Spline based least squares integration for two-dimensional shape or wavefront reconstruction

doi:10.1016/j.optlaseng.2016.12.004

CAS OpenIR > 中科院上海应用物理研究所2011-2018年

	Spline based least squares integration for two-dimensional shape or wavefront reconstruction
	Huang, L; Xue, JP; Gao, B; Zuo, C; Idir, M
	2017
发表期刊	OPTICS AND LASERS IN ENGINEERING
ISSN	0143-8166
卷号	91 页码:221-226
文章类型	期刊论文
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.
关键词	Shape Reconstruction From Gradient Wavefront Reconstruction Splines
DOI	10.1016/j.optlaseng.2016.12.004
收录类别	SCI
语种	英语
WOS记录号	WOS:000393264300024
引用统计	被引频次：7[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.sinap.ac.cn/handle/331007/27447
专题	中科院上海应用物理研究所2011-2018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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Spline based least s（1493KB）	期刊论文	作者接受稿	开放获取	CC BY-NC-SA	请求全文