In order to visualize reformatted images, a further transformation is desirable since the resolution of the video display is generally higher than that of the reformatted images themselves. This transformation can be modeled as an interpolation between the reformatted image points. The interpolated image is
where is an interpolation function (i.e., the Fourier
Transform of a low-pass filter). If the original imaged object is not
band-limited (which again, is the case in general),
will
not be the same as
.