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It is desired to preprocess an input image so that, when it is distorted by an imaging system, a prescribed output image is produced. The system of interest is a linear, shift-invariant, band-limited system followed by a hard limiter. Such a system is found, for example, in microphotography, when a camera that is band limited by diffraction effects is used to print on very-high-contrast film. In this paper, an iterative solution that employs alternating projections is presented. Two variations of the procedure, which is similar to the Gerchberg–Papoulis algorithm, are applied to several examples having different space–bandwidth products. Also, a method of overrelaxing the projections to improve convergence is studied.
Nashold et al. (Wed,) studied this question.