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 …

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 …

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 …

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. …

Fast phase extraction of a synthetic wavelength from a dual-wavelength interferogram through Hilbert transformation

Y Xu, Y Liang, Y Zou, Q Shen, S Xue, Y Wang… - Applied Optics, 2021 - opg.optica.org
phase-shifting interferometry, a method using the Hilbert transform (HT) for fast phase retrieval
… be applied to off-axis interference fringes, not on-axis closed fringes. Because of that, the …

[PDF][PDF] Phase Error Compensation of Three-Dimensional Reconstruction Combined with Hilbert Transform.

T Zhang, J Shen, S Wu - Computers, Materials & Continua, 2021 - cdn.techscience.cn
Hilbert transform recovery is good, and there is no need to introduce auxiliary images for
processing, but in the Hilbert transform fringe … error, and ambient light interference, the extracted …

Enhanced Fourier-Hilbert-transform suppression for saturation-induced phase error in phase-shifting profilometry

Y Wan, Y Cao, M Xu, T Tang - Optics Express, 2023 - opg.optica.org
… patterns were fused by choosing the brightest but unsaturated point pixel-by-pixel for phase
retrieval. This method is easy to implement, but it is difficult to choose the exposure time so …