Spatial carrier phase-shifting algorithm based on principal component analysis method

Du, Yongzhao; Feng, Guoying; Li, Hongru; Vargas, Javier; Zhou, Shouhuan

doi:10.1364/oe.20.016471

Cited by 61 publications

(27 citation statements)

References 27 publications

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“…Though this method possesses the advantages of high accuracy and good stability, but it is very time-consuming due to the least-square iteration operation. Besides, Du et al [22] proposes a principal component analysis(PCA) based SCPS method, which does not need to calibrate the phase-shifts and the carrier-frequency. Using this PCA based SCPS method, the processing time of this approach is shorter than Xu' method, but its accuracy of phase retrieval is lower than Xu's least-square iteration method.…”

Section: Introductionmentioning

confidence: 99%

Dynamic phase measurement based on spatial carrier-frequency phase-shifting method

Huang

Liu

et al. 2016

Opt. Express

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Combining spatial carrier-frequency phase-shifting (SCPS) technique and Fourier transform method, from one-frame spatial carrier-frequency interferogram (SCFI), a novel phase retrieval method is proposed and applied to dynamic phase measurement. First, using the SCPS technique, four-frame phase-shifting sub-interferograms can be constructed from one-frame SCFI. Second, using Fourier transform method, the accurate phase-shifts of four sub-interferograms can be extracted rapidly, so there is no requirement of calibration for the carrier-frequency in advance compared to most existing SCPS methods. Third, the wrapped phase can be retrieved with the least-squares algorithm through using the above phase-shifts. Finally, the phase variations of a water droplet evaporation and a Jurkat cell apoptosis induced by a drug are presented with the proposed method. Both the simulation and experimental results demonstrate that in addition to maintaining high accuracy of the SCPS method, the proposed method reveals more rapid processing speed of phase retrieval, and this will greatly facilitate its application in dynamic phase measurement.

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Section: Introductionmentioning

confidence: 99%

Dynamic phase measurement based on spatial carrier-frequency phase-shifting method

Huang

Liu

et al. 2016

Opt. Express

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“…The main drawback of this approach is that it requires high processing time [22,23]. Recently, a non-iterative spatial phase-shifting algorithm based on principal component analysis is proposed in our group [24]. It is a fast and effectively PS algorithm and it can be used to directly extract the phase from only a single spatial carrier interferogram based on the principal component analysis method [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Fast spatial carrier phase-shifting algorithm based on a constructed reference-phase

2016

Optik

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“…With them, detuning errors induced by frequency mismatching may be induced, especially when the phase map has a large deformation. Using the algorithms [29][30][31][32] based on non-linear time-invariant (LTI) systems is helpful to constrain detuning errors. In them, local frequency estimation plays the central role.…”

Section: Introductionmentioning

confidence: 99%

Local frequency estimation from intensity gradients in spatial carrier fringe pattern analysis

Zhang

Guo

2016

SPIE Proceedings

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Spatial carrier fringe pattern analysis is an effective tool in optical measurement, e.g. in interferometry and fringe projection technique. With it, the very large phase deformations in a spatial carrier fringe pattern may increases the bandwidth of fringe component thus leading to difficulties in retrieving its phase map. In order to overcome this problem, many local-adaptive methods have been developed for processing the spatial carrier fringe pattern with large phase variations, and in fact, the local spatial frequency estimation is central to these methods. This paper introduces a simple algorithm for estimating the local frequencies of a fringe pattern with spatial carrier. First, the intensity gradients of the fringe pattern are calculated, and then the standard deviations (SDs) of the intensity gradients at each pixel are estimated from its neighborhood. Finally the local frequencies are estimated from the SDs just calculated simply using an arccosine function. This algorithm is potential in developing effective techniques for retrieving phases from a spatial carrier fringe pattern with large phase variations. For example, we can recover the phase map by directly integrating the local frequencies or by use of an adaptive spatial carrier phase shifting algorithm (SCPS) with the local frequencies being the local phase shifts. It can also be used in Fourier transform method for exactly determining the carrier frequencies, or for extrapolating aperture in order to reduce the boundary effect. Combined with time-frequency techniques such as windowed Fourier transform and wavelet transform methods, it is helpful for alleviating the computational burdens.

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Spatial carrier phase-shifting algorithm based on principal component analysis method

Cited by 61 publications

References 27 publications

Dynamic phase measurement based on spatial carrier-frequency phase-shifting method

Dynamic phase measurement based on spatial carrier-frequency phase-shifting method

Fast spatial carrier phase-shifting algorithm based on a constructed reference-phase

Local frequency estimation from intensity gradients in spatial carrier fringe pattern analysis

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