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Applied Optics

Applied Optics


  • Vol. 44, Iss. 8 — Mar. 10, 2005
  • pp: 1401–1409

Phase retrieval with a three-frame phase-shifting algorithm with an unknown phase shift

Cho Jui Tay, Chenggen Quan, and Lujie Chen  »View Author Affiliations

Applied Optics, Vol. 44, Issue 8, pp. 1401-1409 (2005)

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A three-frame phase-shifting algorithm with a constant but unknown phase shift is proposed. The algorithm is based on background-intensity removal prior to phase retrieval to eliminate an undetermined factor in a fringe pattern. The proposed method is validated on three-dimensional profilometry by fringe projection and on deformation measurement by means of digital speckle shearing interferometry. For a fringe pattern with slow-varying background intensity, the background removal is achieved in the frequency domain. For a speckle pattern, a background removal technique is integrated with the three-frame algorithm. In this process, manual intervention is minimal, and high computational speed is achieved. In addition, high-frequency phase signals would not be removed in the noise-reduction process as is the case in the bandpass-filtering technique. Accuracy of the method is discussed.

© 2005 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure

Original Manuscript: June 25, 2004
Revised Manuscript: October 18, 2004
Manuscript Accepted: October 20, 2004
Published: March 10, 2005

Cho Jui Tay, Chenggen Quan, and Lujie Chen, "Phase retrieval with a three-frame phase-shifting algorithm with an unknown phase shift," Appl. Opt. 44, 1401-1409 (2005)

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