Abstract

Bayesian estimation methods are applied to the problem of restoring a distorted noisy image. The distortion system is assumed bilinear, i.e., quadratic and with nonzero spread. Noise is Gaussian, additive, and signal independent. An algorithm for determining the maximum a posteriori probability restored image is determined by using the steepest-ascent method. Results are applied to one- and two-dimensional images in a partially coherent diffraction-limited system, and the effect of coherence and noise on image restorability is assessed.

© 1983 Optical Society of America

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

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