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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 29 — Oct. 10, 2008
  • pp: 5420–5428

Windowed Fourier-filtered and quality-guided phase-unwrapping algorithm

Qian Kemao, Wenjing Gao, and Haixia Wang  »View Author Affiliations


Applied Optics, Vol. 47, Issue 29, pp. 5420-5428 (2008)
http://dx.doi.org/10.1364/AO.47.005420


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Abstract

We propose a windowed Fourier-filtered and quality-guided phase-unwrapping algorithm that is an extension and improvement of our previous phase-unwrapping algorithm based on windowed Fourier transform [ Opt. Laser Technol. 37, 458 (2005), Key Eng. Mater. 326–328, 67 (2006)]. First, the filtered amplitude is used as a real-valued quality map, rather than a binary mask, which makes the phase- unwrapping algorithm more tolerant to low-quality regions in a wrapped-phase map, and the process is more automatic. Second, the window size selection is considered, which enables the algorithm to be adapted to tackle different phase-unwrapping problems. A large window size is useful for removing noise, building long barriers along phase discontinuities, and identifying invalid regions, while a small window size is useful for preserving local features, such as small regions and high-quality narrow channels. Eight typical examples in Ghiglia and Pritt’s excellent book Two-Dimensional Phase Unwrapping: Theory, Algorithm and Software (Wiley, 1998) are used to evaluate the proposed algorithm. The proposed algorithm is able to unwrap all these examples successfully. The windowed Fourier ridges algorithm, another algorithm based on windowed Fourier transform, is also tested and found to be useful in building barriers along phase discontinuities.

© 2008 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(100.7410) Image processing : Wavelets
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(110.5086) Imaging systems : Phase unwrapping
(100.5088) Image processing : Phase unwrapping

ToC Category:
Image Processing

History
Original Manuscript: June 27, 2008
Revised Manuscript: August 23, 2008
Manuscript Accepted: August 23, 2008
Published: October 8, 2008

Citation
Qian Kemao, Wenjing Gao, and Haixia Wang, "Windowed Fourier-filtered and quality-guided phase-unwrapping algorithm," Appl. Opt. 47, 5420-5428 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-29-5420


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References

  1. D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithm and Software (Wiley, 1998).
  2. H. A. Aebischer and S. Waldner, “A simple and effective method for filtering speckle-interferometric phase fringe patterns,” Opt. Commun. 162, 205-210 (1999). [CrossRef]
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  15. K. Qian, S. H. Soon, “Two-dimensional windowed Fourier frames for noise reduction in fringe pattern analysis,” Opt. Eng. 44, 075601 (2005). [CrossRef]
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