Journal ArticleDOI
Fast phase recovery from a single closed-fringe pattern
TLDR
A new framework for phase recovery from a single fringe pattern with closed fringes is proposed, which reduces the closed-fringe-analysis problem to that of choosing the better phase between the two oriented computed phases and then of estimating the local sign.Abstract:
A new framework for phase recovery from a single fringe pattern with closed fringes is proposed. Our algorithm constructs an unwrapped phase from previously computed phases with a simple open-fringe-analysis algorithm, twice applied for analyzing horizontal and vertical oriented fringes, respectively. That reduces the closed-fringe-analysis problem to that of choosing the better phase between the two oriented computed phases and then of estimating the local sign. By propagating the phase sign [and a tilewise constant (DC) term] by regions [here named tiles] instead of a pixelwise phase propagation, our analysis of closed-fringe patterns becomes more robust and faster. Additionally, we propose a multigrid refinement for improving the final computed phase.read more
Citations
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Journal Article
Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry
TL;DR: In this article, a fast Fourier transform method of topography and interferometry is proposed to discriminate between elevation and depression of the object or wave-front form, which has not been possible by the fringe-contour generation techniques.
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
Journal ArticleDOI
Frequency guided methods for demodulation of a single fringe pattern
Haixia Wang,Qian Kemao +1 more
TL;DR: A frequency- guided regularized phase tracker and a frequency-guided sequential demodulation method with Levenberg-Marquardt optimization are proposed to demodulate a single fringe pattern.
Journal ArticleDOI
Single shot fringe pattern phase demodulation using Hilbert-Huang transform aided by the principal component analysis
TL;DR: Hybrid single shot algorithm for accurate phase demodulation of complex fringe patterns is proposed and compares favorably with other previously reported techniques.
Journal ArticleDOI
A generalized regularized phase tracker for demodulation of a single fringe pattern
Li Kai,Qian Kemao +1 more
TL;DR: The generalized regularized phase tracker (GRPT) can directly demodulate a single fringe pattern without any pre-processing and post- processing and successfully get rid of the problem of the sensitivity to critical points.
References
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Journal Article
Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry
TL;DR: In this article, a fast Fourier transform method of topography and interferometry is proposed to discriminate between elevation and depression of the object or wave-front form, which has not been possible by the fringe-contour generation techniques.
Journal ArticleDOI
Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry
TL;DR: In this paper, a fast Fourier transform method of topography and interferometry is proposed to discriminate between elevation and depression of the object or wave-front form, which has not been possible by the fringe-contour generation techniques.
Book ChapterDOI
Scale-space filtering
TL;DR: Scale-space filtering is a method that describes signals qualitatively, managing the ambiguity of scale in an organized and natural way.
Journal ArticleDOI
The structure of images
TL;DR: It is shown that any image can be embedded in a one-parameter family of derived images (with resolution as the parameter) in essentially only one unique way if the constraint that no spurious detail should be generated when the resolution is diminished, is applied.
Book
A multigrid tutorial
TL;DR: This paper presents an implementation of Multilevel adaptive methods for Algebraic multigrid (AMG), a version of which has already been described in more detail in the preface.