Abstract

A complete analysis of motion degradation in two-dimensional linear incoherent optical systems is presented from a system viewpoint. An equivalent space-variant point-spread function is derived from knowledge of the system motion, and the special characteristics of space-invariant and one-dimensional systems are considered. The analysis includes the effects of two different models for geometrical distortion in motion-degraded imaging and derives the distortions for aerial imaging. It is shown that a large class of space-variant operations may be decomposed into the cascade of invertible coordinate transformations and space-invariant systems; a block-diagram representation of this technique is presented. A number of examples of common types of motion blur are included, as well as computer simulations of space-variant blur and the decomposition process.

© 1973 Optical Society of America

Space-variant image restoration by coordinate transformations*

Alexander A. Sawchuk
J. Opt. Soc. Am. 64(2) 138-144 (1974)

Restoration of astigmatism and curvature of field*

A. A. Sawchuk and M. J. Peyrovian
J. Opt. Soc. Am. 65(6) 712-715 (1975)

Space-Variant Image Formation*

A. W. Lohmann and D. P. Paris
J. Opt. Soc. Am. 55(8) 1007-1013 (1965)

Three-dimensional imaging: a space invariant model for space variant systems

David N. Sitter and William T. Rhodes
Appl. Opt. 29(26) 3789-3794 (1990)

Platform motion blur image restoration system

Stephen J. Olivas, Michal Šorel, and Joseph E. Ford
Appl. Opt. 51(34) 8246-8256 (2012)