Title :
Two methods for least squares multi-channel image restoration
Author :
Galatsanos, Nikolas P. ; Katsaggelos, Aggelos K. ; Chin, Roland T. ; Hillery, Allen
Author_Institution :
Illinois Inst. of Technol., Chicago, IL, USA
Abstract :
The problem of multi-channel restoration using both within and between-channel deterministic information is considered. A multi-channel 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 multi-channel images, since between-channel information is not utilized. Multi-channel least squares restoration filters are developed using two approaches, the set theoretic and the 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. Finally, experiments using color images are shown
Keywords :
colour; filtering and prediction theory; least squares approximations; optimisation; picture processing; set theory; between-channel properties; blue; color images; constrained optimization; geometric interpretation; green; image planes; least squares restoration filters; multichannel image restoration; red; set theoretic; three-channel imagery; within channel information; Color; Computer science; Constraint optimization; Constraint theory; Crosstalk; Degradation; Image restoration; Information filtering; Information filters; Least squares methods;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on
Conference_Location :
Toronto, Ont.
Print_ISBN :
0-7803-0003-3
DOI :
10.1109/ICASSP.1991.150911
