Single-frame fringe pattern analysis using modified variational image decomposition aided by the Hilbert transform for fast full-field quantitative phase imaging

摘要

In this contribution we present a novel one-stop-shop solution providing comprehensive, robust and automatic single-frame fringe pattern analysis for quantitative phase imaging. It is based on the modified variational image decomposition (mVID) algorithm and the Hilbert spiral transform. The VID concept is applied to tailor input data for efficient Hilbert spiral transform (HST). It returns the fringe-signal which is in quadrature to the input VID-filtered zero-mean-value fringe pattern. Both fringe-signals form the 2D complex analytic fringe pattern with phase and amplitude clearly defined by angle and modulus. Additional means for mVID-based compensation of characteristic phase errors are to be provided. The performance of the proposed novel mVID-HST technique is tested on simulated and experimental data. Its versatility and data-driven nature is emphasized processing off-axis, slightly off-axis and on-axis holograms.