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Optics Letters

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  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 13 — Jul. 1, 2006
  • pp: 1966–1968

Fast blind extraction of arbitrary unknown phase shifts by an iterative tangent approach in generalized phase-shifting interferometry

X. F. Xu, L. Z. Cai, X. F. Meng, G. Y. Dong, and X. X. Shen  »View Author Affiliations


Optics Letters, Vol. 31, Issue 13, pp. 1966-1968 (2006)
http://dx.doi.org/10.1364/OL.31.001966


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Abstract

A novel fast convergent algorithm to extract arbitrary unknown phase shifts in generalized phase-shifting interferometry (PSI) is proposed and verified by a series of computer simulations. In this algorithm an error function is introduced and then the unknown phase shifts are found by an iterative tangent approach. In combination with the statistical method, this algorithm can give the most exact results in the fewest iteration steps. It can be used for generalized PSI of arbitrary frames for both smooth and diffusing objects and can usually reach the exact phase shifts with only four or five iterations for three- or four-frame PSI.

© 2006 Optical Society of America

OCIS Codes
(090.2880) Holography : Holographic interferometry
(100.2000) Image processing : Digital image processing
(100.3010) Image processing : Image reconstruction techniques
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Image Processing

History
Original Manuscript: March 15, 2006
Manuscript Accepted: April 13, 2006

Citation
X. F. Xu, L. Z. Cai, X. F. Meng, G. Y. Dong, and X. X. Shen, "Fast blind extraction of arbitrary unknown phase shifts by an iterative tangent approach in generalized phase-shifting interferometry," Opt. Lett. 31, 1966-1968 (2006)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-31-13-1966


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