Multichannel image identification and restoration based on the EM algorithm and cross-validation

Aggelos K. Katsaggelos*, Nikolas P. Galatsanos, Kuen Tsair Lay, Wenwu Zhu

*Corresponding author for this work

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

2 Scopus citations

Abstract

In this paper we address some of the main shortcomings of multi-channel (MC) linear restoration filters. The problem of restoring a MC image and simultaneously estimating the MC power spectrum of the image and the noise, required by linear minimum mean squared error (LMMSE) filters is investigated, using the expectation-maximization (EM) algorithm. Second, the problem of estimating, the regularization parameters and operator, required by regularized least-squares (RLS) MC restoration filters is investigated using the cross-validation (CV) function. Furthermore, a novel representation of MC signal processing is introduced. This notation leads to a more natural extension of single-channel (SC) signal processing algorithms to the MC case and yields a new class of matrices which we call semi-block- circulant (SBC) matrices. The properties of these matrices are examined and a family of new efficient algorithms is developed for the computation of the MC EM and CV functions.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
PublisherPubl by Int Soc for Optical Engineering
Pages147-158
Number of pages12
ISBN (Print)0819409405
StatePublished - Dec 1 1992
EventInverse Problems in Scattering and Imaging - San Diego, CA, USA
Duration: Jul 20 1992Jul 22 1992

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume1767
ISSN (Print)0277-786X

Other

OtherInverse Problems in Scattering and Imaging
CitySan Diego, CA, USA
Period7/20/927/22/92

ASJC Scopus subject areas

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

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