Abstract

We apply the method of projections onto convex sets (POCS) to recover a signal or image from nonuniform samples and prior knowledge. Both iterative and one-step algorithms to implement POCS are furnished. We discuss our results in relation to the recent work by Sauer and Allebach [ IEEE Trans. Circuits Syst. CAS-34, 1497 ( 1987)], who considered the same problem from a different point of view.

© 1990 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Unified Hilbert space approach to iterative least-squares linear signal restoration

Jorge L. C. Sanz and Thomas S. Huang
J. Opt. Soc. Am. 73(11) 1455-1465 (1983)

Convolution-based framework for signal recovery and applications

A. Enis Çetin and Rashid Ansari
J. Opt. Soc. Am. A 5(8) 1193-1200 (1988)

Algorithms for reconstruction of partially known, band-limited Fourier-transform pairs from noisy data

Richard Barakat and Garry Newsam
J. Opt. Soc. Am. A 2(11) 2027-2039 (1985)

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

Figures (4)

You do not have subscription access to this journal. Figure files 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

Tables (3)

You do not have subscription access to this journal. Article tables 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 (54)

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

Metrics

You do not have subscription access to this journal. Article level metrics 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