Errors in frequency-domain processing of images

Practical techniques for the determination of image spectra have been developed and become popular in the past few years. Both optical processing systems and digital computers can be used to perform linear filtering via the frequency domain. Optical processing systems use Fourier-transforming lenses and coherent light. Digital computer software uses the Cooley-Tukey algorithm to advantage, while computer hardware must be augmented by optical scanning devices that interface with images. Processing errors arise in both types of systems, but for different reasons. In this paper we present some results concerning errors in the spatial frequency domain.