Analysis of the temporal correlations of TLS range observations from plane fitting residuals

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  • Frankfurt University of Applied Sciences
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Original languageEnglish
Pages (from-to)119-132
Number of pages14
JournalISPRS Journal of Photogrammetry and Remote Sensing
Volume171
Early online date26 Nov 2020
Publication statusPublished - Jan 2021

Abstract

Terrestrial laser scanners (TLS) record a large number of points within a short time. Temporal correlations between observations are unavoidable but often neglected in stochastic modelling. The main consequences are an overestimated precision of the point clouds and potential wrong test decisions when used for deformation analysis with rigorous statistical procedures. Regarding physical considerations, a fractional Gaussian noise, defined by a so-called Hurst exponent, or a combination of fractional Gaussian noises could be used to model the noise of range measurements from a sensor perspective; Temporal correlations are expected to have a long-range dependency due to the high recording rate of the TLS. Scanning settings and configurations can affect the global correlation parameters. These effects can be quantified from the residuals of a least-squares surface approximation from the TLS point cloud. Based on simulation results, real data correlation analysis from indoor and outdoor experiments can be better understood which makes the identification of the dominant correlating noise source possible. Our methodology combines two Hurst-estimators: the Whittle maximum likelihood and the generalised Hurst estimator; It paves the way for a simple and global model for describing the temporal noise of TLS range correlations, usable in point clouds analysis independently of the object under consideration.

Keywords

    Correlations, Hurst parameter, Least-squares, Residuals, Terrestrial Laser Scanner

ASJC Scopus subject areas

Cite this

Analysis of the temporal correlations of TLS range observations from plane fitting residuals. / Kermarrec, Gaël; Lösler, Michael; Hartmann, Jens.
In: ISPRS Journal of Photogrammetry and Remote Sensing, Vol. 171, 01.2021, p. 119-132.

Research output: Contribution to journalArticleResearchpeer review

Kermarrec G, Lösler M, Hartmann J. Analysis of the temporal correlations of TLS range observations from plane fitting residuals. ISPRS Journal of Photogrammetry and Remote Sensing. 2021 Jan;171:119-132. Epub 2020 Nov 26. doi: 10.15488/11164, 10.1016/j.isprsjprs.2020.10.012
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