Monte Carlo variance propagation for the uncertainty modeling of a kinematic LiDAR-based multi-sensor system

Research output: Contribution to journalArticleResearchpeer review

View graph of relations

Details

Original languageEnglish
Pages (from-to)237-252
Number of pages16
JournalJournal of Applied Geodesy
Volume18
Issue number2
Early online date7 Sept 2023
Publication statusPublished - 4 Apr 2024

Abstract

Kinematic multi-sensor systems (MSS) are widely used for various applications, like mobile mapping or for autonomous systems. Depending on the application, insufficient knowledge of a system, like wrong assumptions about the accuracy of calibrations, might lead to inaccurate maps for mapping tasks or it might endanger humans in the context of autonomous driving. Uncertainty modeling can help to gain knowledge about the data captured by a system. Usually, uncertainty estimations for MSSs are done as backward modeling based on a comparison to reference datasets. In this paper, a forward modeling approach for the uncertainty modeling of a LiDAR-based kinematic MSS is chosen to estimate the uncertainty of an acquired point cloud. The MSS consists of a Leica Absolute Tracker and a platform with a 6-DoF sensor and Velodyne VLP-16 LiDAR. Results of multiple calibrations are used as the source for the uncertainty information for a Monte Carlo (MC) variance propagation of the point uncertainties. The deviations of the acquired point clouds in comparison to a ground truth can be decreased by an ensemble referencing process using the MC samples. Furthermore, the predicted uncertainties for the point clouds are well representing the actual deviations for reference panels closer to the system. Panels farther away indicate remaining distance depending effects.

Keywords

    Kinematic Laser Scanning, variance propagation, Uncertainty modeling, Monte Carlo Method, GUM, Multi-sensor system, Monte Carlo method, uncertainty modeling, kinematic laser scanning, multi-sensor system

ASJC Scopus subject areas

Cite this

Monte Carlo variance propagation for the uncertainty modeling of a kinematic LiDAR-based multi-sensor system. / Ernst, Dominik; Vogel, Sören; Alkhatib, Hamza et al.
In: Journal of Applied Geodesy, Vol. 18, No. 2, 04.04.2024, p. 237-252.

Research output: Contribution to journalArticleResearchpeer review

Ernst D, Vogel S, Alkhatib H, Neumann I. Monte Carlo variance propagation for the uncertainty modeling of a kinematic LiDAR-based multi-sensor system. Journal of Applied Geodesy. 2024 Apr 4;18(2):237-252. Epub 2023 Sept 7. doi: 10.1515/jag-2022-0033
Download
@article{76359474cf8a424084e8cc05fb1a30dc,
title = "Monte Carlo variance propagation for the uncertainty modeling of a kinematic LiDAR-based multi-sensor system",
abstract = "Kinematic multi-sensor systems (MSS) are widely used for various applications, like mobile mapping or for autonomous systems. Depending on the application, insufficient knowledge of a system, like wrong assumptions about the accuracy of calibrations, might lead to inaccurate maps for mapping tasks or it might endanger humans in the context of autonomous driving. Uncertainty modeling can help to gain knowledge about the data captured by a system. Usually, uncertainty estimations for MSSs are done as backward modeling based on a comparison to reference datasets. In this paper, a forward modeling approach for the uncertainty modeling of a LiDAR-based kinematic MSS is chosen to estimate the uncertainty of an acquired point cloud. The MSS consists of a Leica Absolute Tracker and a platform with a 6-DoF sensor and Velodyne VLP-16 LiDAR. Results of multiple calibrations are used as the source for the uncertainty information for a Monte Carlo (MC) variance propagation of the point uncertainties. The deviations of the acquired point clouds in comparison to a ground truth can be decreased by an ensemble referencing process using the MC samples. Furthermore, the predicted uncertainties for the point clouds are well representing the actual deviations for reference panels closer to the system. Panels farther away indicate remaining distance depending effects.",
keywords = "Kinematic Laser Scanning, variance propagation, Uncertainty modeling, Monte Carlo Method, GUM, Multi-sensor system, Monte Carlo method, uncertainty modeling, kinematic laser scanning, multi-sensor system",
author = "Dominik Ernst and S{\"o}ren Vogel and Hamza Alkhatib and Ingo Neumann",
note = "The authors would like to thank Aaronkumar Ehambram and Raphael Voges of the Real Time Systems research group (RTS) of the Institute for Systems Engineering at the Leibniz University Hannover for providing access to the robot and the support with the measurements.",
year = "2024",
month = apr,
day = "4",
doi = "10.1515/jag-2022-0033",
language = "English",
volume = "18",
pages = "237--252",
number = "2",

