Abstract

An algorithm for image reconstruction from a series of short-exposure images with the use of the self-cross-correlation (self-cross spectrum in the Fourier domain) between an observation g(x, y) and a truncated sub-image of it, p(x, y), is described. The truncated subimages are chosen to be the brightest region in the observed images and of size comparable with that of the average point-spread function. We find that this self-cross spectrum retains the first-order approximation diffraction-limited phase information of the unknown object and does not rely on the integration of the second-order phase difference or the third-order phase closure estimate. For the case in which the components of the object corresponding to the truncated subimage p(x, y) have edges, a method to extract these edges and then use them to recover the phase of the object is presented. Results from computer-simulated data and from real data show the effectiveness of the method.

© 1995 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Reconstruction of photon-limited stellar images by generalized projections with use of the self-cross spectrum

Xiaotian Shi and Rabab K. Ward
J. Opt. Soc. Am. A 11(5) 1589-1598 (1994)

Triple-correlation and Knox–Thompson stellar image reconstruction at high signal levels

Julian Meng and George J. M. Aitken
J. Opt. Soc. Am. A 12(2) 284-290 (1995)

Algorithms for image reconstruction from photon-limited data using the triple correlation

M. J. Northcott, G. R. Ayers, and J. C. Dainty
J. Opt. Soc. Am. A 5(7) 986-992 (1988)

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 (11)

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

Equations (41)

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