Local image restoration by a least-squares method

Journal Article · Mon Oct 01 00:00:00 EDT 1979 · J. Opt. Soc. Am.; (United States)

DOI:https://doi.org/10.1364/JOSA.69.001333· OSTI ID:5783968

Lahart, M J

Restoration of individual image points by the method of least squares is investigated. We show that restorations computed point by point appear the same as global restorations produced by Fourier techniques. Moreover, parameters that are related to noise, point-spread functions, or object texture can be varied easily from pixel to pixel, allowing a flexibility that is achieved only with computational difficulty in global restoration techniques. To restore individual pixels, only a few points in their neighborhood need to be considered, and the matrices that must be inverted are small enough for practical computation. The sizes of these matrices can be reduced especially if the blurring point-spread function has symmetries.

• Research Organization: University of California, Los Alamos Scientific Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 5783968
• Journal Information: J. Opt. Soc. Am.; (United States), Vol. 69:10
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
IMAGE PROCESSING
LEAST SQUARE FIT
CORRELATION FUNCTIONS
NOISE
OPTICS
STATISTICS
FUNCTIONS
MATHEMATICS
MAXIMUM-LIKELIHOOD FIT
NUMERICAL SOLUTION
657005* - Theoretical Physics- Optics