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Journal ArticleDOI

Dilating Gabor transform for the fringe analysis of 3-D shape measurement

Jingang Zhong, +1 more
- 01 Apr 2004 - 
- Vol. 43, Iss: 4, pp 895-899
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TLDR
The dilating Gabor transformation is introduced by using a changeable window of Gaussian function in a conventional Gabor transform to analyze the optical fringes of 3-D shape measurement, providing more accurate results than Fourier transform and Gabortransform.
Abstract
In order to overcome the limitations of conventional Fourier transform and Gabor transform analyzing nonstationary signals, dilating Gabor transform is applied to analyze the optical fringes of 3-D shape measurement. The dilating Gabor transformation is introduced by using a changeable window of Gaussian function in a conventional Gabor transform. This phase analysis method provides more accurate results than Fourier transform and Gabor transform. Simulation and experimental results are presented that demonstrate the validity of the principle.

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Citations
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Journal ArticleDOI

Fringe projection techniques: Whither we are?

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

Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry

TL;DR: Phase extraction methods from a single fringe pattern using different transform methods are compared using both simulations and experiments to determine the merits and limitations of each.
Journal ArticleDOI

Spatial carrier-fringe pattern analysis by means of wavelet transform: wavelet transform profilometry

TL;DR: To overcome the limitation of the Fourier transform, the Gabor wavelet is introduced to analyze the phase distributions of the spatial carrier-fringe pattern and the theory of wavelet transform profilometry is presented.
Journal ArticleDOI

Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform

TL;DR: The 2D CWT technique is capable of successfully demodulating fringe patterns without the requirement of removing their background illumination prior to the demodulation process and is exceptionally robust against speckle noise.
Journal ArticleDOI

Fringe analysis: Premise and perspectives

TL;DR: Keywords: fringe analysis Reference EPFL-ARTICLE-176959doi:10.1016/j.optlaseng.2012.04.006View record in Web of Science URL: http://www.sciencedirect.com/science/article/pii/S0143816612001182
References
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Journal ArticleDOI

Fourier transform profilometry for the automatic measurement of 3-D object shapes

Mitsuo Takeda, +1 more
- 15 Dec 1983 - 
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

Overview of three-dimensional shape measurement using optical methods

TL;DR: An overview of 3-D shape measurement using various optical methods, and a focus on structured light tech- niques where various optical configurations, image acquisition technology, data postprocessing and analysis methods and advantages and limitations are presented.
Journal ArticleDOI

Fourier transform profilometry:: a review

TL;DR: Fourier transform profilometry is one of the popular non-contact 3D measurement methods, where a Ronchi grating or sinusoidal grating is projected onto a diffuse three-dimensional surface, and the resulting deformed grating image is detected by a CCD camera and processed by a computer as discussed by the authors.
Journal ArticleDOI

Spatial-carrier fringe-pattern analysis and its applications to precision interferometry and profilometry: An overview

TL;DR: The principle of the spatial-carrier heterodyne technique is described with emphasison fringe-pattern analysis and the relationship between the two techniques is clarified.
Journal ArticleDOI

Evolutionary chirp representation of non-stationary signals via Gabor transform

TL;DR: A chirp time–frequency representation for non-stationary signals is proposed, and—via a multi-window Gabor expansion—the corresponding evolutionary spectra is associated with it.
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