Abstract

Wiener filters are determined for the restoration of images that undergo bilinear distortion (i.e., nonzero-spread quadratic) in the presence of additive noise. Results are applied to partially coherent diffraction-limited imaging systems. The roles of coherence, diffraction, and a priori information are assessed, and an explanation of the limitation on restorability imposed by nonlinearity is provided. Performance of the restoration filter is measured by the reduction in mean-square error and the improvement in two-point resolution.

© 1980 Optical Society of America

Restoration of bilinearly distorted images: II. Bayesian method

Bahaa E. A. Saleh and Madjid Rabbani
J. Opt. Soc. Am. 73(1) 71-75 (1983)

Restoration of bilinearly distorted images: I. finite impulse response linear digital filtering

Bahaa E. A. Saleh and Madjid Rabbani
J. Opt. Soc. Am. 73(1) 66-70 (1983)

Restoration of bilinearly distorted images. 3: Constrained least-squares method

M. Rabbani and B. E. A. Saleh
Appl. Opt. 22(22) 3549-3554 (1983)

Wiener restoration of defocused partially coherent images

Bahaa E. A. Saleh
Appl. Opt. 19(21) 3646-3650 (1980)

Restoration of partially coherent images by use of a second-degree nonlinear filter

Bahaa E. A. Saleh and Soheil I. Sayegh
Appl. Opt. 20(23) 4089-4093 (1981)