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Applied Optics

Applied Optics


  • Editor: Glenn D. Boreman
  • Vol. 44, Iss. 33 — Nov. 20, 2005
  • pp: 7043–7049

Fourier-transform method of data compression and temporal fringe pattern analysis

Tuck Wah Ng and Kar Tien Ang  »View Author Affiliations

Applied Optics, Vol. 44, Issue 33, pp. 7043-7049 (2005)

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Temporal fringe pattern analysis is invaluable in studies of transient phenomena but necessitates large data storage for two essential sets of data, i.e., fringe pattern intensity and deformation phase. We describe a compression scheme based on the Fourier-transform method for temporal fringe data storage that permits retrieval of both the intensity and the deformation phase. When the scheme was used with simulated temporal wavefront interferometry intensity fringe patterns, a high compression ratio of 10.77 was achieved, with a significant useful data ratio of 0.859. The average root-mean-square error in phase value restored was a low 0.0015 rad. With simulated temporal speckle interferometry intensity fringe patterns, the important paremeters varied with the modulation cutoff value applied. For a zero modulation cutoff value, the ratio of data points and the compression ratio values obtained were roughly the same as in wavelength interferometry, albeit the average root-mean-square error in the phase value restored was far higher. By increasing the modulation cutoff value we attained significant reduction and increase in the ratio of data points and the compression ratio, respectively, whereas the average root-mean-square error in the restored phase values was reduced only slightly.

© 2005 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.3010) Image processing : Image reconstruction techniques
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.3940) Instrumentation, measurement, and metrology : Metrology

ToC Category:
Image Processing

Original Manuscript: November 29, 2004
Revised Manuscript: August 8, 2005
Manuscript Accepted: August 9, 2005
Published: November 20, 2005

Tuck Wah Ng and Kar Tien Ang, "Fourier-transform method of data compression and temporal fringe pattern analysis," Appl. Opt. 44, 7043-7049 (2005)

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