2016
DOI: 10.1016/j.optlaseng.2015.11.010
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Point cloud uncertainty analysis for laser radar measurement system based on error ellipsoid model

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Cited by 18 publications
(8 citation statements)
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“…For each point, the variance propagation process provides a 3×3 covariance matrix, Σ , as measurement of spatial uncertainty. Closed formulations of the 3D positional uncertainty, Σ , as a function of instrumental measurement errors can be found in Maalek et al [11] for TLS ( Figure 1a), Zhengchun et al [28] for laser radar measurement system (LRMS), Mourikis and Roumeliotis [32] for SLAM-based instruments (Figure 1b), and Beder and Steffen [33] for SfMbased techniques (Figure 1c). For each point, , the corresponding spatial uncertainty, Σ , can be used to construct an error ellipsoid as follows:…”
Section: Point Cloud Spatial Uncertaintymentioning
confidence: 92%
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“…For each point, the variance propagation process provides a 3×3 covariance matrix, Σ , as measurement of spatial uncertainty. Closed formulations of the 3D positional uncertainty, Σ , as a function of instrumental measurement errors can be found in Maalek et al [11] for TLS ( Figure 1a), Zhengchun et al [28] for laser radar measurement system (LRMS), Mourikis and Roumeliotis [32] for SLAM-based instruments (Figure 1b), and Beder and Steffen [33] for SfMbased techniques (Figure 1c). For each point, , the corresponding spatial uncertainty, Σ , can be used to construct an error ellipsoid as follows:…”
Section: Point Cloud Spatial Uncertaintymentioning
confidence: 92%
“…This shows that if, for instance, a fixed distance threshold of say 5mm is adopted to assign points around the mode of the histogram as floors, 99% of the TLS and only 32% of the smartphone 3D reconstruction points will be identified as belonging to the floor. Therefore, a successful distance threshold ( Figure 1f) must incorporate the expected point measurement uncertainties related to a particular point cloud instrument [11,[27][28][29]. Given a calibrated point cloud collection instrument (assumption of modeled systematic errors), the point measurement uncertainties in the Cartesian coordinate system (i.e.…”
Section: Point Cloud Spatial Uncertaintymentioning
confidence: 99%
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“…This shows that if, for instance, a fixed distance threshold of, say, 5 mm is adopted to assign points around the mode of the histogram as floors, 99% of the TLS and only 32% of the smartphone 3D reconstruction points will be identified as belonging to the floor. Therefore, a successful distance threshold ( Figure 1f) must incorporate the expected point measurement uncertainties related to a particular point cloud instrument [16,26,38,39].…”
Section: Point Cloud Spatial Uncertaintymentioning
confidence: 99%
“…The parameters e i , 1 , e i , 2 and e i , 3 are samples from a statistical distribution with expectation value zero and standard deviations e i, 1 , e i, 2 and e i, 3 , respectively.…”
Section: Laser Tracker Uncertainty Modelmentioning
confidence: 99%