MULTIDIMENSIONAL FOURIER-TRANSFORMS AND IMAGE PROCESSING WITH FINITE SCANNING APERTURES

The Mertz and Gray analysis of image scanning in terms of multidimensional Fourier transforms is reformulated using a different coordinate system. A simplified mathematical notation is used for this analysis leading to scanning equations that emphasize the importance of the scanning apertures. Other image processes involving scanning are described in terms of their multidimensional Fourier transforms. These include a novel two-dimensional screening technique, and its comparison with a simple screening method and with conventional photographic screening processes. The effect on video spectra of aperture filtering and an analysis of television line interlacing are also given. The conditions for the validity of the unidimensional analysis of some of these image processing systems are indicated.