

times the sampling intervals, are highly sensitive to the perceptual defects due to blurring and aliasing. The random polygons represent a particular realization of scenes with the PSD 

used to compute the information rate
as a funtion of the SFR 
and SNR of the image-gathering device and the mean spatial detail
relative to the sampling intervals. The figures below show the corresponding images restored with the Wiener filter for two of the informationally-optimized designs summarized in the Table.


The above images r(x,y) consist of three components
(x,y) *
r(x,y)+nar(x,y) + npr(x,y)
(x,y) *
r(x,y) accounts for the blurring by the throughput response
r(x,y) (see result
),
nar(x,y) accounts for the aliasing caused by the insufficient sampling that occurs because the SFR 
extends beyond the sampling passband
, and npr(x,y) accounts for the photodetector noise.
The extraneous periodic structure that aliasing produces in the images of the resolution wedges is commonly referred to as Moire pattern. The corresponding distortion in the images of the random polygons, however, emerges more subtle as jagged (or staircase) edges. If these images are displayed at a small format, then the jagged edges could not be resolved by the observer and would appear to be the result of blurring instead of aliasing. Aliasing has therefore often been overlooked as a significant source of image degradation.
The images produced by Wiener restorations, such as the ones shown above, normally have a high resolution and sharpness. However, it is often desirable to combine this restoration with an enhancement filter that gives the user some control over the trade-off among fidelity, resolution, sharpness and clarity. The images shown below represent such enhancement for the above images.
The images that the observer sees on the monitor as a halftone print is subject to some loss in information due to the limited number of distinguishable gray levels of the image-display medium. As shown here, this loss may be small for designs 2 and 3 but substantial for design 1. Hence, the images for design 1 cannot convey fully the improvement in image quality that higher quality image-display media can produce.