engineering, 1991. pp. 408-418
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Kang, MG, Lay, KT & Katsaggelos, AK 1991, Image restoration algorithms based on the bispectrum. in Proceedings of SPIE - The International Society for Optical Engineering. pt 1 edn, vol. 1606, Publ by Int Soc for Optical Engineering, pp. 408-418, Visual Communications and Image Processing '91: Image Processing Part 1 (of 2), Boston, MA, USA, 91/11/11.

Image restoration algorithms based on the bispectrum. / Kang, Moon G.; Lay, Kuen Tsair; Katsaggelos, Aggelos K.

Proceedings of SPIE - The International Society for Optical Engineering. Vol. 1606 pt 1. ed. Publ by Int Soc for Optical Engineering, 1991. p. 408-418.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - In this paper we propose two algorithms for the restoration of images based on the bispectrum. The bispectrum of a signal is the Fourier transform of its triple correlation. While second- order statistics (e.g., correlation function, power spectrum, etc.) do not provide any information about the phase of the signal, third-order statistics (e.g., triple correlation, bispectrum, etc.) allow the recovery of the phase of the signal. We propose two algorithms for estimating the magnitude and the phase of the image, where the ambiguity due to the use of the principal value of the phase component is taken into account. Image lines are used in our experiments to test the effectiveness of the proposed algorithms.

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Kang MG, Lay KT, Katsaggelos AK. Image restoration algorithms based on the bispectrum. In Proceedings of SPIE - The International Society for Optical Engineering. pt 1 ed. Vol. 1606. Publ by Int Soc for Optical Engineering. 1991. p. 408-418