Image restoration algorithms based on the bispectrum

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

doi:10.1117/12.50406

Image restoration algorithms based on the bispectrum

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

Department of Electrical and Electronic Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Proceedings of SPIE - The International Society for Optical Engineering
Publisher	Publ by Int Soc for Optical Engineering
Pages	408-418
Number of pages	11
Edition	pt 1
ISBN (Print)	0819407437, 9780819407436
DOIs	https://doi.org/10.1117/12.50406
Publication status	Published - 1991
Event	Visual Communications and Image Processing '91: Image Processing Part 1 (of 2) - Boston, MA, USA Duration: 1991 Nov 11 → 1991 Nov 13

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Number	pt 1
Volume	1606
ISSN (Print)	0277-786X

Other

Other	Visual Communications and Image Processing '91: Image Processing Part 1 (of 2)
City	Boston, MA, USA
Period	91/11/11 → 91/11/13

All Science Journal Classification (ASJC) codes

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

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10.1117/12.50406

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., pp. 408-418). (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 1606, No. pt 1). Publ by Int Soc for Optical Engineering. https://doi.org/10.1117/12.50406

@inproceedings{e6ed0cfb1e6b4cd2a11c228ed9c9bfaf,

title = "Image restoration algorithms based on the bispectrum",

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.",

author = "Kang, {Moon G.} and Lay, {Kuen Tsair} and Katsaggelos, {Aggelos K.}",

year = "1991",

doi = "10.1117/12.50406",

language = "English",

isbn = "0819407437",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

publisher = "Publ by Int Soc for Optical Engineering",

number = "pt 1",

pages = "408--418",

booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

edition = "pt 1",

note = "Visual Communications and Image Processing '91: Image Processing Part 1 (of 2) ; Conference date: 11-11-1991 Through 13-11-1991",

}

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, Proceedings of SPIE - The International Society for Optical Engineering, no. pt 1, 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. https://doi.org/10.1117/12.50406

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. pt 1. ed. Publ by Int Soc for Optical Engineering, 1991. p. 408-418 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 1606, No. pt 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Image restoration algorithms based on the bispectrum

AU - Kang, Moon G.

AU - Lay, Kuen Tsair

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PY - 1991

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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.

AB - 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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M3 - Conference contribution

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T3 - Proceedings of SPIE - The International Society for Optical Engineering

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BT - Proceedings of SPIE - The International Society for Optical Engineering

PB - Publ by Int Soc for Optical Engineering

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ER -

Image restoration algorithms based on the bispectrum

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