Evaluation of single-shot and two-shot fringe pattern phase demodulation algorithms aided by the Hilbert-Huang transform

Maciej Trusiak , Krzysztof Patorski , Łukasz Służewski , Zofia Sunderland

Abstract

In this contribution we evaluate single and two-shot techniques, namely the Hilbert spiral transform (HST) and the Gram-Schmidt orthonormalization (GSO) in terms of phase demodulation accuracy in the complex fringe patterns analysis (i.e., with strong background/contrast variations, severe noise, considerable local gradients of fringe shape/orientation). Both methods are aided by the novel Hilbert-Huang transform (HHT) processing to adaptively reduce demodulation errors. The HST utilizes a spiral phase function and a spatial fringe orientation map to demodulate phase of complex fringes. It is especially susceptible to uneven bias term and noise. The HHT method realizes bias/noise suppression adaptively with outstanding accuracy. The GSO is a fast two-shot fringe-shape-robust phase demodulation scheme. It treats two arbitrarily phase shifted interferograms as vectors and conducts orthogonal projection of one vector onto another. The GSO is susceptible to background, contrast and noise fluctuations, however. The HHT method is perfectly suitable to perform efficient pre-filtering. Both methods (HHT-HST and HHT-GSO) are proven versatile and robust to fringe pattern defects using simulation and experiment.
Author Maciej Trusiak IMiF
Maciej Trusiak,,
- The Institute of Micromechanics and Photonics
, Krzysztof Patorski IMiF
Krzysztof Patorski,,
- The Institute of Micromechanics and Photonics
, Łukasz Służewski
Łukasz Służewski,,
-
, Zofia Sunderland IMiF
Zofia Sunderland,,
- The Institute of Micromechanics and Photonics
Pages98900V-1 - 98900V-10
Publication size in sheets0.5
Book Gorecki Christophe, Asundi Anand K., Osten Wolfgang: Volume 9890 Optical Micro- and Nanometrology VI, 2016, SPIE, [0277-786X]
Keywords in EnglishFringe analysis, Hilbert spiral transform, Hilbert-Huang transform, Gram-Schmidt orthonormalization, phase demodulation
DOIDOI:10.1117/12.2228350
URL http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2518793
Languageen angielski
Score (nominal)15
Citation count*0 (2016-09-12)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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