Least Squares Restoration of Multichannel Images

Nikolas P. Galatsanos*, Aggelos K. Katsaggelos, Roland T. Chin, Allen D. Hillery

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

133 Scopus citations

Abstract

In this paper we consider the problem of multichannel restoration using both within- and between-channel deterministic information. A multichannel image is a set of image planes that exhibit cross-plane similarity. Existing optimal restoration filters for single-plane images will yield suboptimal results when applied to multichannel images, since between-channel information is not utilized. Multichannel least squares restoration filters are developed using two approaches, a set theoretic and a constrained optimization. A geometric interpretation of the estimates of both filters is given. Color images, that is, three-channel imagery with red, green, and blue components, are considered. Constraints that capture the within-and between-channel properties of color images are developed. Issues associated with the computation of the two estimates are addressed. A spatially adaptive, multichannel least squares filter that utilizes local within- and between-channel image properties is proposed. Finally, experiments using color images are shown.

Original languageEnglish (US)
Pages (from-to)2222-2236
Number of pages15
JournalIEEE Transactions on Signal Processing
Volume39
Issue number10
DOIs
StatePublished - Oct 1991

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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