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Applied Optics

Applied Optics


  • Vol. 44, Iss. 23 — Aug. 10, 2005
  • pp: 4854–4859

Least-squares algorithm for phase-stepping interferometry with an unknown relative step

Hongwei Guo and Mingyi Chen  »View Author Affiliations

Applied Optics, Vol. 44, Issue 23, pp. 4854-4859 (2005)

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A pointwise least-squares phase-stepping algorithm with an unknown relative phase step is proposed. In phase-stepping interferometry the recorded temporal intensity sequence is a discrete sinusoidal signal biased by a direct-current component. Its value at a certain time can be predicted from its three past samples by use of a recursive formula. Based on this linear prediction property, an unbiased least-squares estimator is deduced to determine the relative phase step from a sequence of intensity values, and the result is used to evaluate the phase value. The validity and performance of this algorithm are verified by computer simulations.

© 2005 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

Original Manuscript: November 29, 2004
Revised Manuscript: February 11, 2005
Manuscript Accepted: March 21, 2005
Published: August 10, 2005

Hongwei Guo and Mingyi Chen, "Least-squares algorithm for phase-stepping interferometry with an unknown relative step," Appl. Opt. 44, 4854-4859 (2005)

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