Accurate and fast two-step phase shifting algorithm based on principle component analysis and Lissajous ellipse fitting with random phase shift and no pre-filtering

doi:10.1364/oe.27.020047

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	Accurate and fast two-step phase shifting algorithm based on principle component analysis and Lissajous ellipse fitting with random phase shift and no pre-filtering
	Y.Zhang; X.B.Tian; R.G.Liang
	2019
发表期刊	Optics Express
ISSN	1094-4087
卷号	27 期号:14 页码:20047-20063
摘要	To achieve high measurement accuracy with less computational time-in-phase shifting interferometry, a random phase-shifting algorithm based on principal component analysis and Lissajous ellipse fitting (PCA& LEF) is proposed.It doesn't need pre-filtering and can obtain relatively accurate phase distribution with only two phase shifted interferograms and less computational time and is suitable for different background intensity, modulation amplitude distributions and noises.Moreover, it can obtain absolutely accurate result when the background intensity and modulation amplitude are perfect and can partly suppress the effect of imperfect background intensity and modulation amplitude.Last but not least, it removes the restriction that PCA needs more than three interferograms with welldistributed phase shifts to subtract relatively accurate mean.The simulations and experiments verify the correctness and feasibility of PCA& LEF.(C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
关键词	wave-front reconstruction,iterative algorithm,interferometry,extraction,interferograms,Optics
DOI	10.1364/oe.27.020047
收录类别	SCI ; EI
语种	英语
引用统计
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/62773
专题	中国科学院长春光学精密机械与物理研究所
推荐引用方式 GB/T 7714	Y.Zhang,X.B.Tian,R.G.Liang. Accurate and fast two-step phase shifting algorithm based on principle component analysis and Lissajous ellipse fitting with random phase shift and no pre-filtering[J]. Optics Express,2019,27(14):20047-20063.
APA	Y.Zhang,X.B.Tian,&R.G.Liang.(2019).Accurate and fast two-step phase shifting algorithm based on principle component analysis and Lissajous ellipse fitting with random phase shift and no pre-filtering.Optics Express,27(14),20047-20063.
MLA	Y.Zhang,et al."Accurate and fast two-step phase shifting algorithm based on principle component analysis and Lissajous ellipse fitting with random phase shift and no pre-filtering".Optics Express 27.14(2019):20047-20063.

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