Zernike polynomials and their applications

K Niu, C Tian - Journal of Optics, 2022 - iopscience.iop.org
The Zernike polynomials are a complete set of continuous functions orthogonal over a unit
circle. Since first developed by Zernike in 1934, they have been in widespread use in many …

[图书][B] Fringe pattern analysis for optical metrology

M Servin, JA Quiroga, JM Padilla - 2023 - Wiley Online Library
The main objective of this book is to present the basic theoretical principles behind modern
fringe-pattern analysis as applied to optical metrology. In addition to this, for the …

Advanced processing of optical fringe patterns by automated selective reconstruction and enhanced fast empirical mode decomposition

M Trusiak, M Wielgus, K Patorski - Optics and Lasers in Engineering, 2014 - Elsevier
We present a single-image, automatic, adaptive, local and fast algorithm for low quality
fringe pattern processing. Fringe pattern is first decomposed into a set of empirical modes …

Adaptive enhancement of optical fringe patterns by selective reconstruction using FABEMD algorithm and Hilbert spiral transform

M Trusiak, K Patorski, M Wielgus - Optics express, 2012 - opg.optica.org
Presented method for fringe pattern enhancement has been designed for processing and
analyzing low quality fringe patterns. It uses a modified fast and adaptive bidimensional …

Practical phase unwrapping of interferometric fringes based on unscented Kalman filter technique

Z Cheng, D Liu, Y Yang, T Ling, X Chen, L Zhang… - Optics express, 2015 - opg.optica.org
A phase unwrapping algorithm for interferometric fringes based on the unscented Kalman
filter (UKF) technique is proposed. The algorithm can bring about accurate phase …

Optical measurement techniques–A push for digitization

R Kulkarni, P Rastogi - Optics and Lasers in Engineering, 2016 - Elsevier
Over the years, optical measurement techniques have been the problem-solving backbone
of many engineering applications such as nondestructive testing of materials, measurement …

Phase retrieval in two-shot phase-shifting interferometry based on phase shift estimation in a local mask

C Tian, S Liu - Optics express, 2017 - opg.optica.org
Fringe analysis in two-shot phase-shifting interferometry is important but meets challenges
due to a limited number of images, corrupting noise, and background modulation. Here we …

Unscented information filtering phase unwrapping algorithm for interferometric fringe patterns

X Xie, G Dai - Applied Optics, 2017 - opg.optica.org
This paper proposes a new phase unwrapping (PU) algorithm based on an unscented
information filter for interferometric fringes. The proposed algorithm is the result of combining …

Improved generalized regularized phase tracker for demodulation of a single fringe pattern

L Kai, Q Kemao - Optics Express, 2013 - opg.optica.org
A generalized regularized phase tracker (GRPT) for demodulation of a single fringe pattern
was recently proposed. It is very successful for many fringe patterns. However, the GRPT …

Demodulation of two-shot fringe patterns with random phase shifts by use of orthogonal polynomials and global optimization

C Tian, S Liu - Optics Express, 2016 - opg.optica.org
We propose a simple and robust phase demodulation algorithm for two-shot fringe patterns
with random phase shifts. Based on a smoothness assumption, the phase to be recovered is …