Phase unwrapping error reduction framework for a multiple-wavelength phase-shifting algorithm
TLDR
A framework to reduce the unwrapping errors of the measurement system using a digital multiple-wavelength phase- shifting algorithm and significantly alleviated the measurement errors caused by the phase noise.Abstract:
We address a framework to reduce the unwrapping errors of the measurement system using a digital multiple-wavelength phase- shifting algorithm. In particular, the following framework is proposed: 1 smooth the raw phase by smoothing the sine and cosine images of the phase computation of the inverse tangent function; 2 locate and re- move the incorrectly unwrapped points by the monotonicity condition of the phase map; 3 obtain the unwrapped phase map for the shortest wavelength without smoothing; 4 detect holes and fill them to preserve as much useful information as possible. Experiments demonstrated that the proposed framework significantly alleviated the measurement errors caused by the phase noise. © 2009 Society of Photo-Optical Instrumentationread more
Citations
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Journal ArticleDOI
Generic saturation-induced phase-error correction algorithm for phase-measuring profilometry
Na Lv,Wei Tao,Huijun Zhao +2 more
TL;DR: In this article , a comprehensive saturation-induced phase-error correction method was proposed by combining an average-phase compensation method, applying four-step phase shifting (PS) patterns, with a phase repair method employing a total variation minimization (TVM) model.
A frequency-shifting technique for pixel-wise absolute phase retrieval
TL;DR: In this paper, a more general technique termed frequency-shifting (FS) is proposed, based on which the behavior of periodicity is eliminated and absolute phase can be retrieved pixel-wisely without any phase unwrapping.
Error reduction of the absolute phase recovered from three sets of fringe patterns with selected wavelengths
Abstract: In a recent published work we proposed a technique to recover the absolute phase maps of three sets of fringe patterns with selected wavelengths. It is demonstrated that the absolute phase maps can be unwrapped from the wrapped phase maps by the three-step phase-shifting profilometry (PSP), using only 9 fringe patterns. However, few incorrect values still remain in the recovered absolute phase. In this paper, we develop a method to correct and remove the errors in the recovered absolute phase. The experiments validate the effectiveness of our proposed method.
References
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Book
Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software
Dennis C. Ghiglia,Mark D. Pritt +1 more
TL;DR: Methods for Phase Unwrapping, Phase Data, Quality Maps, Masks, and Filters, and Minimum-Norm Methods.
Journal ArticleDOI
Temporal phase-unwrapping algorithm for automated interferogram analysis.
TL;DR: An alternative approach based on one-dimensional unwrapping along the time axis is proposed, applicable to an important subclass of interferometry applications, in which a sequence of incremental phase maps can be obtained leading up to the final phase-difference map of interest.
Two-wavelength phase-shifting interferometry (A)
Yeou-Yen Cheng,James C. Wyant +1 more
TL;DR: A technique that combines ideas of phase shifting interferometry (PSI) and two-wavelength interferometer (TWLI) to extend the phase measurement range of conventional single-wa wavelength PSI is described.
Journal ArticleDOI
Two-wavelength phase shifting interferometry.
Yeou-Yen Cheng,James C. Wyant +1 more
TL;DR: In this article, a technique that combines ideas of phase shifting interferometry (PSI) and two-wavelength interference (TWLI) to extend the phase measurement range of conventional singlewavelength PSI is described.
Journal ArticleDOI
Temporal phase unwrapping: application to surface profiling of discontinuous objects.
TL;DR: The recently proposed technique of temporal phase unwrapping has been used to analyze the phase maps from a projected-fringe phase-shifting surface profilometer, showing the error in height is shown to decrease inversely with the number of phase maps used.
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