Journal ArticleDOI
Multiscale windowed Fourier transform for phase extraction of fringe patterns
Jingang Zhong,Huiping Zeng +1 more
TLDR
The numerical simulation and experiment have proved the validity of the multiscale windowed Fourier transform for phase extraction of fringe patterns and makes the extracted phase more precise than other methods.Abstract:
A multiscale windowed Fourier transform for phase extraction of fringe patterns is presented. A local stationary length of signal is used to control the window width of a windowed Fourier transform automatically, which is measured by an instantaneous frequency gradient. The instantaneous frequency of the fringe pattern is obtained by detecting the ridge of the wavelet transform. The numerical simulation and experiment have proved the validity of this method. The combination of the windowed Fourier transform and the wavelet transform makes the extracted phase more precise than other methods.read more
Citations
More filters
Journal ArticleDOI
Fringe projection techniques: Whither we are?
Sai Siva Gorthi,Pramod Rastogi +1 more
TL;DR: This paper presents a meta-analyses of Fourier-Transform Profilometry and its applications in 3-D Shape Measurement and Surface Profile Measurement for Structured Light Pattern and 4-Core Optical-Fiber.
Journal ArticleDOI
Review of single-shot 3D shape measurement by phase calculation-based fringe projection techniques
TL;DR: The single-shot 3D shape measurement techniques by projecting and capturing one fringe pattern image on the object surface, the wrapped phase demodulation algorithms from one captured image are reviewed.
Journal ArticleDOI
Windowed Fourier transform for fringe pattern analysis: theoretical analyses.
TL;DR: Local frequency and phase extraction errors by the WFR and WFF algorithms are analyzed and an unbiased estimation with very low standard deviation is achievable for local frequencies and phase distributions through windowed Fourier transforms.
Journal ArticleDOI
Status, challenges, and future perspectives of fringe projection profilometry
Jing Xu,Song Zhang +1 more
TL;DR: The current status of FPP techniques, the major challenges still facing in the field, and the perspectives on the future of F PP techniques are presented.
Journal ArticleDOI
Time-Frequency Representation Based on an Adaptive Short-Time Fourier Transform
Jingang Zhong,Yu Huang +1 more
TL;DR: A new concise algorithm about time-frequency representation (TFR) based on an adaptive short-time Fourier transform (ASTFT) is presented, which provides much better performance and is simpler and more computational efficient than some of other adaptive TFR algorithms proposed previously.
References
More filters
Journal ArticleDOI
Localization of the complex spectrum: the S transform
TL;DR: The S transform is shown to have some desirable characteristics that are absent in the continuous wavelet transform, and provides frequency-dependent resolution while maintaining a direct relationship with the Fourier spectrum.
Journal Article
Localisation of the complex spectrum : The S transform
TL;DR: The S transform as discussed by the authors is an extension to the ideas of the Gabor transform and the Wavelet transform, based on a moving and scalable localising Gaussian window and is shown here to have characteristics that are superior to either of the transforms.
Journal ArticleDOI
Fourier transform profilometry for the automatic measurement of 3-D object shapes
Mitsuo Takeda,Kazuhiro Mutoh +1 more
TL;DR: A new computer-based technique for automatic 3-D shape measurement is proposed and verified by experiments that has a much higher sensitivity than the conventional moire technique and is capable of fully automatic distinction between a depression and an elevation on the object surface.
Journal ArticleDOI
Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies
N. Delprat,Bernard Escudié,Philippe Guillemain,Richard Kronland-Martinet,P. Tchamitchian,Bruno Torrésani +5 more
TL;DR: The behavior of the continuous wavelet and Gabor coefficients in the asymptotic limit using stationary phase approximations are investigated and it is shown how, under some additional assumptions, these coefficients allow the extraction of some characteristics of the analyzed signal, such as frequency and amplitude modulation laws.
Journal ArticleDOI
Windowed Fourier transform for fringe pattern analysis
TL;DR: Two approaches are developed on the extraction of phase and phase derivatives from either phase-shifted fringe patterns or a single carrier fringe pattern based on the best match between the fringe pattern and computer-generated windowed exponential elements.
Related Papers (5)
Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations
Fourier transform profilometry for the automatic measurement of 3-D object shapes
Mitsuo Takeda,Kazuhiro Mutoh +1 more