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
ISSN0143-8166
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
DOI10.1016/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
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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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