Details
| Original language | English |
|---|---|
| Pages (from-to) | 27-35 |
| Number of pages | 9 |
| Journal | Journal of Applied Geodesy |
| Volume | 10 |
| Issue number | 1 |
| Publication status | Published - 1 Mar 2016 |
Abstract
In many geodetic engineering applications it is necessary to solve the problem of describing a measured data point cloud, measured, e. g. by laser scanner, by means of free-form curves or surfaces, e. g., with B-Splines as basis functions. The state of the art approaches to determine B-Splines yields results which are seriously manipulated by the occurrence of data gaps and outliers. Optimal and robust B-Spline fitting depend, however, on optimal selection of the knot vector. Hence we combine in our approach Monte-Carlo methods and the location and curvature of the measured data in order to determine the knot vector of the B-Spline in such a way that no oscillating effects at the edges of data gaps occur. We introduce an optimized approach based on computed weights by means of resampling techniques. In order to minimize the effect of outliers, we apply robust M-estimators for the estimation of control points. The above mentioned approach will be applied to a multi-sensor system based on kinematic terrestrial laserscanning in the field of rail track inspection.
Keywords
- B-Splines, Deformation, Free-form Curve, Knot Adjustment, Monte-Carlo Resampling Techniques, Robust Parameter Estimation
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Engineering (miscellaneous)
- Earth and Planetary Sciences(all)
- Earth and Planetary Sciences (miscellaneous)
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In: Journal of Applied Geodesy, Vol. 10, No. 1, 01.03.2016, p. 27-35.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Robust Spatial Approximation of Laser Scanner Point Clouds by Means of Free-form Curve Approaches in Deformation Analysis
AU - Bureick, Johannes
AU - Alkhatib, Hamza
AU - Neumann, Ingo
N1 - A large part of the shown results were developed in the research project “Advanced Rail Track Inspection System (ARTIS)” supported by the Federal Ministry for Economic Affairs and Energy on the basis of a decision by the German Bundestag.
PY - 2016/3/1
Y1 - 2016/3/1
N2 - In many geodetic engineering applications it is necessary to solve the problem of describing a measured data point cloud, measured, e. g. by laser scanner, by means of free-form curves or surfaces, e. g., with B-Splines as basis functions. The state of the art approaches to determine B-Splines yields results which are seriously manipulated by the occurrence of data gaps and outliers. Optimal and robust B-Spline fitting depend, however, on optimal selection of the knot vector. Hence we combine in our approach Monte-Carlo methods and the location and curvature of the measured data in order to determine the knot vector of the B-Spline in such a way that no oscillating effects at the edges of data gaps occur. We introduce an optimized approach based on computed weights by means of resampling techniques. In order to minimize the effect of outliers, we apply robust M-estimators for the estimation of control points. The above mentioned approach will be applied to a multi-sensor system based on kinematic terrestrial laserscanning in the field of rail track inspection.
AB - In many geodetic engineering applications it is necessary to solve the problem of describing a measured data point cloud, measured, e. g. by laser scanner, by means of free-form curves or surfaces, e. g., with B-Splines as basis functions. The state of the art approaches to determine B-Splines yields results which are seriously manipulated by the occurrence of data gaps and outliers. Optimal and robust B-Spline fitting depend, however, on optimal selection of the knot vector. Hence we combine in our approach Monte-Carlo methods and the location and curvature of the measured data in order to determine the knot vector of the B-Spline in such a way that no oscillating effects at the edges of data gaps occur. We introduce an optimized approach based on computed weights by means of resampling techniques. In order to minimize the effect of outliers, we apply robust M-estimators for the estimation of control points. The above mentioned approach will be applied to a multi-sensor system based on kinematic terrestrial laserscanning in the field of rail track inspection.
KW - B-Splines
KW - Deformation
KW - Free-form Curve
KW - Knot Adjustment
KW - Monte-Carlo Resampling Techniques
KW - Robust Parameter Estimation
UR - http://www.scopus.com/inward/record.url?scp=84960955697&partnerID=8YFLogxK
U2 - 10.1515/jag-2015-0020
DO - 10.1515/jag-2015-0020
M3 - Article
VL - 10
SP - 27
EP - 35
JO - Journal of Applied Geodesy
JF - Journal of Applied Geodesy
SN - 1862-9016
IS - 1
ER -