Abstract

We establish a theory of embedability of supports of two-dimensional sequences. We found that the embedability of a support plays an essential role in the reducibility or irreducibility of the support. The theory can offer a new insight and a geometric visuality to the support problems. For example, the irreducibility of a class of supports including Eisenstein’s support can be checked by use of a simple lemma and by inspection. Based on convolution and embedability arguments, a new description of support irreducibility is suggested. As an application, we propose a new method for determining a reliable and tight bound on object support from its autocorrelation support.

© 1996 Optical Society of America

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