Use of a priori knowledge in multispectral image restoration

The use of a priori information and its effect on multiband image restoration are considered. The Wiener solution that takes into account the statistical correlations between image bands is shown to be extremely sensitive to between-channel correlation estimates. In fact, the Wiener restoration using the cross correlations, estimated from a prototype image similar to the original, may give worse results than the Wiener restoration obtained by simply ignoring the cross correlations and independently restoring the channels. With the aim of obtaining a more robust algorithm, a unified set-theoretic framework that allows the simultaneous use of single and multiband a priori information is developed. A number of convex constraint sets are provided for use in a convex projections restoration algorithm