Abstract

The application of coherent optical techniques to the study of correlations in the detailed structure of electron (or light) micrographs was considered for the case when the structure appears to be random. A statistical autocorrelation analysis was made for a random array of transparent disks on an opaque background, relating the radii of the central and first autocorrelation maxima to the radius and mean separation, respectively, of the disks. Experimental determinations of the two-dimensional autocorrelation function were made both for arrays of disks and ellipses. In each case, the shape of the central maximum was similar to the shape of the objects (when all had the same shape and orientation). In addition, the shape of the first autocorrelation maximum was dependent only upon the distribution of centroids of the objects in the array and exhibited the proper asymmetry when the mean separation of centroids differed for the two dimensions. In this latter case, a rectangular first autocorrelation maximum was observed, implying separability of the two-dimensional autocorrelation function and providing a technique for direct quantitative determinations of the mean separations.

© 1971 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Optical Correlation Analysis of an Array of Circular Disks

R. J. Bieringer
Appl. Opt. 11(11) 2714-2715 (1972)

Optical-Autocorrelation Analysis of an Array of Partially Oriented Ellipses

R. J. Bieringer and R. C. Hedler
Appl. Opt. 12(11) 2558-2560 (1973)

Optical Correlation Using Diffuse Objectsf

R. J. Bieringer
Appl. Opt. 12(2) 249-254 (1973)

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 (8)

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 (21)

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