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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
2017
Source PublicationOPTICS AND LASERS IN ENGINEERING
ISSN0143-8166
Volume91Pages:221-226
Subtype期刊论文
AbstractIn 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.
KeywordShape Reconstruction From Gradient Wavefront Reconstruction Splines
DOI10.1016/j.optlaseng.2016.12.004
Indexed BySCI
Language英语
WOS IDWOS:000393264300024
Citation statistics
Document Type期刊论文
Identifierhttp://ir.sinap.ac.cn/handle/331007/27447
Collection中科院上海应用物理研究所2011-2018年
Recommended Citation
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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