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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 Publication | OPTICS AND LASERS IN ENGINEERING
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ISSN | 0143-8166 |
Volume | 91Pages:221-226 |
Subtype | 期刊论文 |
Abstract | 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. |
Keyword | Shape Reconstruction From Gradient Wavefront Reconstruction Splines |
DOI | 10.1016/j.optlaseng.2016.12.004 |
Indexed By | SCI |
Language | 英语 |
WOS ID | WOS:000393264300024 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.sinap.ac.cn/handle/331007/27447 |
Collection | 中科院上海应用物理研究所2011-2020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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File Name/Size | DocType | Version | Access | License | ||
Spline based least s(1493KB) | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Application Full Text |
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