Under-sampled phase retrieval of single interference fringe based on hilbert transform

Y Guo, S Jing, L Wei - IEEE Access, 2019 - ieeexplore.ieee.org
… We start by the theoretical analysis in section II, which includes the principle of phase
retrieval from single interference fringe pattern based on Hilbert Transform and the proposed …

Quantitative interferometric microscopy with two dimensional Hilbert transform based phase retrieval method

S Wang, K Yan, L Xue - Optics Communications, 2017 - Elsevier
… illumination and weak scattering samples in measurements, θ(x,y) indicates wavefronts
induced by both phase distortions and tilting off-axis interference, and φ(x,y) is the sample …

Radial Hilbert transform for phase retrieval using two-wavelength three-frame phase-shifting interferometry

Y Xu, Q Shen, W Jin, G Peng, L Chen, Y Wang… - Optics and Lasers in …, 2020 - Elsevier
… The aforementioned methods are more efficient, but they rely on the special phase shifts
to separate the interference information of a single wavelength. To avoid the use of special …

Implementation of hilbert transform based high-resolution phase unwrapping method for displacement retrieval using laser self mixing interferometry sensor

S Amin - Optics & Laser Technology, 2022 - Elsevier
… [24] proposed a highly accurate method known as the phase … The first processing step is
rough phase retrieval, and 2nd … SMI signal fringes due to constructive/destructive interference of …

Modified variational image decomposition algorithm aided by the Hilbert transform as an alternative to 2D Hilbert-Huang transform for fringe pattern phase retrieval

M Cywińska, M Trusiak, K Patorski… - Speckle 2018: VII …, 2018 - spiedigitallibrary.org
… spiral transform 4 (HST). There are a few restrictions for the Hilbert transform input signal:
zero … achieved by interference, eg, digital holographic microscopy, interference microscopy. …

Few-fringe-based phase-shifting profilometry employing Hilbert transform

P Xu, J Liu, W Zhang, S Shan, J Wang, M Shao… - Precision …, 2023 - Elsevier
… acousto-optical deflector can make the Fizeau interference fringes move at a rate of 20 kHz.
… by using our proposed Hilbert transform-based phase retrieval method to find the wrapped …

A comparative evaluation of 2-D Hilbert transforms and 2-D continuous wavelet transforms for robust phase extraction in complex fringe patterns

J Singh, D Haridas, A Bhowmick, RP Sugavaneshwar - Optical Review, 2023 - Springer
… the interference fringe pattern with higher noise levels similar to the Hilbert transform methods.
… algorithms also incorporate capabilities for absolute phase recovery and temporal phase

Phase-unwrapping algorithm combined with wavelet transform and Hilbert transform in self-mixing interference for individual microscale particle detection

Y Zhao, J Li, M Zhang, Y Zhao, J Zou… - Chinese Optics Letters, 2023 - opg.optica.org
phase variation on particle size is investigated. Second, for effective noise elimination and
phase retrieval, continuous wavelet transform (… for extra signal interference fringes. Compared …

Eliminating zero spectra in Fourier transform profilometry by application of Hilbert transform

F Luo, W Chen, X Su - Optics Communications, 2016 - Elsevier
Hilbert transform has the features of inducing a phase shifting … based on the piecewise Hilbert
transform to suppress the … high orders spectra component interfere the useful fundamental …

Two-shot fringe pattern phase demodulation using the extreme value of interference with Hilbert-Huang per-filtering

H Zhang, H Zhao, J Zhao, Z Zhao… - … Systems for Industrial …, 2019 - spiedigitallibrary.org
… , this paper proposes to combine the Hilbert-Huang transform (HHT) pre-filtering method with
… complex fringes, the HHT-EVI algorithm can guarantee excellent phase retrieval accuracy. …