Prof. Dr.-Ing. Rüdiger Lehmann

Faculty of Spatial Information

Prof. Dr.-Ing. Rüdiger Lehmann

Professor of Surveying Engineering

My main scientific interests are directed towards developing new estimation techniques for ever more complex geodetic observation models, to enhance the retrieval of valuable information from the measurements in terms of accuracy, reliability, and computational efficiency. Such novel techniques include outlier detection, robust estimation, advanced methods of hypothesis testing and model selection in geodetic adjustment models as well as Monte Carlo techniques for geodetic data analysis.

published recently

Title: Mean Shift versus Variance Inflation Approach for Outlier Detection – a Comparative Study
Authors: Rüdiger Lehmann (HTW Dresden), Michael Lösler (Frankfurt University of Applied Sciences), Frank Neitzel (TU Berlin)
JournalMathematics (ISSN 2227-7390)

Abstract:
Outlier detection is one of the most important tasks in the analysis of measured quantities to ensure reliable results. In recent years, a variety of multi-sensor platforms has become available, which allow autonomous and continuous acquisition of large quantities of heterogeneous observations. Since the probability that such data sets contain outliers increases with the quantity of measured values, powerful methods are required to identify contaminated observations. In geodesy, the mean shift model (MS) is one of the most commonly used approaches for outlier detection. In addition to the MS model, there is an alternative approach with the model of variance inflation (VI). In this investigation the VI approach is derived in detail, truly maximizing the likelihood functions and examined for outlier detection of one or multiple outliers.
In general, the variance inflation approach is non-linear, even if the null model is linear. Thus, an analytical solution does usually not exist, except in the case of repeated measurements. The test statistic is derived from the likelihood ratio (LR) of the models. The VI approach is compared with the MS model in terms of statistical power, identifiability of actual outliers and numerical effort. The main purpose of this paper is to examine the performance of both approaches in order to derive recommendations for the practical application of outlier detection.

OPEN ACCESS: https://www.mdpi.com/2227-7390/8/6/991

Publications since 2008

2020

Bias in least-squares adjustment of implicit functional models
Survey review - ahead of print DOI: 10.1080/00396265.2020.1715680 (together with M. Lösler, F. Neitzel, C. Eschelbach)

2019

Type-Constrained Total Least Squares Fitting of Curved Surfaces to 3D Point Clouds
Journal of Mathematical and Statistical Analysis, Volume 2 - Issue 1 (2019) [OPEN ACCESS]

2018

Hypothesis Testing in Non-Linear Models Exemplified by the Planar Coordinate Transformations
Journal of Geodetic Science, Volume 8, Issue 1, Pages 98–114 (2018) DOI:10.1515/jogs-2018-0009 (together with M. Lösler)

A half-century of Baarda’s concept of reliability: a review, new perspectives, and applications
Survey Review, Volume 52, Issue 372, Pages 261-277 (2018) DOI: 10.1080/00396265.2018.1548118 (together with Vinicius Francisco Rofatto, M. T. Matsuoka, I. Klein, M. R. Veronez, M. L. Bonimani)

IN DUBIO PRO GEO – Eine universelle geodätische Cloud Computing Software – Stand 2018
OPEN ACCESS of original via Qucosa (2018)

A universal and robust computation procedure for geometric observations
Survey Review, Volume 50, Issue 361, Pages 364-372 (2018). DOI: 10.1080/00396265.2017.1279844

2017

Congruence analysis of geodetic networks – hypothesis tests versus model selection by information criteria
Journal of Applied Geodesy, Volume 11, Issue 4, Pages 271–283 (2017). DOI: 10.1515/jag-2016-0049 (together with M. Lösler)

Modellselektion mittels Akaike-Informationskriterium – Anwendung in der Kongruenzanalyse
Allgemeine Vermessungs-Nachrichten 05/2017 (zusammen mit M. Lösler und C. Eschelbach)

On the statistical power of Baarda’s outlier test and some alternative
Journal of Geodetic Science, Volume 7, Issue 1, Pages 68–78 (2017). DOI:10.1515/jogs-2017-0008 (together with A. Voß-Böhme)

2016

Epochenvergleiche von Präzisions-EDM-Messungen zur Untersuchung der Punktstabilität auf einer EDM-Basislinie
Schriftenreihe des Instituts für Markscheidewesen und Geodäsie an der Technischen Universität Bergakademie Freiberg 2016-1

Multiple outlier detection: hypothesis tests versus model selection by information criteria
Journal of Surveying Engineering, Volume 142, Issue 4 (2016) DOI:10.1061/(ASCE)SU.1943-5428.0000189 (together with M. Lösler)
OPEN ACCESS of original via Qucosa

2015

Ein automatisches Verfahren für geodätische Berechnungen
Allgemeine Vermessungs-Nachrichten 03/2015
►OPEN ACCESS of original via Qucosa

Observation error model selection by information criteria vs. normality testing
Studia Geophysica et Geodetica, Volume 59, Issue 4, Pages 489-504 (2015), DOI: 10.1007/s11200-015-0725-0
►OPEN ACCESS of postprint via Qucosa

2014

Detection of a sinusoidal oscillation of unknown frequency in a time series - a geodetic approach
Journal of Geodetic Science, Volume 4, Issue 1, ISSN (Online) 2081-9943 (2014), DOI: 10.2478/jogs-2014-0015 (OPEN ACCESS)

Transformation model selection by multiple hypotheses testing
Journal of Geodesy, Volume 88, Issue 12, Pages 1117-1130 (2014), DOI:10.1007/s00190-014-0747-3
OPEN ACCESS of postprint via Qucosa

►The usage of recursive parameter estimation in automated reference point determination
Geophysical Research Abstracts Vol. 16, EGU2014-11215, 2014 (together with T. Lossin, M. Lösler, A. Neidhardt, S. Mähler, and Th. Klügel)

