Abstract

It is demonstrated that, given a finite number of samples of a function, the constraints of square integrability and band limitation are not sufficient to determine that function uniquely. Hence existing algorithms for band-limited interpolation and extrapolation (e.g., for super resolution) require additional constraints such as those provided by an appropriate model.

© 1981 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Digital superresolution and the generalized sampling theorem

Sudhakar Prasad
J. Opt. Soc. Am. A 24(2) 311-325 (2007)

Data-driven multichannel superresolution with application to video sequences

H. Shekarforoush and R. Chellappa
J. Opt. Soc. Am. A 16(3) 481-492 (1999)

Image reconstruction: a unifying model for resolution enhancement and data extrapolation. Tutorial

Hsin M. Shieh, Charles L. Byrne, and Michael A. Fiddy
J. Opt. Soc. Am. A 23(2) 258-266 (2006)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

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

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 OSA member, or as an authorized user of your institution.

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

Equations (5)

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

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