}

Download

TY - JOUR

T1 - Monte Carlo variance propagation for the uncertainty modeling of a kinematic LiDAR-based multi-sensor system

AU - Ernst, Dominik

AU - Vogel, Sören

AU - Alkhatib, Hamza

AU - Neumann, Ingo

N1 - The authors would like to thank Aaronkumar Ehambram and Raphael Voges of the Real Time Systems research group (RTS) of the Institute for Systems Engineering at the Leibniz University Hannover for providing access to the robot and the support with the measurements.

PY - 2024/4/4

Y1 - 2024/4/4

N2 - Kinematic multi-sensor systems (MSS) are widely used for various applications, like mobile mapping or for autonomous systems. Depending on the application, insufficient knowledge of a system, like wrong assumptions about the accuracy of calibrations, might lead to inaccurate maps for mapping tasks or it might endanger humans in the context of autonomous driving. Uncertainty modeling can help to gain knowledge about the data captured by a system. Usually, uncertainty estimations for MSSs are done as backward modeling based on a comparison to reference datasets. In this paper, a forward modeling approach for the uncertainty modeling of a LiDAR-based kinematic MSS is chosen to estimate the uncertainty of an acquired point cloud. The MSS consists of a Leica Absolute Tracker and a platform with a 6-DoF sensor and Velodyne VLP-16 LiDAR. Results of multiple calibrations are used as the source for the uncertainty information for a Monte Carlo (MC) variance propagation of the point uncertainties. The deviations of the acquired point clouds in comparison to a ground truth can be decreased by an ensemble referencing process using the MC samples. Furthermore, the predicted uncertainties for the point clouds are well representing the actual deviations for reference panels closer to the system. Panels farther away indicate remaining distance depending effects.

AB - Kinematic multi-sensor systems (MSS) are widely used for various applications, like mobile mapping or for autonomous systems. Depending on the application, insufficient knowledge of a system, like wrong assumptions about the accuracy of calibrations, might lead to inaccurate maps for mapping tasks or it might endanger humans in the context of autonomous driving. Uncertainty modeling can help to gain knowledge about the data captured by a system. Usually, uncertainty estimations for MSSs are done as backward modeling based on a comparison to reference datasets. In this paper, a forward modeling approach for the uncertainty modeling of a LiDAR-based kinematic MSS is chosen to estimate the uncertainty of an acquired point cloud. The MSS consists of a Leica Absolute Tracker and a platform with a 6-DoF sensor and Velodyne VLP-16 LiDAR. Results of multiple calibrations are used as the source for the uncertainty information for a Monte Carlo (MC) variance propagation of the point uncertainties. The deviations of the acquired point clouds in comparison to a ground truth can be decreased by an ensemble referencing process using the MC samples. Furthermore, the predicted uncertainties for the point clouds are well representing the actual deviations for reference panels closer to the system. Panels farther away indicate remaining distance depending effects.

KW - Kinematic Laser Scanning

KW - variance propagation

KW - Uncertainty modeling

KW - Monte Carlo Method

KW - GUM

KW - Multi-sensor system

KW - Monte Carlo method

KW - uncertainty modeling

KW - kinematic laser scanning

KW - multi-sensor system

UR - http://www.scopus.com/inward/record.url?scp=85170692802&partnerID=8YFLogxK

U2 - 10.1515/jag-2022-0033

DO - 10.1515/jag-2022-0033

M3 - Article

VL - 18

SP - 237

EP - 252

JO - Journal of Applied Geodesy

JF - Journal of Applied Geodesy

SN - 1862-9016

IS - 2

ER -

By the same author(s)