Least squares restoration of multichannel images

Author

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

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Inst. of Technol., Chicago, IL, USA

Volume

39

Issue

10

fYear

1991

fDate

10/1/1991 12:00:00 AM

Firstpage

2222

Lastpage

2236

Abstract

Multichannel restoration using both within- and between-channel deterministic information is considered. A multichannel image is a set of image planes that exhibit cross-plane similarity. Existing optimal restoration filters for single-plane images yield suboptimal results when applied to multichannel images, since between-channel information is not utilized. Multichannel least squares restoration filters are developed using the set theoretic and the constrained optimization approaches. A geometric interpretation of the estimates of both filters is given. Color images (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. Experiments using color images are described

Keywords

filtering and prediction theory; least squares approximations; picture processing; between-channel information; color images; constrained optimization approaches; deterministic information; image restoration; least squares restoration filters; multichannel images; set theoretic approach; within-channel information; Color; Constraint theory; Crosstalk; Image restoration; Image sensors; Information filtering; Information filters; Least squares methods; Signal processing; Signal restoration;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.91180

Filename

91180