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21 August 2020 A comprehensive review of the principal component analysis applied to the demodulation of phase-shifting interferograms
Julio C. Estrada, Marco A. Escobar, Javier Vargas
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Proceedings Volume 11490, Interferometry XX; 1149003 (2020) https://doi.org/10.1117/12.2568580
Event: SPIE Optical Engineering + Applications, 2020, Online Only
Abstract
The use of the Principal Components Analysis (PCA) for recovering the modulating phase, given a sequence of Phase-Shifted Interferograms (PSI), is a very important contribution to the field. However, its verbatim translation from statistics to PSI has limited the view to consider only constant background illuminations. Here, we show that the Singular Value Decomposition (SVD), used in PCA, actually separates the background illumination (constant or not) and the phase modulation terms. We show that the modulating phase can be correctly recovered if the phase-shifts sample full periods uniformly, independently of the spatial distribution of the number of fringes.
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Julio C. Estrada, Marco A. Escobar, and Javier Vargas "A comprehensive review of the principal component analysis applied to the demodulation of phase-shifting interferograms", Proc. SPIE 11490, Interferometry XX, 1149003 (21 August 2020); https://doi.org/10.1117/12.2568580
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KEYWORDS
Principal component analysis
Phase shifts
Demodulation
Interferometry
Fringe analysis
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