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

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

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publication1992 IEEE International Conference on Systems, Man, and Cybernetics
Subtitle of host publicationEmergent Innovations in Information Transfer Processing and Decision Making, SMC 1992
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1558-1563
Number of pages6
ISBN (Electronic)0780307208, 9780780307209
DOIs
StatePublished - Jan 1 1992
EventIEEE International Conference on Systems, Man, and Cybernetics, SMC 1992 - Chicago, United States
Duration: Oct 18 1992Oct 21 1992

Publication series

NameConference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
Volume1992-January
ISSN (Print)1062-922X

Other

OtherIEEE International Conference on Systems, Man, and Cybernetics, SMC 1992
CountryUnited States
CityChicago
Period10/18/9210/21/92

ASJC Scopus subject areas

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

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