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	Spline based least squares integration for two-dimensional shape or wavefront reconstruction
	Huang, L; Xue, JP; Gao, B; Zuo, C; Idir, M
刊名	OPTICS AND LASERS IN ENGINEERING
	2017
卷号	91页码:221-226
关键词	Shape Reconstruction From Gradient Wavefront Reconstruction Splines
ISSN号	0143-8166
DOI	10.1016/j.optlaseng.2016.12.004
文献子类	期刊论文
英文摘要	In this work, we present a novel method to handle two-dimensional shape or wavefront reconstruction from its slopes. The proposed integration method employs splines to fit the measured slope data with piecewise polynomials and uses the analytical polynomial functions to represent the height changes in a lateral spacing with the pre-determined spline coefficients. The linear least squares method is applied to estimate the height or wavefront as a final result. Numerical simulations verify that the proposed method has less algorithm errors than two other existing methods used for comparison. Especially at the boundaries, the proposed method has better performance. The noise influence is studied by adding white Gaussian noise to the slope data. Experimental data from phase measuring deflectometry are tested to demonstrate the feasibility of the new method in a practical measurement.
语种	英语
WOS记录号	WOS:000393264300024
内容类型	期刊论文
源URL	[http://ir.sinap.ac.cn/handle/331007/27447]
专题	上海应用物理研究所_中科院上海应用物理研究所2011-2017年
推荐引用方式 GB/T 7714	Huang, L,Xue, JP,Gao, B,et al. Spline based least squares integration for two-dimensional shape or wavefront reconstruction[J]. OPTICS AND LASERS IN ENGINEERING,2017,91:221-226.
APA	Huang, L,Xue, JP,Gao, B,Zuo, C,&Idir, M.(2017).Spline based least squares integration for two-dimensional shape or wavefront reconstruction.OPTICS AND LASERS IN ENGINEERING,91,221-226.
MLA	Huang, L,et al."Spline based least squares integration for two-dimensional shape or wavefront reconstruction".OPTICS AND LASERS IN ENGINEERING 91(2017):221-226.

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