Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Embedability theory of two-dimensional supports, with applications

Not Accessible

Your library or personal account may give you access

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

Full Article  |  PDF Article
More Like This
Testing for support irreducibility

B. J. Brames
J. Opt. Soc. Am. A 4(1) 135-147 (1987)

Phase retrieval for discrete functions with support constraints

Thomas R. Crimmins
J. Opt. Soc. Am. A 4(1) 124-134 (1987)

Improved bounds on object support from autocorrelation support and application to phase retrieval

T. R. Crimmins, J. R. Fienup, and B. J. Thelen
J. Opt. Soc. Am. A 7(1) 3-13 (1990)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (13)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (20)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved