Abstract

A statistical method of extrapolating the bandwidth of nonstationary imagery is outlined. The technique combines the information that is passed by a linear optical systems, an estimate of the modulus of Fourier components in the remainder of the object spectrum, and a priori knowledge about the object to estimate the most-likely values of spectral components beyond the image bandwidth. It can be made to tolerate noise within the image bandwidth. The method is applied to images produced by objects that are finite in extent and by objects that are modulated by periodic gratings.

© 1974 Optical Society of America

Restoring with Maximum Likelihood and Maximum Entropy*

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