Details
| Original language | English |
|---|---|
| Article number | 829 |
| Journal | Remote sensing |
| Volume | 12 |
| Issue number | 5 |
| Publication status | Published - 4 Mar 2020 |
Abstract
The choice of an appropriate metric is mandatory to perform deformation analysis between two point clouds (PC)-the distance has to be trustworthy and, simultaneously, robust against measurement noise, which may be correlated and heteroscedastic. The Hausdorff distance (HD) or its averaged derivation (AHD) are widely used to compute local distances between two PC and are implemented in nearly all commercial software. Unfortunately, they are affected by measurement noise, particularly when correlations are present. In this contribution, we focus on terrestrial laser scanner (TLS) observations and assess the impact of neglecting correlations on the distance computation when a mathematical approximation is performed. The results of the simulations are extended to real observations from a bridge under load. Highly accurate laser tracker (LT) measurements were available for this experiment: they allow the comparison of the HD and AHD between two raw PC or between their mathematical approximations regarding reference values. Based on these results, we determine which distance is better suited in the case of heteroscedastic and correlated TLS observations for local deformation analysis. Finally, we set up a novel bootstrap testing procedure for this distance when the PC are approximated with B-spline surfaces.
Keywords
- Averaged Hausdor distance, B-splines, Bootstrapping, Correlations, Deformation, Hausdor distance, Matérn covariance function, Surface modelling, Terrestrial laser scanning
ASJC Scopus subject areas
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In: Remote sensing, Vol. 12, No. 5, 829, 04.03.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Deformation Analysis Using B-Spline Surface with Correlated Terrestrial Laser Scanner Observations—A Bridge Under Load
AU - Kermarrec, Gaël
AU - Kargoll, Boris
AU - Alkhatib, Hamza
N1 - Funding information: The publication of this article was funded by the Open Access fund of Leibniz Universität Hannover.
PY - 2020/3/4
Y1 - 2020/3/4
N2 - The choice of an appropriate metric is mandatory to perform deformation analysis between two point clouds (PC)-the distance has to be trustworthy and, simultaneously, robust against measurement noise, which may be correlated and heteroscedastic. The Hausdorff distance (HD) or its averaged derivation (AHD) are widely used to compute local distances between two PC and are implemented in nearly all commercial software. Unfortunately, they are affected by measurement noise, particularly when correlations are present. In this contribution, we focus on terrestrial laser scanner (TLS) observations and assess the impact of neglecting correlations on the distance computation when a mathematical approximation is performed. The results of the simulations are extended to real observations from a bridge under load. Highly accurate laser tracker (LT) measurements were available for this experiment: they allow the comparison of the HD and AHD between two raw PC or between their mathematical approximations regarding reference values. Based on these results, we determine which distance is better suited in the case of heteroscedastic and correlated TLS observations for local deformation analysis. Finally, we set up a novel bootstrap testing procedure for this distance when the PC are approximated with B-spline surfaces.
AB - The choice of an appropriate metric is mandatory to perform deformation analysis between two point clouds (PC)-the distance has to be trustworthy and, simultaneously, robust against measurement noise, which may be correlated and heteroscedastic. The Hausdorff distance (HD) or its averaged derivation (AHD) are widely used to compute local distances between two PC and are implemented in nearly all commercial software. Unfortunately, they are affected by measurement noise, particularly when correlations are present. In this contribution, we focus on terrestrial laser scanner (TLS) observations and assess the impact of neglecting correlations on the distance computation when a mathematical approximation is performed. The results of the simulations are extended to real observations from a bridge under load. Highly accurate laser tracker (LT) measurements were available for this experiment: they allow the comparison of the HD and AHD between two raw PC or between their mathematical approximations regarding reference values. Based on these results, we determine which distance is better suited in the case of heteroscedastic and correlated TLS observations for local deformation analysis. Finally, we set up a novel bootstrap testing procedure for this distance when the PC are approximated with B-spline surfaces.
KW - Averaged Hausdor distance
KW - B-splines
KW - Bootstrapping
KW - Correlations
KW - Deformation
KW - Hausdor distance
KW - Matérn covariance function
KW - Surface modelling
KW - Terrestrial laser scanning
UR - http://www.scopus.com/inward/record.url?scp=85081913594&partnerID=8YFLogxK
U2 - 10.3390/rs12050829
DO - 10.3390/rs12050829
M3 - Article
VL - 12
JO - Remote sensing
JF - Remote sensing
SN - 2072-4292
IS - 5
M1 - 829
ER -