Analysis of Generalization of a Series of Images by Superimposed Fourier Holograms

Abstract

The problem of recognition of the common fragments in a series of images in the absence of a priori criteria relating any one fragment to the common fragments, apart from the frequency of its appearance, is considered with application to recording of superimposed Fourier holograms with spatially modulated reference images. An analysis of the dependence of the variance of the reconstructed images on the number of superimposed holograms and the characteristics of the recorded images is given. It is shown that the problem can be solved for correlated reference images. Theoretical conclusions are confirmed by numerical modeling for presentation images by realizations of a stationary random process.