An Algorithm for Fitting Sphere Target of Terrestrial LiDAR

The sphere target played a vital role in terrestrial LiDAR applications, and solving its geometrical center based on point cloud was a widely concerned problem. In this study, we proposed a newly finite random search algorithm for sphere target fitting. Based on the point cloud data and the geometri...

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Autores principales: Yintao Shi, Gang Zhao, Maomei Wang, Yi Xu, Dadong Zhu
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/3d69b9d47d3b42cabcf05ea104f5986f
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spelling oai:doaj.org-article:3d69b9d47d3b42cabcf05ea104f5986f2021-11-25T18:57:22ZAn Algorithm for Fitting Sphere Target of Terrestrial LiDAR10.3390/s212275461424-8220https://doaj.org/article/3d69b9d47d3b42cabcf05ea104f5986f2021-11-01T00:00:00Zhttps://www.mdpi.com/1424-8220/21/22/7546https://doaj.org/toc/1424-8220The sphere target played a vital role in terrestrial LiDAR applications, and solving its geometrical center based on point cloud was a widely concerned problem. In this study, we proposed a newly finite random search algorithm for sphere target fitting. Based on the point cloud data and the geometric characteristics of the sphere target, the algorithm realized the target sphere fitting from the perspective of probability and statistics with the help of parameter estimation. Firstly, an initial constraint space was constructed, and the initial center and radius were determined by finite random search. Then, the optimal spherical center and radius were determined gradually through continuous iterative optimization. We tested the algorithm with the simulated and realistic point cloud. Experimental results showed that the proposed algorithm could be effectively applied to all kinds of point cloud fitting. When the coverage rate was bigger than 30%, the fitting accuracy could reach within 0.01 mm for all kinds of point clouds. When the coverage rate was less than 20%, the fitting accuracy can reach ±1 mm, although it was reduced to a certain extent.Yintao ShiGang ZhaoMaomei WangYi XuDadong ZhuMDPI AGarticlelight detection and rangingpoint cloudsphere targetconstraint spaceparametersrobustnessChemical technologyTP1-1185ENSensors, Vol 21, Iss 7546, p 7546 (2021)
institution DOAJ
collection DOAJ
language EN
topic light detection and ranging
point cloud
sphere target
constraint space
parameters
robustness
Chemical technology
TP1-1185
spellingShingle light detection and ranging
point cloud
sphere target
constraint space
parameters
robustness
Chemical technology
TP1-1185
Yintao Shi
Gang Zhao
Maomei Wang
Yi Xu
Dadong Zhu
An Algorithm for Fitting Sphere Target of Terrestrial LiDAR
description The sphere target played a vital role in terrestrial LiDAR applications, and solving its geometrical center based on point cloud was a widely concerned problem. In this study, we proposed a newly finite random search algorithm for sphere target fitting. Based on the point cloud data and the geometric characteristics of the sphere target, the algorithm realized the target sphere fitting from the perspective of probability and statistics with the help of parameter estimation. Firstly, an initial constraint space was constructed, and the initial center and radius were determined by finite random search. Then, the optimal spherical center and radius were determined gradually through continuous iterative optimization. We tested the algorithm with the simulated and realistic point cloud. Experimental results showed that the proposed algorithm could be effectively applied to all kinds of point cloud fitting. When the coverage rate was bigger than 30%, the fitting accuracy could reach within 0.01 mm for all kinds of point clouds. When the coverage rate was less than 20%, the fitting accuracy can reach ±1 mm, although it was reduced to a certain extent.
format article
author Yintao Shi
Gang Zhao
Maomei Wang
Yi Xu
Dadong Zhu
author_facet Yintao Shi
Gang Zhao
Maomei Wang
Yi Xu
Dadong Zhu
author_sort Yintao Shi
title An Algorithm for Fitting Sphere Target of Terrestrial LiDAR
title_short An Algorithm for Fitting Sphere Target of Terrestrial LiDAR
title_full An Algorithm for Fitting Sphere Target of Terrestrial LiDAR
title_fullStr An Algorithm for Fitting Sphere Target of Terrestrial LiDAR
title_full_unstemmed An Algorithm for Fitting Sphere Target of Terrestrial LiDAR
title_sort algorithm for fitting sphere target of terrestrial lidar
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/3d69b9d47d3b42cabcf05ea104f5986f
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