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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 11 — May. 24, 2010
  • pp: 11396–11405

Motion detection using extended fractional Fourier transform and digital speckle photography

Basanta Bhaduri, C. J. Tay, C. Quan, and Colin J. R. Sheppard  »View Author Affiliations


Optics Express, Vol. 18, Issue 11, pp. 11396-11405 (2010)
http://dx.doi.org/10.1364/OE.18.011396


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Abstract

Digital speckle photography is a useful tool for measuring the motion of optically rough surfaces from the speckle shift that takes place at the recording plane. A simple correlation based digital speckle photographic system has been proposed that implements two simultaneous optical extended fractional Fourier transforms (EFRTs) of different orders using only a single lens and detector to simultaneously detect both the magnitude and direction of translation and tilt by capturing only two frames: one before and another after the object motion. The dynamic range and sensitivity of the measurement can be varied readily by altering the position of the mirror/s used in the optical setup. Theoretical analysis and experiment results are presented.

© 2010 OSA

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(120.3940) Instrumentation, measurement, and metrology : Metrology
(330.4150) Vision, color, and visual optics : Motion detection
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: March 12, 2010
Revised Manuscript: May 2, 2010
Manuscript Accepted: May 4, 2010
Published: May 14, 2010

Citation
Basanta Bhaduri, C. J. Tay, C. Quan, and Colin J. R. Sheppard, "Motion detection using extended fractional Fourier transform and digital speckle photography," Opt. Express 18, 11396-11405 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-11-11396


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References

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