Abstract

We present analysis for the recovery of intensity images degraded by an incoherent point spread function (PSF) consisting of a set of randomly distributed impulses. In initial experiments with as many as 100 irregularly spaced impulses, we obtain excellent recovery of the original object provided we have precise knowledge of the PSF. In practice, there is little or no difficulty presented by the zeros of the transfer function of the multiple-point blur. We describe some interesting methods for counting these zeros over an appropriate region of the transform plane. In the second portion of our presentation, particular emphasis is placed on the effects of errors made in the determination of the point spread function. We simulate measurement errors in the recording of the PSF by randomly perturbing the location of each impulse about the actual position used to create the blurred image. Analysis and reconstructions based on variations in the measured psf are presented. Examples include the statistical deviation of the measured impulses from their true locations and the number of impulses present in the degradation.

© 1991 Optical Society of America