On the sensitivity of the parameters of the intensity-based stochastic model for terrestrial laser scanner. Case study: B-spline approximation

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Kermarrec, G.; Alkhatib, H.; Neumann, I.: On the sensitivity of the parameters of the intensity-based stochastic model for terrestrial laser scanner. Case study: B-spline approximation. In: Sensors 18 (2018), Nr. 9, 2964. DOI: https://doi.org/10.3390/s18092964

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To cite the version in the repository, please use this identifier: https://doi.org/10.15488/4166

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Sum total of downloads: 63




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Abstract: 
For a trustworthy least-squares (LS) solution, a good description of the stochastic properties of the measurements is indispensable. For a terrestrial laser scanner (TLS), the range variance can be described by a power law function with respect to the intensity of the reflected signal. The power and scaling factors depend on the laser scanner under consideration, and could be accurately determined by means of calibrations in 1d mode or residual analysis of LS adjustment. However, such procedures complicate significantly the use of empirical intensity models (IM). The extent to which a point-wise weighting is suitable when the derived variance covariance matrix (VCM) is further used in a LS adjustment remains moreover questionable. Thanks to closed loop simulations, where both the true geometry and stochastic model are under control, we investigate how variations of the parameters of the IM affect the results of a LS adjustment. As a case study, we consider the determination of the Cartesian coordinates of the control points (CP) from a B-splines curve. We show that a constant variance can be assessed to all the points of an object having homogeneous properties, without affecting the a posteriori variance factor or the loss of efficiency of the LS solution. The results from a real case scenario highlight that the conclusions of the simulations stay valid even for more challenging geometries. A procedure to determine the range variance is proposed to simplify the computation of the VCM.
License of this version: CC BY 4.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2018
Appears in Collections:Fakultät für Bauingenieurwesen und Geodäsie

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pos. country downloads
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1 image of flag of Germany Germany 52 82.54%
2 image of flag of United States United States 3 4.76%
3 image of flag of Philippines Philippines 2 3.17%
4 image of flag of Austria Austria 2 3.17%
5 image of flag of Russian Federation Russian Federation 1 1.59%
6 image of flag of United Kingdom United Kingdom 1 1.59%
7 image of flag of China China 1 1.59%
8 image of flag of Canada Canada 1 1.59%

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