3D reconstruction of laser projective point with projection invariant generated from five points on 2D target

Abstract Vision measurement on the basis of structured light plays a significant role in the optical inspection research. The 2D target fixed with a line laser projector is designed to realize the transformations among the world coordinate system, the camera coordinate system and the image coordinat...

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Autores principales:	Guan Xu, Jing Yuan, Xiaotao Li, Jian Su
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/e58be9b620fb47e497365aa046790bdb
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spelling	oai:doaj.org-article:e58be9b620fb47e497365aa046790bdb2021-12-02T16:06:25Z3D reconstruction of laser projective point with projection invariant generated from five points on 2D target10.1038/s41598-017-07410-62045-2322https://doaj.org/article/e58be9b620fb47e497365aa046790bdb2017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-07410-6https://doaj.org/toc/2045-2322Abstract Vision measurement on the basis of structured light plays a significant role in the optical inspection research. The 2D target fixed with a line laser projector is designed to realize the transformations among the world coordinate system, the camera coordinate system and the image coordinate system. The laser projective point and five non-collinear points that are randomly selected from the target are adopted to construct a projection invariant. The closed form solutions of the 3D laser points are solved by the homogeneous linear equations generated from the projection invariants. The optimization function is created by the parameterized re-projection errors of the laser points and the target points in the image coordinate system. Furthermore, the nonlinear optimization solutions of the world coordinates of the projection points, the camera parameters and the lens distortion coefficients are contributed by minimizing the optimization function. The accuracy of the 3D reconstruction is evaluated by comparing the displacements of the reconstructed laser points with the actual displacements. The effects of the image quantity, the lens distortion and the noises are investigated in the experiments, which demonstrate that the reconstruction approach is effective to contribute the accurate test in the measurement system.Guan XuJing YuanXiaotao LiJian SuNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-13 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Guan Xu Jing Yuan Xiaotao Li Jian Su 3D reconstruction of laser projective point with projection invariant generated from five points on 2D target
description	Abstract Vision measurement on the basis of structured light plays a significant role in the optical inspection research. The 2D target fixed with a line laser projector is designed to realize the transformations among the world coordinate system, the camera coordinate system and the image coordinate system. The laser projective point and five non-collinear points that are randomly selected from the target are adopted to construct a projection invariant. The closed form solutions of the 3D laser points are solved by the homogeneous linear equations generated from the projection invariants. The optimization function is created by the parameterized re-projection errors of the laser points and the target points in the image coordinate system. Furthermore, the nonlinear optimization solutions of the world coordinates of the projection points, the camera parameters and the lens distortion coefficients are contributed by minimizing the optimization function. The accuracy of the 3D reconstruction is evaluated by comparing the displacements of the reconstructed laser points with the actual displacements. The effects of the image quantity, the lens distortion and the noises are investigated in the experiments, which demonstrate that the reconstruction approach is effective to contribute the accurate test in the measurement system.
format	article
author	Guan Xu Jing Yuan Xiaotao Li Jian Su
author_facet	Guan Xu Jing Yuan Xiaotao Li Jian Su
author_sort	Guan Xu
title	3D reconstruction of laser projective point with projection invariant generated from five points on 2D target
title_short	3D reconstruction of laser projective point with projection invariant generated from five points on 2D target
title_full	3D reconstruction of laser projective point with projection invariant generated from five points on 2D target
title_fullStr	3D reconstruction of laser projective point with projection invariant generated from five points on 2D target
title_full_unstemmed	3D reconstruction of laser projective point with projection invariant generated from five points on 2D target
title_sort	3d reconstruction of laser projective point with projection invariant generated from five points on 2d target
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/e58be9b620fb47e497365aa046790bdb
work_keys_str_mv	AT guanxu 3dreconstructionoflaserprojectivepointwithprojectioninvariantgeneratedfromfivepointson2dtarget AT jingyuan 3dreconstructionoflaserprojectivepointwithprojectioninvariantgeneratedfromfivepointson2dtarget AT xiaotaoli 3dreconstructionoflaserprojectivepointwithprojectioninvariantgeneratedfromfivepointson2dtarget AT jiansu 3dreconstructionoflaserprojectivepointwithprojectioninvariantgeneratedfromfivepointson2dtarget
_version_	1718384997390352384

3D reconstruction of laser projective point with projection invariant generated from five points on 2D target

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