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.
© 1985 Optical Society of America
Karen M. Nashold and Bahaa E. A. Saleh, "Image construction through diffraction-limited high-contrast imaging systems: an iterative approach," J. Opt. Soc. Am. A 2, 635-643 (1985)