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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 3 — Feb. 1, 2013
  • pp: 275–277

Variational image decomposition for automatic background and noise removal of fringe patterns

Xinjun Zhu, Zhanqing Chen, and Chen Tang  »View Author Affiliations

Optics Letters, Vol. 38, Issue 3, pp. 275-277 (2013)

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In optical metrology, state of the art algorithms for background and noise removal of fringe patterns are based on space-frequency analysis. In this Letter, an approach based on variational image decomposition is proposed to remove background and noise from a fringe pattern simultaneously. In the proposed method, a fringe image is directly decomposed into three components: a first one containing background, a second one fringes, and a third one noise, which are described in different function spaces and are solved by minimization of the functional. A simple technical process involved in the minimization algorithm improves the convergence performance. The proposed approach is verified with the simulated and experimental fringe patterns.

© 2013 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.5060) Instrumentation, measurement, and metrology : Phase modulation

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: November 26, 2012
Revised Manuscript: December 17, 2012
Manuscript Accepted: December 17, 2012
Published: January 16, 2013

Xinjun Zhu, Zhanqing Chen, and Chen Tang, "Variational image decomposition for automatic background and noise removal of fringe patterns," Opt. Lett. 38, 275-277 (2013)

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  1. M. Takeda and K. Mutoh, Appl. Opt. 22, 3977 (1983). [CrossRef]
  2. Q. Kemao, Appl. Opt. 43, 2695 (2004). [CrossRef]
  3. J. Zhong and J. Weng, Opt. Eng. 43, 895 (2004). [CrossRef]
  4. J. Zhong and J. Weng, Opt. Lett. 30, 2560 (2005). [CrossRef]
  5. M. Bernini, G. Galizzi, A. Federico, and G. Kaufmann, Opt. Lasers Eng. 45, 723 (2007). [CrossRef]
  6. X. Zhou, T. Yang, H. Zou, and H. Zhao, Opt. Lett. 37, 1904 (2012). [CrossRef]
  7. X. Zhou, A. Podoleanu, Z. Yang, T. Yang, and H. Zhao, Opt. Express 20, 24247 (2012). [CrossRef]
  8. Y. Meyer, Oscillating Patterns in Image Processing and Nonlinear Evolution Equations (AMS, 2001).
  9. J. Aujol and A. Chambolle, Int. J. Comput. Vis. 63, 85 (2005). [CrossRef]
  10. P. Maurel, J. Aujol, and G. Peyre, SIAM J. Imaging Sci. 4, 413 (2011). [CrossRef]

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