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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 14, Iss. 12 — Dec. 1, 1997
  • pp: 3188–3196

Error-reduction methods for shape measurement by temporal phase unwrapping

J. M. Huntley and H. O. Saldner  »View Author Affiliations

JOSA A, Vol. 14, Issue 12, pp. 3188-3196 (1997)

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Temporal phase unwrapping is a method of analyzing fringe patterns in which the fringe phase Φ at each pixel is measured and unwrapped as a function of time t. We propose two methods for improving the signal-to-noise ratio of the total phase change by incorporating data from the intermediate phase values. The first involves fitting the expected curve to the measured phase history; the second involves Fourier transformation of the corresponding phasors. The performance of these methods is compared both experimentally, with data from a fringe projector based on a spatial-light modulator, and numerically. It is shown that the optimum performance is given by the Fourier transform method. The best way to use the first method is with Φ decreasing exponentially with time from its maximum value to zero; this provides significant improvements in reliability, accuracy, and computation time compared with the original temporal unwrapping algorithm.

© 1997 Optical Society of America

Original Manuscript: February 14, 1997
Revised Manuscript: June 23, 1997
Manuscript Accepted: June 23, 1997
Published: December 1, 1997

J. M. Huntley and H. O. Saldner, "Error-reduction methods for shape measurement by temporal phase unwrapping," J. Opt. Soc. Am. A 14, 3188-3196 (1997)

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