Abstract

Wiener filters for restoration of images and Wiener filters for image recognition are well established. We present the relations between two versions of Wiener restoration filters and develop new conceptual interpretations of the Wiener recognition filter, in the process of which interesting features are revealed. In one interpretation we show that the correlation signal resulting from Wiener recognition filtering may be regarded as the restoration of a hidden delta function. In another interpretation we regard the Wiener recognition filter as a two-filter scheme whereby an inverse filter and a Wiener restoration filter are operated sequentially. Results of simulations of the latter representation are presented for various input-noise models, providing useful insight into the implications of such an interpretation.

© 1996 Optical Society of America

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