Restoration and enhancement of arbitrary finite-energy images from incomplete spatial and spectral information

In this paper we extend the generalized image restoration theory developed by Youla (1) to arbitrary L2(i.e., square-integrable) images or signals. Specifically we furnish recursive algorithms to restore images from (1) extended segments and low-pass spectra and (2) short segments and high-pass spectra. We also assert that it is not possible to restore an arbitrary image from only its low-pass spectrum and a short segment.