Geodetic investigation of accuracy and reliability of INS/GNSS system iTraceRT-F200-E for navigation in tunnels
IEEE Xplore 2014, DOI 10.1109/WPNC.2014.6843285 (together with A. Bilajbegovic)

The usage of recursive parameter estimation in automated reference point determination
General Meeting of the International VLBI Service for Geodesy and Astrometry (IVS) Shanghai March 2-7, 2014 (together with T. Lossin, M. Lösler, A. Neidhardt, S. Mähler)

Langzeitmonitoring zur Überwachung des geodätischen Referenzpunktes eines VLBI2010-Radioteleskops
Beitrag zum 129. DVW-Seminar "Zeitabhängige Messgrößen – Ihre Daten haben (Mehr-)Wert" am 26. und 27. Februar 2014 in Hannover, DVW-Schriftenreihe Band 74, Wissner Verlag (zusammen mit M. Lösler, T. Lossin, A. Neidhardt)

Ausreißererkennung in geodätischen Zeitreihen
Beitrag zum 129. DVW-Seminar "Zeitabhängige Messgrößen – Ihre Daten haben (Mehr-)Wert" am 26. und 27. Februar 2014 in Hannover, DVW-Schriftenreihe Band 74, Wissner Verlag

Untersuchung zur automatisierten Bestimmung des IVS-Referenzpunktes am TWIN Radioteleskop Wettzell
In: Wieser, A. (Hrsg): Ingenieurvermessung 14: Beiträge zum 17. Internationalen Ingenieurvermessungskurs Zürich, 14.-17. Januar 2014, Wichmann, S. 335-346, ISBN: 978-3879075355, 2014 (zusammen mit M. Lösler, T. Lossin, A. Neidhardt)
►OPEN ACCESS of postprint via Qucosa

2013

The 3sigma-rule for outlier detection from the viewpoint of geodetic adjustment
Journal of Surveying Engineering, Volume 139, Issue 4, Pages 157–165 (2013), DOI 10.1061/(ASCE)SU.1943-5428.0000112
OPEN ACCESS of postprint via Qucosa

Testing the compatibility of constraints for parameters of a geodetic adjustment model
Journal of Geodesy, Volume 87, Issue 6, Pages 555-566 (2013), DOI: 10.1007/s00190-013-0627-2 (together with F. Neitzel)
►OPEN ACCESS of postprint via Qucosa

On the formulation of the alternative hypothesis for geodetic outlier detection
Journal of Geodesy, Volume 87, Issue 4, Pages 373-386 (2013), DOI: 10.1007/s00190-012-0607-y
OPEN ACCESS of postprint via Qucosa

2012

Improved critical values for extreme normalized and studentized residuals in Gauss–Markov models
Journal of Geodesy, Volume 86, Issue 12, Pages 1137–1146 (2012), DOI: 10.1007/s00190-012-0569-0
OPEN ACCESS of postprint via Qucosa

Geodätische Fehlerrechnung mit der skalenkontaminierten Normalverteilung
Allgemeine Vermessungsnachrichten 5/2012. VDE-Verlag Offenbach
OPEN ACCESS of postprint via Qucosa

2011

Monte Carlo based data snooping with application to a geodetic network (together with T. Scheffler)
Journal of Applied Geodesy, Volume 5, Issue 3-4, Pages 123–134 (2011), DOI: 10.1515/JAG.2011.014

2010

Im Schwerpunkt der Anschlusspunkte – Zur Genauigkeit geodätischer Koordinatentransformationen
Allgemeine Vermessungsnachrichten 4/2010. VDE-Verlag Offenbach.
►OPEN ACCESS of postprint via Qucosa

Normierte Verbesserungen – wie groß ist zu groß?
Allgemeine Vermessungsnachrichten 2/2010. VDE-Verlag Offenbach

2009

Conveyance of large cruise liners – Geodetic investigation of rolling and track prediction (zusammen mit B. Koop)
Journal of Applied Geodesy, Volume 3, Issue 3, Pages 131–141 (2009), DOI: 10.1515/JAG.2009.014

Filterung geodätischer Daten bei der Ems-Überführung von Kreuzfahrtschiffen (PDF | 460 KB)
Beitrag zum 85. DVW-Seminar ''Zeitabhängige Messgrößen - verborgene Schätze in unseren Daten'' am 7. und 8. September 2009 in Kassel. Schriftenreihe des DVW e.V. - Gesellschaft für Geodäsie, Geoinformation und Landmanagement Band 59/2009, Seite 211-223

Geodetic Investigation of Ship Roll Estimation for Manoeuvring Control of Cruise Liner Conveyance (PDF | 415 KB)
In: A. Härting & J. Reinking (Eds.) Nautic Aspects of Ship Dynamics, Elsflether Schriften zur Seeverkehrs- und Hafenwirtschaft, Vol. 4, pp. 167-176, 2009 (together with B. Koop)

2008

Navigation of large cruise liners built by Meyer Werft, Germany (PDF | 459 KB)
Contribution to Conference Proceedings of POSITIONs 2008, Dresden 7.-9.10.2008, pp. 313-325 (together with B. Koop)

Das arithmetische Mittel von Mehrfachmessungen unter Wiederholbedingungen
Allgemeine Vermessungsnachrichten 01/2008. VDE-Verlag Offenbach

Does GNSS outperform GPS in Geodetic Applications? (PDF | 621 KB)
Contribution to Conference Proceedings of POSITIONs 2008, Dresden 7.-9.10.2008, pp. 313-325 (together with A. Bilajbegovic)

Prof. Dr.-Ing. Rüdiger Lehmann

Prof. Dr.-Ing. Rüdiger Lehmann