Restoration of single channel images with multichannel filtering in the wavelet domain

Mark R. Banham; Nikolas P. Galatsanos; Aggelos K. Katsaggelos; Hector Gonzalez

doi:10.1109/ICSMC.1992.271518

Restoration of single channel images with multichannel filtering in the wavelet domain

Mark R. Banham, Nikolas P. Galatsanos, Aggelos K. Katsaggelos, Hector Gonzalez

MRC - Materials Research Center

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

3 Scopus citations

Abstract

In this paper, we develop a multichannel formulation of a single channel filtering problem in the wavelet domain. This technique is based on an orthogonal matrix representation of the 2-D separable wavelet transform. We show that semi-block circulant (SBC) structures resulting from a similarity transformation with this matrix operator permit a multichannel treatment of a noisy blurred image, yielding an adaptive restoration technique in the wavelet frequency domain. This work presents a new formulation of the 2-D separable wavelet decomposition that clearly produces matrices which may be block-diagonalized with an array Fourier transform. The method described here is a new tool, which builds on multichannel image restoration techniques developed in the past, but uses these ideas in the context of a single channel image, and offers much potential for improved adaptive image restoration in the wavelet domain.

Original language	English (US)
Title of host publication	1992 IEEE International Conference on Systems, Man, and Cybernetics
Subtitle of host publication	Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1558-1563
Number of pages	6
ISBN (Electronic)	0780307208, 9780780307209
DOIs	https://doi.org/10.1109/ICSMC.1992.271518
State	Published - 1992
Event	IEEE International Conference on Systems, Man, and Cybernetics, SMC 1992 - Chicago, United States Duration: Oct 18 1992 → Oct 21 1992

Publication series

Name	Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
Volume	1992-January
ISSN (Print)	1062-922X

Other

Other	IEEE International Conference on Systems, Man, and Cybernetics, SMC 1992
Country/Territory	United States
City	Chicago
Period	10/18/92 → 10/21/92

ASJC Scopus subject areas

Electrical and Electronic Engineering
Control and Systems Engineering
Human-Computer Interaction

Access to Document

10.1109/ICSMC.1992.271518

Cite this

Banham, M. R., Galatsanos, N. P., Katsaggelos, A. K., & Gonzalez, H. (1992). Restoration of single channel images with multichannel filtering in the wavelet domain. In 1992 IEEE International Conference on Systems, Man, and Cybernetics: Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992 (pp. 1558-1563). Article 271518 (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics; Vol. 1992-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICSMC.1992.271518

Banham, Mark R. ; Galatsanos, Nikolas P. ; Katsaggelos, Aggelos K. et al. / Restoration of single channel images with multichannel filtering in the wavelet domain. 1992 IEEE International Conference on Systems, Man, and Cybernetics: Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992. Institute of Electrical and Electronics Engineers Inc., 1992. pp. 1558-1563 (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics).

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title = "Restoration of single channel images with multichannel filtering in the wavelet domain",

abstract = "In this paper, we develop a multichannel formulation of a single channel filtering problem in the wavelet domain. This technique is based on an orthogonal matrix representation of the 2-D separable wavelet transform. We show that semi-block circulant (SBC) structures resulting from a similarity transformation with this matrix operator permit a multichannel treatment of a noisy blurred image, yielding an adaptive restoration technique in the wavelet frequency domain. This work presents a new formulation of the 2-D separable wavelet decomposition that clearly produces matrices which may be block-diagonalized with an array Fourier transform. The method described here is a new tool, which builds on multichannel image restoration techniques developed in the past, but uses these ideas in the context of a single channel image, and offers much potential for improved adaptive image restoration in the wavelet domain.",

author = "Banham, {Mark R.} and Galatsanos, {Nikolas P.} and Katsaggelos, {Aggelos K.} and Hector Gonzalez",

note = "Publisher Copyright: {\textcopyright} 1992 IEEE.; IEEE International Conference on Systems, Man, and Cybernetics, SMC 1992 ; Conference date: 18-10-1992 Through 21-10-1992",

year = "1992",

doi = "10.1109/ICSMC.1992.271518",

language = "English (US)",

series = "Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "1992 IEEE International Conference on Systems, Man, and Cybernetics",

address = "United States",

}

Banham, MR, Galatsanos, NP, Katsaggelos, AK & Gonzalez, H 1992, Restoration of single channel images with multichannel filtering in the wavelet domain. in 1992 IEEE International Conference on Systems, Man, and Cybernetics: Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992., 271518, Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics, vol. 1992-January, Institute of Electrical and Electronics Engineers Inc., pp. 1558-1563, IEEE International Conference on Systems, Man, and Cybernetics, SMC 1992, Chicago, United States, 10/18/92. https://doi.org/10.1109/ICSMC.1992.271518

Restoration of single channel images with multichannel filtering in the wavelet domain. / Banham, Mark R.; Galatsanos, Nikolas P.; Katsaggelos, Aggelos K. et al.
1992 IEEE International Conference on Systems, Man, and Cybernetics: Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992. Institute of Electrical and Electronics Engineers Inc., 1992. p. 1558-1563 271518 (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics; Vol. 1992-January).

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

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T1 - Restoration of single channel images with multichannel filtering in the wavelet domain

AU - Banham, Mark R.

AU - Galatsanos, Nikolas P.

AU - Katsaggelos, Aggelos K.

AU - Gonzalez, Hector

PY - 1992

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N2 - In this paper, we develop a multichannel formulation of a single channel filtering problem in the wavelet domain. This technique is based on an orthogonal matrix representation of the 2-D separable wavelet transform. We show that semi-block circulant (SBC) structures resulting from a similarity transformation with this matrix operator permit a multichannel treatment of a noisy blurred image, yielding an adaptive restoration technique in the wavelet frequency domain. This work presents a new formulation of the 2-D separable wavelet decomposition that clearly produces matrices which may be block-diagonalized with an array Fourier transform. The method described here is a new tool, which builds on multichannel image restoration techniques developed in the past, but uses these ideas in the context of a single channel image, and offers much potential for improved adaptive image restoration in the wavelet domain.

AB - In this paper, we develop a multichannel formulation of a single channel filtering problem in the wavelet domain. This technique is based on an orthogonal matrix representation of the 2-D separable wavelet transform. We show that semi-block circulant (SBC) structures resulting from a similarity transformation with this matrix operator permit a multichannel treatment of a noisy blurred image, yielding an adaptive restoration technique in the wavelet frequency domain. This work presents a new formulation of the 2-D separable wavelet decomposition that clearly produces matrices which may be block-diagonalized with an array Fourier transform. The method described here is a new tool, which builds on multichannel image restoration techniques developed in the past, but uses these ideas in the context of a single channel image, and offers much potential for improved adaptive image restoration in the wavelet domain.

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BT - 1992 IEEE International Conference on Systems, Man, and Cybernetics

PB - Institute of Electrical and Electronics Engineers Inc.

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ER -

Banham MR, Galatsanos NP, Katsaggelos AK, Gonzalez H. Restoration of single channel images with multichannel filtering in the wavelet domain. In 1992 IEEE International Conference on Systems, Man, and Cybernetics: Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992. Institute of Electrical and Electronics Engineers Inc. 1992. p. 1558-1563. 271518. (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics). doi: 10.1109/ICSMC.1992.271518

Restoration of single channel images with multichannel filtering in the wavelet domain

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