Improvement of least-squares integration method with iterative compensations in fringe reflectometry

Least-squares integration is one of the most effective and widely used methods for shape reconstruction from gradient data, which result from gradient measurement techniques. However, its reconstruction accuracy is limited due to the imperfection of the Southwell grid model, which is commonly applie...

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Main Authors: Huang, Lei, Asundi, Anand Krishna
Other Authors: School of Mechanical and Aerospace Engineering
Format: Journal Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/95887
http://hdl.handle.net/10220/10877
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author Huang, Lei
Asundi, Anand Krishna
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Huang, Lei
Asundi, Anand Krishna
author_sort Huang, Lei
collection NTU
description Least-squares integration is one of the most effective and widely used methods for shape reconstruction from gradient data, which result from gradient measurement techniques. However, its reconstruction accuracy is limited due to the imperfection of the Southwell grid model, which is commonly applied in the least-squares integration method. An operation with iterative compensations is therefore proposed, especially for the traditional least-squares integration method, to improve its integration accuracy. Simulation and experiment are carried out to verify the feasibility and superiority of the proposed operation. This compensatory operation with iterations is suggested, and its good performance on integration accuracy improvement is shown.
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spelling ntu-10356/958872023-03-04T17:18:44Z Improvement of least-squares integration method with iterative compensations in fringe reflectometry Huang, Lei Asundi, Anand Krishna School of Mechanical and Aerospace Engineering Least-squares integration is one of the most effective and widely used methods for shape reconstruction from gradient data, which result from gradient measurement techniques. However, its reconstruction accuracy is limited due to the imperfection of the Southwell grid model, which is commonly applied in the least-squares integration method. An operation with iterative compensations is therefore proposed, especially for the traditional least-squares integration method, to improve its integration accuracy. Simulation and experiment are carried out to verify the feasibility and superiority of the proposed operation. This compensatory operation with iterations is suggested, and its good performance on integration accuracy improvement is shown. Published version 2013-07-02T02:53:11Z 2019-12-06T19:22:53Z 2013-07-02T02:53:11Z 2019-12-06T19:22:53Z 2012 2012 Journal Article Huang, L., & Asundi, A. K. (2012). Improvement of least-squares integration method with iterative compensations in fringe reflectometry. Applied optics, 51(31), 7459-7465. https://hdl.handle.net/10356/95887 http://hdl.handle.net/10220/10877 10.1364/AO.51.007459 en Applied optics © 2012 Optical Society of America. This paper was published in Applied Optics and is made available as an electronic reprint (preprint) with permission of Optical Society of America. The paper can be found at the following official DOI: [tp://dx.doi.org/10.1364/AO.51.007459]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. application/pdf
spellingShingle Huang, Lei
Asundi, Anand Krishna
Improvement of least-squares integration method with iterative compensations in fringe reflectometry
title Improvement of least-squares integration method with iterative compensations in fringe reflectometry
title_full Improvement of least-squares integration method with iterative compensations in fringe reflectometry
title_fullStr Improvement of least-squares integration method with iterative compensations in fringe reflectometry
title_full_unstemmed Improvement of least-squares integration method with iterative compensations in fringe reflectometry
title_short Improvement of least-squares integration method with iterative compensations in fringe reflectometry
title_sort improvement of least squares integration method with iterative compensations in fringe reflectometry
url https://hdl.handle.net/10356/95887
http://hdl.handle.net/10220/10877
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