Optical interferometry is a powerful tool for measuring and characterizing areal surface
topography in precision manufacturing. A variety of instruments based on optical …

This paper makes use of Hilbert transform to analyze and compensate the phase error
caused by the nonlinear effect in phase shifting profilometry (PSP). The characteristics of the …

Hybrid single shot algorithm for accurate phase demodulation of complex fringe patterns is
proposed. It employs empirical mode decomposition based adaptive fringe pattern …

We propose a novel single-shot Hilbert–Huang transform-based algorithm applied to digital
holographic microscopy (DHM) for robust, fast, and accurate single-shot quantitative phase …

Gram-Schmidt orthonormalization is a very fast and efficient method for the fringe pattern
phase demodulation. It requires only two arbitrarily phase-shifted frames. Images are treated …

We introduce a fast, simple, adaptive and experimentally robust method for reconstructing
background-rejected optically-sectioned images using two-shot structured illumination …

Successful single-frame fringe pattern preprocessing comprising high-frequency noise
minimization and low-frequency background removal represents often the crucial step of the …

Gram-Schmidt (GS) orthogonal normalization is a fast and efficient two-frame fringe phase
demodulation method. However, the precision of the GS method is limited due to the …

Fringe pattern based measurement techniques are crucial both in macroscale, eg, fringe
projection profilometry, and microscale, eg, label-free quantitative phase microscopy …

This paper presents a novel method to extract the phase shift and phase distribution from
two interferograms simultaneously. By employing Hilbert–Huang transform based …