A General Point-Based Method for Self-Calibration of Terrestrial Laser Scanners Considering Stochastic Information

Due to the existence of environmental or human factors, and because of the instrument itself, there are many uncertainties in point clouds, which directly affect the data quality and the accuracy of subsequent processing, such as point cloud segmentation, 3D modeling, etc. In this paper, to address...

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Main Authors: Tengfei Zhou, Xiaojun Cheng, Peng Lin, Zhenlun Wu, Ensheng Liu
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/12/18/2923
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author Tengfei Zhou
Xiaojun Cheng
Peng Lin
Zhenlun Wu
Ensheng Liu
author_facet Tengfei Zhou
Xiaojun Cheng
Peng Lin
Zhenlun Wu
Ensheng Liu
author_sort Tengfei Zhou
collection DOAJ
description Due to the existence of environmental or human factors, and because of the instrument itself, there are many uncertainties in point clouds, which directly affect the data quality and the accuracy of subsequent processing, such as point cloud segmentation, 3D modeling, etc. In this paper, to address this problem, stochastic information of point cloud coordinates is taken into account, and on the basis of the scanner observation principle within the Gauss–Helmert model, a novel general point-based self-calibration method is developed for terrestrial laser scanners, incorporating both five additional parameters and six exterior orientation parameters. For cases where the instrument accuracy is different from the nominal ones, the variance component estimation algorithm is implemented for reweighting the outliers after the residual errors of observations obtained. Considering that the proposed method essentially is a nonlinear model, the Gauss–Newton iteration method is applied to derive the solutions of additional parameters and exterior orientation parameters. We conducted experiments using simulated and real data and compared them with those two existing methods. The experimental results showed that the proposed method could improve the point accuracy from 10<sup>−4</sup> to 10<sup>−8</sup> (a priori known) and 10<sup>−7</sup> (a priori unknown), and reduced the correlation among the parameters (approximately 60% of volume). However, it is undeniable that some correlations increased instead, which is the limitation of the general method.
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spelling doaj.art-1f96d5887887417592dbe057f35fd1052023-11-20T13:06:37ZengMDPI AGRemote Sensing2072-42922020-09-011218292310.3390/rs12182923A General Point-Based Method for Self-Calibration of Terrestrial Laser Scanners Considering Stochastic InformationTengfei Zhou0Xiaojun Cheng1Peng Lin2Zhenlun Wu3Ensheng Liu4College of Survey and Geo-Informatics, Tongji University, Shanghai 200092, ChinaCollege of Survey and Geo-Informatics, Tongji University, Shanghai 200092, ChinaCollege of Civil Engineering, Anhui Jianzhu University, Hefei 232001, ChinaBig Data Development Administration of Yichun, Yichun 336000, ChinaCollege of Survey and Geo-Informatics, Tongji University, Shanghai 200092, ChinaDue to the existence of environmental or human factors, and because of the instrument itself, there are many uncertainties in point clouds, which directly affect the data quality and the accuracy of subsequent processing, such as point cloud segmentation, 3D modeling, etc. In this paper, to address this problem, stochastic information of point cloud coordinates is taken into account, and on the basis of the scanner observation principle within the Gauss–Helmert model, a novel general point-based self-calibration method is developed for terrestrial laser scanners, incorporating both five additional parameters and six exterior orientation parameters. For cases where the instrument accuracy is different from the nominal ones, the variance component estimation algorithm is implemented for reweighting the outliers after the residual errors of observations obtained. Considering that the proposed method essentially is a nonlinear model, the Gauss–Newton iteration method is applied to derive the solutions of additional parameters and exterior orientation parameters. We conducted experiments using simulated and real data and compared them with those two existing methods. The experimental results showed that the proposed method could improve the point accuracy from 10<sup>−4</sup> to 10<sup>−8</sup> (a priori known) and 10<sup>−7</sup> (a priori unknown), and reduced the correlation among the parameters (approximately 60% of volume). However, it is undeniable that some correlations increased instead, which is the limitation of the general method.https://www.mdpi.com/2072-4292/12/18/2923self-calibrationGauss–Helmert modelrandom errorGauss–Newton methodvariance component estimation
spellingShingle Tengfei Zhou
Xiaojun Cheng
Peng Lin
Zhenlun Wu
Ensheng Liu
A General Point-Based Method for Self-Calibration of Terrestrial Laser Scanners Considering Stochastic Information
Remote Sensing
self-calibration
Gauss–Helmert model
random error
Gauss–Newton method
variance component estimation
title A General Point-Based Method for Self-Calibration of Terrestrial Laser Scanners Considering Stochastic Information
title_full A General Point-Based Method for Self-Calibration of Terrestrial Laser Scanners Considering Stochastic Information
title_fullStr A General Point-Based Method for Self-Calibration of Terrestrial Laser Scanners Considering Stochastic Information
title_full_unstemmed A General Point-Based Method for Self-Calibration of Terrestrial Laser Scanners Considering Stochastic Information
title_short A General Point-Based Method for Self-Calibration of Terrestrial Laser Scanners Considering Stochastic Information
title_sort general point based method for self calibration of terrestrial laser scanners considering stochastic information
topic self-calibration
Gauss–Helmert model
random error
Gauss–Newton method
variance component estimation
url https://www.mdpi.com/2072-4292/12/18/2923
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