From Event: SPIE Optical Engineering + Applications, 2016
In this contribution we propose two Hilbert-Huang Transform based algorithms for fast and accurate single-shot and
two-shot quantitative phase imaging applicable in both on-axis and off-axis configurations. In the first scheme a single
fringe pattern containing information about biological phase-sample under study is adaptively pre-filtered using
empirical mode decomposition based approach. Further it is phase demodulated by the Hilbert Spiral Transform aided by
the Principal Component Analysis for the local fringe orientation estimation. Orientation calculation enables closed
fringes efficient analysis and can be avoided using arbitrary phase-shifted two-shot Gram-Schmidt Orthonormalization
scheme aided by Hilbert-Huang Transform pre-filtering. This two-shot approach is a trade-off between single-frame and
temporal phase shifting demodulation. Robustness of the proposed techniques is corroborated using experimental digital
holographic microscopy studies of polystyrene micro-beads and red blood cells. Both algorithms compare favorably with
the temporal phase shifting scheme which is used as a reference method.
Maciej Trusiak, Vicente Micó, Krzysztof Patorski, Javier García-Monreal, Lukasz Sluzewski, and Carlos Ferreira, "Single and two-shot quantitative phase imaging using Hilbert-Huang Transform based fringe pattern analysis," Proc. SPIE 9960, Interferometry XVIII, 99600D (Presented at SPIE Optical Engineering + Applications: August 31, 2016; Published: 28 August 2016); https://doi.org/10.1117/12.2236935.
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