  Retrieving object phase from the optical fringe pattern is a critical task in
quantitative phase imaging and often requires appropriate image preprocessing
(background and noise minimization), especially when retrieving phase from the
single-shot fringe pattern image. In this article, for the first time, we
propose to adapt the 2D Fast Iterative Filtering (FIF) method for fringe
pattern decomposition and develop a novel version of FIF called the 2D fringe
pattern Fast Iterative Filtering (fpFIF2), that is tailored for fringe pattern
preprocessing. We show the positive influence of fpFIF2 onto fringe pattern
filtering comparing to the previous 2D FIF implementation regarding processing
speed, quality, and usage comfortability. We also compare the fpFIF2 with other
state-of-the-art fringe pattern filtering methods in terms of aiding the
Hilbert spiral transform method in phase retrieval. Employing numerical
simulations and experimental fringe analysis, we prove that fpFIF2 outperforms
reference methods, especially in terms of low-fringe-contrast phase
reconstruction quality and decomposition time.
