Abstract

It is shown that both surface tilting and translational motion can be independently estimated by use of the speckle photographic technique by capturing consecutive images in two different fractional Fourier domains. A geometric interpretation, based on use of the Wigner distribution function, is presented to describe this application of the optical fractional Fourier transform when little prior information is known about the motion.

© 2003 Optical Society of America

Full Article  |  PDF Article
More Like This
Holographic interferometry and the fractional Fourier transformation

John T. Sheridan and Robert Patten
Opt. Lett. 25(7) 448-450 (2000)

Speckle photography: mixed domain fractional Fourier motion detection

Robert F. Patten, Bryan M. Hennelly, Damien P. Kelly, Feidhlim T. O'Neill, Ying Liu, and John T. Sheridan
Opt. Lett. 31(1) 32-34 (2006)

Motion detection using extended fractional Fourier transform and digital speckle photography

Basanta Bhaduri, C. J. Tay, C. Quan, and Colin J. R. Sheppard
Opt. Express 18(11) 11396-11405 (2010)

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

Contact your librarian or system administrator
or
Login to access Optica 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 Optica member, or as an authorized user of your institution.

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

Figures (1)

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 (13)

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

Metrics