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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 37, Iss. 17 — Sep. 1, 2012
  • pp: 3561–3563

Optics InfoBase > Optics Letters > Volume 37 > Issue 17 > Page 3561

Windowed Fourier transform profilometry based on improved S-transform

F. Da and F. Dong  »View Author Affiliations


Optics Letters, Vol. 37, Issue 17, pp. 3561-3563 (2012)
http://dx.doi.org/10.1364/OL.37.003561


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Abstract

A novel method for windowed Fourier transform (WFT) profilometry is presented. This method is based on improved S-transform. The impact of the second order derivative of the phase (φ′′(b)) to the ridge of S-transform is derived, and how to estimate this deviation is discussed. An important conclusion that more accurate instantaneous frequency can be obtained after removing this deviation is shown. Thus, an accurate phase map of the fringe pattern is obtained by using the WFT based on the window size map, and this map is related to the instantaneous frequency. The method is compared with the WFT based on the wavelet transform. A numerical simulation and experimental example have shown its validity in practical applications.

© 2012 Optical Society of America

OCIS Codes
(070.4560) Fourier optics and signal processing : Data processing by optical means
(070.6020) Fourier optics and signal processing : Continuous optical signal processing

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: May 7, 2012
Revised Manuscript: June 13, 2012
Manuscript Accepted: July 9, 2012
Published: August 23, 2012

Citation
F. Da and F. Dong, "Windowed Fourier transform profilometry based on improved S-transform," Opt. Lett. 37, 3561-3563 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-17-3561

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