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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 51, Iss. 12 — Apr. 20, 2012
  • pp: 2026–2034

Two-dimensional wavelet transform for reliability-guided phase unwrapping in optical fringe pattern analysis

Sikun Li, Xiangzhao Wang, Xianyu Su, and Feng Tang  »View Author Affiliations


Applied Optics, Vol. 51, Issue 12, pp. 2026-2034 (2012)
http://dx.doi.org/10.1364/AO.51.002026


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Abstract

This paper theoretically discusses modulus of two-dimensional (2D) wavelet transform (WT) coefficients, calculated by using two frequently used 2D daughter wavelet definitions, in an optical fringe pattern analysis. The discussion shows that neither is good enough to represent the reliability of the phase data. The differences between the two frequently used 2D daughter wavelet definitions in the performance of 2D WT also are discussed. We propose a new 2D daughter wavelet definition for reliability-guided phase unwrapping of optical fringe pattern. The modulus of the advanced 2D WT coefficients, obtained by using a daughter wavelet under this new daughter wavelet definition, includes not only modulation information but also local frequency information of the deformed fringe pattern. Therefore, it can be treated as a good parameter that represents the reliability of the retrieved phase data. Computer simulation and experimentation show the validity of the proposed method.

© 2012 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(100.7410) Image processing : Wavelets
(100.5088) Image processing : Phase unwrapping

ToC Category:
Image Processing

History
Original Manuscript: October 20, 2011
Revised Manuscript: January 3, 2012
Manuscript Accepted: January 4, 2012
Published: April 16, 2012

Citation
Sikun Li, Xiangzhao Wang, Xianyu Su, and Feng Tang, "Two-dimensional wavelet transform for reliability-guided phase unwrapping in optical fringe pattern analysis," Appl. Opt. 51, 2026-2034 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-12-2026


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